diff --git "a/data/dm_maths/full_data_1/2563_11255.jsonl" "b/data/dm_maths/full_data_1/2563_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2563_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 12, e: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1 + 25*q + 40*q - 6*q - 3*q. What is the least common multiple of m(2) and (0 - -2) + 5 - 200\/(-100)?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3486)\/83)\/(10*45\/300).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d + 17. Let u(z) = 21*z - 34. Let r(l) = 2*u(l) + 5*v(l). Let j(i) = -i + 2. Determine 51*j(q) - 6*r(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*k**2*w**3 + 368*i**2*k - 597*k**2*w**3 + k**2*w**2 + 2*k*w**3 - k*w**2 - k wrt w.\nAnswer: 6*i**2*k**2 - 3582*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*h**3 + 0*h + 9\/2*h**2 + 0.\nAnswer: 3*h**2*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*k - 51, -2*a - 25 + 59 = 3*k. Let f(u) = u + 2. Let j be f(k). Solve j = -5*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, v: 1}. Give prob of picking 1 m and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -6*q - 12. Suppose 2*m + 7 - 29 = 0. Let w = m + q. Solve 0*g + w = 5*g, -2*p - 7 = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x + 32. Let s be b(13). Calculate the remainder when 39 is divided by s\/(-12) + 3\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177 + -15 - (1 + -2 + 2)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39144?\nAnswer: 2, 3, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9672, 19346, 29020?\nAnswer: 38694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -26. Suppose 7 = 6*q - y. Does 14 divide (-5)\/((-5)\/q) + 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/7 - 10376*h\/7 + 3246528\/7 = 0.\nAnswer: -5484, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**5\/2 - 82735*p**4 - 1368684745*p**3\/2 + 2743658710*p**2 + 41080410150*p = 0.\nAnswer: -16549, -6, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:55 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/5)*o)**(-44)\/((o*o**(2\/47)*o)\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(-18699\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-3) + 5 + -2 + 5. What is the second smallest value in 2, w, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702834.\nAnswer: 2, 3, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263047?\nAnswer: 1263047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 17*r - 7. Let c be k(-9). Suppose -c*w + 16 = -2*m, 3*m - 4 = 5*m. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/((-8)\/(-6))*2. Let m(c) = 20*c + 4. Let n be m(q). Suppose 4*x - n = -24. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266286 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijgjldij. What is prob of picking 1 l, 1 j, 1 i, and 1 d?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2061 - 1400. Let m = j + -661.2. Let y = 0.03 + -0.33. What is the fourth biggest value in y, 1, 0.3, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455219518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-60)\/42)\/(70\/(-98))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35015 (base 6) in base 13?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31727 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6 + 6. Let h be o\/27 - 32\/(-18). Solve h*a + 2 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2778 + 30518\/11. Are t and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + s**5 + 0 - 16*s + 2*s**5 + 16*s + s**5 - s**2 + s**2 + (2*s**3 - 2 + 2)*(0 + 2*s**2 + 0) + 0*s**5 - 192*s**3 - 647*s**3 - s**5.\nAnswer: 7*s**5 - 839*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 4*y + 8, 5*f - 5*y = 20. Let k(z) be the third derivative of -1\/54*z**f + 1\/54*z**5 + 7\/540*z**6 + 0*z + 0 + z**2 + 0*z**3. Factor k(r).\nAnswer: 2*r*(r + 1)*(7*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, g: 1, w: 2, q: 1}. Give prob of sequence ww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.3662 hours in milliseconds?\nAnswer: 2287318320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*k - 4 + 5, 0 = -5*s - 3*k + 37. Let d(v) = 3*v**2 - 2*v + 7. Let a be d(s). What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -518 - -460.6. Let v = 57 + f. Let z = 3 - 3.3. Put z, v, 0.4 in ascending order.\nAnswer: v, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = -g, -2*g = -7*g - m + 35. Let j(s) = 9*s + 10. List the prime factors of j(g).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**2 + 8*o + 8. Differentiate a(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaappppppppaa. What is prob of picking 2 a and 1 p?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 8*y - 6. Let p(k) = k**2 - k - 1. Let j(d) = n(d) - 3*p(d). Let f(o) = o**3 + 2*o**2 - 3*o + 6. Let i be f(-3). Give j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460960*v**4 + 14000*v**2 + 27*v.\nAnswer: -11063040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 1758 = 24*g. List the prime factors of g.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -12*6\/9. Let h(f) = -8018*f - w - 2 + 8014*f. Determine h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o + 4. Let n be a(4). Suppose -n*i - 18 = -6*i. What is the smallest common multiple of i\/(1*(-9)\/(-6)) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -941, -942, -945, -950, -957?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 3)*(-4 + 0 + 3) - 2 - 1 + 1)*(4*s + 3*s - 6*s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(54\/(-12) + 3) + 5. Let d(z) = -z**2 - 5*z + 6. Let f be d(-6). Suppose 5*g - h = 3*k - f*k, 4*g - 11 = -k. Solve g*a + 3 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r - 2*r + (0 + 3 - 2)*(-4*r + r - 3*r))*(r**2 + 2*r**2 - 2*r**2).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(4)*-1))\/(sqrt(8)*-2) + 6*(-2*sqrt(245) + 3 - sqrt(245)) + 1)**2.\nAnswer: -9557*sqrt(5)\/2 + 1270821\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10228*h + 10240*h - 8652. Let s = -218 - -349. Suppose 0 = 5*t - h + s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = -1108. Let d = -391 - c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*-1*3\/(-9). Let q(z) = -2*z - 2. Let k be q(-2). Suppose -2*s = -2*j - s + 7, -5 = -j + k*s. Calculate the greatest common divisor of b and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (0 - (1 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*n + 2176 - 1882. Sort n, -1, 2, 3 in decreasing order.\nAnswer: n, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4686427381 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1039*o**3 + 6*o**2 - 5*o. Let t(d) = -d**3 + 7 + d**2 - d**2 - 2. Let k be t(0). Let f be c(k). What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388463123.\nAnswer: 23, 16889701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvxixrvu. What is prob of picking 1 r and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2*o - 15 - 6*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407\/42 + 62\/7. Let l be (-282)\/(-180) + (-4)\/10. Let r = l + h. Which is the second smallest value? (a) -3 (b) 2\/21 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 are the prime factors of 1244864?\nAnswer: 2, 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836152 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007164565 to 6 decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Suppose -4*w + 8*w - 2*v - 6 = i, 2*w = 3*v - 3. Suppose w*m - 67 = -2*y, -6*y - 76 = -4*m - 2*y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let p(n) = -12*n**2. Calculate p(l(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/144 - -1*((-280)\/(-180))\/(-7)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -23. Let z(h) = -h**3 + h. Let p(j) = -9*j**2 - j - 4. Let f(t) = w*z(t) - p(t). Let g be f(-9). Solve 6*y + 8 = g*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*o - 32 = -4*t + 1632*o, -o - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 3, r: 5, d: 5, k: 5, h: 1}. Give prob of sequence kd.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (6 - 3) - (-4 - (5 + -3) - 0).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 3. Let q = 3 - -4. Let n be i(q). Is ((-25)\/n)\/(2\/212) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137522, 275137, 412842, 550637, 688522?\nAnswer: 826497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtinrritnn. What is prob of picking 1 i, 1 r, and 2 t?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2404 - 2404 - 44*n + (-3 - n + 3)*(2 + 1 - 2))*(-2*n + 14*n - n).\nAnswer: -495*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let d(a) be the first derivative of 16\/3*a**3 - 3*a + 0*a**2 - 3. Let r(l) = -32*l**2 + 5. Let i(g) = 5*d(g) + 3*r(g). Determine o(i(p)).\nAnswer: -512*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 25*u**2 + 163*u - 33. Let h be z(12). Solve -243*g = -260*g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -276120, -552225, -828330, -1104435, -1380540?\n\"Answer: -276105*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*r + 2296, 0 = t + 2*t + 4*r - 6896. What is the derivative of -2274 + 7*h + t - 30*h wrt h?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 5*v + 1. Let a = -7 + 14. Suppose a*f - 2*f - 25 = 0. Determine s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11944425 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -42.03?\nAnswer: 0.4203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1122 = -321. Suppose -2*o + 5*o - a = 0. What is o rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43560 (base 10) to base 16.\nAnswer: aa28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2444 divide 185292560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12680 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.8 - 12.7. Let q = 0.1 - x. Let o = -0.5 - -0.2. Which is the second biggest value? (a) o (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*l + 5*r, 0 = l - r - r - 8. Let b be -8 + (8 - l) - -7. What is the highest common divisor of b and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - (6 - (-4 - -8)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44783649 < 44783649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 48. List the prime factors of 5\/15*t*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7177, 14350, 21523, 28696?\n\"Answer: 7173*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/720*r**6 + 0*r**3 + 0*r + 14*r**2 + 0 - 3\/4*r**4 - 1\/60*r**5. Let n(d) be the second derivative of p(d). Give n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -763.9 + 959. Let n = j - 195. Let p = -2.7 - -2.5. What is the closest to -0.1 in -0.4, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*y + 9 = 0, -5*s + 30 = 5*y - 0. Suppose -3 = -2*c + s. Let r be (c + 0)*3\/6. Solve 0*z = -z - r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*s = 26, 12*u - 16*u + 4*s = 16 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*a. Suppose 0*g - 5*g - n = -355, a*n + 87 = g. Let v be ((-24)\/(-15))\/(2\/10). What is the greatest common factor of v and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 0 + 1.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.06. Let g = -12718\/3884985 + 8\/1885. Let j = g + -1376\/2061. What is the smallest value in j, o, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 5*l + 3. Let h be j(-5). Suppose h*o = i + 2*i + 18, 3*o - 20 = i. What is the greatest common divisor of o and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -22. Let z be 13 + b + 3*1. Solve 6*f - 2*f - 28 = -z*t, 0 = 4*t - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1327)\/(-25) + -2 + (-116)\/1450.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031109 rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + a + 1. Let q be (-20)\/(-16)*-1*4 + 511. Let i = -507 + q. Calculate y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/87803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.26, -7, -2\/9, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g + 42*g - 98*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/3 + 215*x**4 + 643*x**3\/3 - 215*x**2 - 644*x\/3 = 0?\nAnswer: -644, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 + 19*x\/5 - 34\/5.\nAnswer: -(x - 17)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*w**3 + 76*w**3 - 2175*w**2 + 2192*w**2.\nAnswer: -2*w**3 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016467 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -675750 (base 11) to base 6\nAnswer: -35023034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2826547 + -175?\nAnswer: -2826722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 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: How many minutes are there between 9:09 AM and 11:41 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from dyzdzr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 66?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 547?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 1 + 1)*(-11*x + 14*x + 4 - 16).\nAnswer: 12*x**4 - 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*n - 2*h - 6, -4*n - 2*h - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(((sqrt(245) + 1)*-2*-5)**2 - 4*((-4*sqrt(245) - sqrt(245) - sqrt(245)) + 0)**2).\nAnswer: -2800*sqrt(5) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 12 - 3 = 0. Suppose 4*c + 6*c**2 + o + 3*c**4 - 2*c**4 + 6*c**3 - 2*c**3 = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 5:10 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 8*a - 4. Let u = 0 + 9. Suppose 5*z + 44 - u = 0. What are the prime factors of l(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 262. Let a be d(0). Suppose -3*s + 780 = f - a, 2*s - 697 = -3*f. Is s 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 {v: 10, s: 10}. Give prob of picking 3 s.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((-229)\/89768).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(-6*v**2 + 3*v**2 + 5*v**2) + 0*v**2 - 2*v**2 + v**2 - 451 - 448 + 98*v**2 - 3*v + 901.\nAnswer: 99*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 219\/(-7) - 2\/(-7). Let i = -18 - c. Let v = -7 - -10. Solve -3*q + q - 2*k + 12 = 0, -i = 2*q - v*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzsz when four letters picked without replacement from {z: 3, s: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u**3 - 22*u**3 + 46*u**3.\nAnswer: 56*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 297 - 173. Let d = q - 36. Let o = d - 88.142. Round o to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2 - -3)*1. Put -2, p, 4 in decreasing order.\nAnswer: 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/204225300 and -203\/23647140.\nAnswer: 2246478300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11868*o + 12220*o - 24118*o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527364323 to the power of 1\/3, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roorrrorrorrrcoc. Give prob of picking 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 29 - 9. Let w = 1 - 0. What is the second smallest value in r, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h + 11*h - 28*h)*(20 - 4 + 19)*(1 - 1 - 2*h).\nAnswer: 2380*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 35*-1)\/((-4375)\/(-875))\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 11) to base 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 - 2183*u**2 - 11386652*u.\nAnswer: u*(u + 2122)*(3*u - 10732)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Let y = -9 - d. Which is the second biggest value? (a) y (b) -3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/14)\/((h\/h**(6\/13))\/h))\/((h**(-6)\/h)\/(h\/((h\/(h*h**(5\/2)*h))\/h*h))) assuming h is positive.\nAnswer: h**(1069\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 721\/309*45\/(-175).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12776 = 3*y, -4*y + 17040 = -8*g + 4*g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -45. Solve -l = w + 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -1, 2 in increasing order.\nAnswer: -1, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.43 + -11.05. Let h = 11 + w. Let z = 0.5 + h. Round z to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 118. Which is the second biggest value? (a) 0.3 (b) 7\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*sqrt(520)\/(sqrt(20)\/sqrt(2)))\/(sqrt(196) + (sqrt(196) - sqrt(196)*-1*3) + sqrt(196)).\nAnswer: -4*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and 0.59.\nAnswer: 49.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*m + 19868, -12*n - 3*m = -11*n - 4951. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*f = 24, -83*f + 52 = 2*i - 78*f. Calculate the least common multiple of 24 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:06 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 139 - 679. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527700253 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 4 = 4*c. Suppose -19*x + 348 = -c*x. Let m = x - 37. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 24 - 1\/6*z**3 + 1\/8*z**4 - 1\/4*z**2 + 1\/2*z. Factor d(g).\nAnswer: (g - 1)**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 - -2.48. Let y = i - 2.3. Let p = y + 0.1. Which is the third smallest value? (a) p (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 123*(-1 + 3). Let f = h + -245. Solve -2*s + 4*s = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -840258, -840235, -840212, -840189, -840166?\nAnswer: -840143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 3, g: 4, t: 2, m: 2}. What is prob of picking 1 m and 1 e?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 15*s - 127. Give m(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or 21167?\nAnswer: 21167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002017988 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 9 = 1. Put 1\/7, p, -4 in decreasing order.\nAnswer: p, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 = 5*p + 5, 3*p - 1 = -5*h. Let r = p + 4. Let z = -527 - -526.6. Put 0.1, z, r in decreasing order.\nAnswer: r, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*r - 3*m - 2*m, -5*m = r - 12. Let h = 2.51 - 7.51. What is the fourth smallest value in 0.2, r, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5678 + 0.3678. Put -34, r, 3\/7, 5, 0 in ascending order.\nAnswer: -34, r, 0, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -485.\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) -0.5 (c) 1\/2 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60599, 242433, 545487, 969761, 1515255, 2181969?\nAnswer: 2969903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -118. Let p be (f + (-25)\/7)*(-14)\/2. Let o(u) = -3*u + 17. Let l(r) = 6 + 3*r - r - 3*r. Give p*o(x) - 11*l(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) - -2*sqrt(1152))\/(sqrt(10)\/(sqrt(5)*-1)))\/(1*4*sqrt(200)*3).\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10*((-36)\/8)\/9. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/80*6)\/9)\/(1\/(-3))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 20. Suppose u = 4*z + z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/3 + 38\/(-12)*3. Is -8 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77436 and 765756.\nAnswer: 6891804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11)*-1 + 8\/44. Solve j = 10*i - 5*i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 33*p + 175. Does 57 divide q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 3.\nAnswer: 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 + 6*q + 10. Let v be n(7). Suppose 2 = -2*j + v*j. Calculate the greatest common divisor of j and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -26*i**3 - i**2 - 3*i**2 + 27*i**3. What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8411 and 0.32.\nAnswer: 0.589152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97373 - 97383.5734. Round l to two dps.\nAnswer: -10.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 590*u + 31. Is s(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682024, 2728084, 6138184, 10912324, 17050504?\nAnswer: 24552724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 90*o**2 + 300*o + 3382. Determine l(-87).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 25, 5*c + 3*x - 1045 = 4*x. Let q be (-78)\/9 + 4\/6. Does 16 divide (q\/16)\/((-1)\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -57*d - 87*d + 388. Solve -2*o + 4 = 3*z + 12, 0 = d*o + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 421\/441 - -24\/49. Let q = 2\/13811 - -206831\/2306437. Let i = -13711\/1670 - q. Calculate the common denominator of i and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 1253*y - 2 - 416*y + 5*y**2.\nAnswer: 2*y**2 + 837*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/3*-6778 - -2. Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16505, -16497, -16489, -16481?\nAnswer: -16473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 772 = 3*r. What is the highest common divisor of r and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014837 is divided by 1265.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3466, -4374, -5282, -6190, -7098?\n\"Answer: -908*m - 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002071 is divided by 28198.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:26 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93307*u - 86801 wrt u.\nAnswer: 93307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1181 - -1181.0527. What is b rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 52. Let u be d(-21). Differentiate 230 - 88 - u + i**2 - 39*i**3 wrt i.\nAnswer: -117*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141 (base 5) in base 7?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 104*w**2. Let u(c) = 3*c. Give j(u(t)).\nAnswer: 936*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/2 - 4*x**3\/3 + 5*x**2\/2 - 7*x + 80. What are the prime factors of y(5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-34)*9\/(-36)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37573867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -78*(32\/(-6))\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-2*a + 3*a + a) - 77170*a - 77175*a + 628 + 154351*a to h + r*a and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a gram in milligrams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*p + 2122*p - 1091*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 8\/4 + 1. Let c(h) be the second derivative of 0*h**2 + 1\/4*h**4 + 0*h**b + 5*h + 0. Determine c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1349602563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.74 plus -0.085?\nAnswer: 262.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97908 by -6.\nAnswer: 16318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 6. Let y be j(-5). Let b(c) be the third derivative of -1\/6*c**4 + c**3 + 1\/60*c**5 + 0*c - c**2 + 0. Calculate b(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113683, 113732, 113781?\nAnswer: 113830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let q(n) = 14000*n - 1 - 7006*n - 6989*n. Suppose 2*k = -2*k - 44. Give k*y(j) - 4*q(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.3. Let f = -6 + 3.8. Let t = -0.2 - f. Which is the closest to 0.2? (a) -2\/7 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0417722 take away 1190344?\nAnswer: -1190344.0417722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 202*a**3 + 13*a + 13. Let v(f) = 101*f**3 + 6*f + 6. Calculate 6*o(w) - 13*v(w).\nAnswer: -101*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 1152\/(-196))*(-8 - -1)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/9? (a) 3 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115431487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (476\/(-272))\/((-2)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 10*u + 1. Let j(i) = i + 1. Let x(z) = a(z) - j(z). Let h(c) = 2*c**2 + 2. Let v(l) = -l**2 + 1. Let y(g) = -h(g) + 2*v(g). Calculate x(y(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5373.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -23, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0 - 9. Suppose -g - a*g = 4*i - 4, i + 2 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r - 14. Solve 4*d = -4*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {r: 8, f: 3, b: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(176)*2)\/sqrt(8))\/((sqrt(10)*2)\/sqrt(5)))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-3 - -5) + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -4. Let i = j - -28. Suppose i = 3*y + y, -21 = -5*n - 2*y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - i + i + (i + 2 - 2)*(-63 + 63 + 5*i + i**2).\nAnswer: 3*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:38 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42511 is divided by 11908?\nAnswer: 6787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 801*k + 1895*k - 168*k - 14958 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 30 + 6*m**2 - 4*m**2 to p + o*m + t*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 + 2 = 0, 22 = -5*f + 2*l. Which is the nearest to -0.1? (a) f (b) 1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6767*b - 3389*b - 3381*b - 141 = 0 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61841 and 16013.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185738723 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*h**5 - 26*h**5 - 34*h**5 - 10*h**2 wrt h?\nAnswer: 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163636161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*5\/2. Suppose -3*u = 3*v - 99, -s*u + 161 = -3*v - 4. Solve u*m**3 - 6 - 9 + 3 - 6*m**4 + 48*m - 63*m**2 = 0 for m.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 - 3*g**3 - g**2 + 0*g**2 + 4*g**2 as p + u*g**3 + z*g**2 + h*g and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991?\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/23508 and 61\/90.\nAnswer: 117540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 - 5b?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-130)\/(-30))\/((-8)\/(-24)). Put 0.1, 0, o in decreasing order.\nAnswer: o, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, q: 1, a: 5, l: 2, w: 1, o: 2}. Give prob of sequence lqoo.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 5092735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 18, w: 2}. Give prob of sequence xxxx.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1060 - -6464?\nAnswer: 7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(510\/(-9)))\/(9\/72*-6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 10*g**2 + 2*g**2 - 83*g**3.\nAnswer: -83*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20393, 40839, 61283, 81725, 102165, 122603?\n\"Answer: -z**2 + 20449*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 950\/8817 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**2\/2 - 19. Let h(m) = -2*m + 1 - 2*m + 3*m + 5*m. Determine -h(l) + 6*p(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -24. Let b = 21 + h. Solve 2*s + 2*y - 4 = -b*s, 2*y - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 23*u**2 + 24*u + 47. Determine k(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 22 = 0. Let a(j) = -j**3 - 11*j**2 - 9*j - 2*j + 2 + 3. Let y be a(-10). Solve -5*h - 5*u - 31 = -o, 2*h - 5*u + y = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -253122 - -1?\nAnswer: -253121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10082*f**3 - 10086*f**3 + 530 - 530.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 16*o - 84. Let y be a(14). Let l = 307 - y. What is the remainder when l is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (((sqrt(117)*-1 + sqrt(117) - sqrt(117)) + sqrt(117) - sqrt(117)) + sqrt(117)))\/sqrt(9) + -4*sqrt(1872))**2.\nAnswer: 28717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -423 - 153. Let d(n) = -n**3 + 4*n + 3. Let q be d(-3). What is the greatest common divisor of q and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 10*q - 8. Let m be (-11)\/3*(13 - 10). Let p be s(m). Let a = 0.1 + 0.4. What is the second biggest value in a, -0.1, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7ec05 (base 15) to base 4\nAnswer: 1202231222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(45))*3 + (sqrt(500) + 1 - (1 + sqrt(5)*2)).\nAnswer: -5 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -9*m + 16*m. Let t(j) be the first derivative of 0*j**4 - 1\/3*j**m + 0*j + 0*j**2 + 2\/3*j**3 + 1 + 0*j**5. Find the third derivative of t(h) wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -42. Suppose 188 = 3*r + r. What is the remainder when r is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 242703 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(117).\nAnswer: -9*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3429, -6865, -10301, -13737, -17173, -20609?\n\"Answer: -3436*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 7*a + 2*a)*(2 - 1 - 2)*(116 - 590 + 210) to g + i*a and give i.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1834 + -1727. Solve x = k + 104 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 4*q - 14, 26 = 3*m - 5*q. Suppose l = -l + m. Are -0.3 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k + 1. Let t(n) = 2*n**2 + n + 2. Suppose -4*b - u = 149, -b - 188 = 4*b + 3*u. Let d = b - -44. Let l(c) = d*p(c) - 3*t(c). Give l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9138839 divided by 4.\nAnswer: -9138839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -26*n + 330 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3373*k**4\/12 - 163*k**3\/6 - 469*k + 4. Find the second derivative of a(b) wrt b.\nAnswer: 6746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 9. Let v be g(7). Suppose 3*r + v*f = 666, -2*r - 5*f + 280 = -153. Suppose 0*b + r = 7*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 1450.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by 2?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.02 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvvmmmmmvvmv. What is prob of picking 4 v?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000714243 to 6 decimal places.\nAnswer: 0.000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x*x)**(-9)*(x**6)**15)**18 assuming x is positive.\nAnswer: x**2106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:12 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 33*q - 231, -p - 53 = -9531*q + 9526*q for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72572 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {y: 1, k: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*t - 1495*i**2*t - 32*i**2 + 1429*i*t + 164*t wrt i.\nAnswer: 12*i*t - 2990*t - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.45221mm to micrometers.\nAnswer: 17452.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -83940*a + 26. Let k(r) = 33575*r - 10. Calculate 5*c(v) + 13*k(v).\nAnswer: 16775*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 5. Let u(p) = 4*p + 14. Let t(q) = 15*q + 56. Let b(c) = 2*t(c) - 9*u(c). Give -6*b(i) - 17*z(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3780)\/49 - -13) + 272\/238?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**3 - 17*y**2 + 12*y - 5. What is q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/19)*r**40)**(-2\/25) assuming r is positive.\nAnswer: r**(-1522\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 954, 0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 2 - -3) + 68 - (-13 - (-18 + 1))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5347251ns in days?\nAnswer: 0.00000000000021452228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1160)\/560 + (-990)\/(-630)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009286 is divided by 326?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 7*x**2 - 2*x**2 - 5*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 33 + -10 + -11 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - (26 + -33)) + (3 - (4 + -5 - -4)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -9. Suppose -2*d + 6*d = 192. Suppose n + 2*n = d. Solve 3*s + n = -5*m, m = -3*s + p*s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20 - -16)\/(32\/(-40)). What is the greatest common divisor of s and 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/(1254\/(-95) + 15)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -92. Suppose 28 = -d + m. Find the second derivative of -30*w**5 + 12*w**5 + 19*w**5 + d*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 8*l**2 - 58*l - 48.\nAnswer: 2*(l - 8)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 - 5*t + 4. What is the least common multiple of 10 and m(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2. Suppose -10*r + 42720 = -7*r. Suppose -5*s - r = -2*p, 2*s - 7129 = -5*p + 4*p. Let h(d) = -p*d - 16*d**2 + 7125*d. Determine h(l(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -31.56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9*l - 8*l = -17430, -2*l + 29039 = 5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/63 and -14\/80271.\nAnswer: 561897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z - 2, -2*j - 27 = -z. Let v = j + 27. Suppose 5*x - v = x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20877739 is divided by 9169?\nAnswer: 9095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -23*y**2 - 50*y - 292. Let n(i) = -13*i**2 - 25*i - 145. Let x(b) = 4*d(b) - 7*n(b). Calculate x(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*-6*1\/(-9). Let g = p - 2. Suppose 4*c = 2*o + g, 5*c + 2 = -3*o + 26. What is the remainder when 6 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 113357*l**2\/7 + 477091953*l + 7136176035915\/7.\nAnswer: (l + 2315)*(l + 55521)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) + -6 + -1. Let t(c) = -3*c**2 + 2*c + 2. Let y be 6 - (100\/(-5))\/(-5). Let o be t(y). Which is greater: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, -40, -191, -438, -781?\n\"Answer: -48*m**2 + 89*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 - 2*j**2)*(j + j - 3*j) - 39 + 39 - 18*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {f: 1, i: 1, s: 12, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 33*t**2 - t + 10. Let a be c(-10). Let g = a - 1769. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2660 = -11*f. Let o = 559 + f. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 160. Let i be 3790\/14 + -1 + 38\/133. Let n = i + -270. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 1\/1279, 22?\nAnswer: 1\/1279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 14*a = -10. Suppose -20*j - 22 = -2*q - 16*j, a*j = 5*q - 95. Solve -q = 5*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34130783*i*v**4 - i*v + 174*i - 986*v - 5 wrt v?\nAnswer: -409569396*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/276)\/(-2 + 5)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0993 + 0.0007. What is the nearest to 1 in -0.02, -0.3, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/(k**(-11)\/k))\/((k**(-3\/4)\/k)\/k)**20 assuming k is positive.\nAnswer: k**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8779 and 28.29.\nAnswer: 25.4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 13 = 97. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*-31348.\nAnswer: 1003136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 473 divided by 222582.\nAnswer: 473\/222582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d + 21. Is u(-26) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 202.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4310 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*c - 44, v + 25 = 6*v - c. Let o(b) = -2*b**3 - 5*b**2 + 2*b + 19. What is the remainder when o(-3) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 + 0*v**3 - v + 53 + 46 - 18*v**2 + v**3 as s*v**2 + n*v + m*v**3 + x and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.083241.\nAnswer: -0.332964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2000 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 303*q**2 - 619*q - 4978. What is a(-301)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 658*j + 25 = -663*j, 2*o - 10 = 2*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7073 + 2*o**4 - 19*o**2 - 1382*o**3 + 7103 + 138*o**3 wrt o.\nAnswer: 48*o - 7464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose 5*y - r*j = 2, 0*j - 3*j + 5 = 2*y. Let s be (-8244)\/(-6)*y\/(3 - 0). Round s to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4 - 22623\/(-4404). Let o = q + -1523302\/317455. Let c = -2\/173 - o. Which is smaller: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8613077 and 0.5.\nAnswer: 8613077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 144*c + 611. What is the smallest common multiple of f(-140) and 1578?\nAnswer: 26826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-375)\/(225\/(-9)))\/(6\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1140.5 + -69.10172\nAnswer: 1071.39828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480386 is divided by 480173?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 13*h**2 - 30 + 45.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14840 divided by 40\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/((-2530)\/(-495) + 30\/(-27)). Factor 3\/4*q**2 + 6*q + k.\nAnswer: 3*(q + 2)*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*x**2 - 2 + 3 + 618*x - 618*x as g*x**2 + v + f*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*b + 124, 3*d + 169*b = 174*b + 106. Calculate the remainder when 3612 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*p + 11. Let j(i) = -i**2 + 2*i + 8. Let w be j(4). Suppose 5*g - 12 + p = w. Which is smaller: -3\/38 or g?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58712 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 13. Determine z(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*o = 0, -9*i - 2*o = -4*i. Sort i, -4, -264 in ascending order.\nAnswer: -264, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (1 - (-15 + 7 - -13))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 + 380*r**2 + 124*r - 37. What is f(127)?\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -1\/3, 1, -0.2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36122074 or 36122071?\nAnswer: 36122074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(147) + 1*sqrt(147) + 4)**2.\nAnswer: 112*sqrt(3) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -64, -80, -96, -112, -128?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32988 by 6.\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -4*w - 2, 2*u - 4 = 4*w. Let n = 59 - 54.9. Let j = -4 + n. Which is the nearest to -1? (a) j (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 - 132*r\/7 + 272\/7 = 0. Calculate r.\nAnswer: -68, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31399611 and -4.\nAnswer: -125598444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54154, -216477, -486968, -865627?\nAnswer: -1352454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/7)\/x**(2\/3))**(-5\/4)\/((x**(-1))**(-31)*x**1\/x**0) assuming x is positive.\nAnswer: x**(-2603\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c - 5. Let d(z) = z - 1. Let y(n) = -5*d(n) + q(n). Let h(b) = -8*b. Determine h(y(r)).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00891172177 to 5 dps.\nAnswer: 0.00891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 + 19) - -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -1)**2 - (sqrt(13) - sqrt(91)\/sqrt(28)).\nAnswer: -17*sqrt(13)\/2 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 87420?\nAnswer: 786780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 + 3*g + 5. Suppose -3*m + 8*m + 3*r + 26 = 0, 5*r = -4*m - 26. Let k be z(m). Are k and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -74\/1287?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**7\/399 - n**5\/190 + 12*n. Factor v(f).\nAnswer: 2*f**3*(f - 1)*(f + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10) - (-88)\/(-10). Let f = s - -4. Let r be (-6)\/28 - f\/10. What is the closest to 0 in r, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 - 7*o**4\/6 - 2*o**3 + 8*o**2 - 5*o. What is the remainder when 11 is divided by b(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1411.7152 to the nearest 10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*n + 2 = 0, -5*n = -4*b + 480 - 474 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123577.844823 - 249726.8958375. Let t = k + 126149. Let b = -0.051 - t. What is b rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/13)*k)*k**7)\/(k**(2\/3)*k**30\/k) assuming k is positive.\nAnswer: k**(-878\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551317.\nAnswer: 13, 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 299*x + 168. Determine r(-5).\nAnswer: -1327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-248)\/(-88) + (-4)\/(-22). Let m(k) = 14*k - z + 0 - 2. What is the remainder when m(4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 4, 32, -4, 0, 164 in decreasing order.\nAnswer: 164, 34, 32, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8139 or -1199?\nAnswer: -8139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + o**3 + 5*o + 3 - 4)*(2 - 1 - 2) + 125*o + 66*o**3 - 125*o to the form b*o**2 + g*o**3 + n*o + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -5478 and 1872 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 949997*y - 24. Suppose -b = b + 2. Let g(r) = -r. Let h(l) = b*x(l) + 6*g(l). Let m be h(8). Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.4 (b) 3 (c) 20.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1370919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/170 and -77\/6333428.\nAnswer: 538341380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*x**4 + 14*x**5 - 48*x**2 - 11*x**5 + 9*x**4 wrt x.\nAnswer: 180*x**2 - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124058534 divided by -1.\nAnswer: -124058534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and 135455079834.\nAnswer: 135455079833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -13 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 4*x - 4. Let t(y) = y + 2. Let j be t(2). Let p(s) = s + s - j*s - s**2 - s + 3. Calculate 3*d(r) + 4*p(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/1 - (6 - (-18)\/(-9)). Let y(c) = -5 - s*c + 12*c + 5. Let b(h) be the first derivative of 5*h**2\/2 - 4. Determine y(b(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13664033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 30*q + 32. Let d be g(18). Let y = d + 82. Solve y = -4*n - 5*m, n + 3*m + 0 = 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -65*j + 58. Let q be s(1). Sort 0, 4, -3, q.\nAnswer: q, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*u + 464988, 0 = i - 2 - 1. Suppose 0 = -t + 2*t - u. Round t to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f + 13. Is -2*f\/(-8) + 252 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -0.064, 5?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5494?\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/126512 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*m - 32 + 8, -x + 12 = 4*m. Suppose m*q - 1028 = k, -3*k = -3*q - 8*k + 748. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-24))\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r - 32. Let a be t(4). Suppose a*p - p + 2*k = -1, 5*k - 5 = 0. What is the greatest common divisor of p and 255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Calculate the remainder when (-1 - -1)\/u - -35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-39)*t)\/t*t**41*t)**(-25) assuming t is positive.\nAnswer: t**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/8 (b) 3\/40 (c) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 23*p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1900206 is divided by 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - 47. Let a = 207.3 + g. What is a rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, -25, 378 in descending order.\nAnswer: 378, 8, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71773*f**4*n**3 + 33*f*n**3 - 260*f wrt f?\nAnswer: 861276*f**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 2724*j**2 - 37548*j - 130732.\nAnswer: -4*(j + 7)**2*(j + 667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24683190 minus -29?\nAnswer: -24683161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -371296 divided by 92824\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + n - 7 = 0, 7 + 0 = 3*i + 5*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89535964 or -89535965?\nAnswer: -89535964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142008156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*h + 4*h + 3, 7 = -q - 3*h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + -67.9. Let j = f - -78. Let a = 8.9 + -10. Sort -4, a, j.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/445390 and 54\/44539.\nAnswer: 445390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -15 (c) -880 (d) 2 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 66820544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 172500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((34\/6)\/1)\/(732*(-492)\/(-135054))\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 plus -0.96?\nAnswer: -147.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 3*a - 31 = 0, 3183*a = -3*i + 5*i + 3177*a + 64 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 1, c: 8, g: 4, e: 3}. Give prob of sequence ggce.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001125 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -12, -2, 4 in descending order.\nAnswer: 4, 0.5, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 times -605?\nAnswer: 272250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - 8 = -29*j. Let w(q) = q - 1. Let c(h) = -2*h + 2. Determine j*c(f) - 3*w(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 8. Suppose -2*i - 10 = 0, -4*i = 4*u + 8 + 12. What is s(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, w: 2, m: 1, p: 3, l: 3}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 1, s: 3, i: 1, d: 3, z: 2}. Give prob of picking 1 i, 2 s, and 1 y.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) -1 (c) -1\/4 (d) -48\/5 (e) 0 (f) -974\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/76*17\/(153\/36).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007557 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366705\/12 smaller than 613891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55523476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2518, 2, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 68081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54939.94 times -1.54\nAnswer: -84607.5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653773 = 6508*a - 159165 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m = 5*d + 178, 3*m + 4404*d = 4399*d - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146 - 146 - 10*h**2 to t + f*h + c*h**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 4*r**3 + 13*r**3.\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715166 is divided by 347?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 + 514632*i + 22070507952 = 0.\nAnswer: -85772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 2*c + 2. Let r(o) = o**3 + 6*o**2 - 12*o - 39. Let i be r(-7). Let h(m) = -8*m**3 - 9*m + 9. Determine i*h(b) + 18*f(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365893?\nAnswer: 11, 29, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*m + 12*m + 8 + 24. Factor -7\/3*p**3 - 1\/3*p**4 + 32\/3 - m*p**2 + 32\/3*p.\nAnswer: -(p - 2)*(p + 1)*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/11 and 26\/241.\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24445 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62871?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v + 11*v - 9*v)*(1 - 2 + 4) + (-3*v - 1 + 1)*(4 - 1 - 4).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 - -384. Let v = c - 47. List the prime factors of v.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 at least as big as 1787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, -8, 5?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.67 in -1\/11, -5, 0.1, 0.39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 - -381. Let b(g) = 26*g - 208. Let v be b(i). Suppose 0*z - 1\/5*z**4 - 3\/5*z**3 + v - 2\/5*z**2 = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1603*k + 773. What are the prime factors of p(-18)?\nAnswer: 13, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 175*c**3 + c**2 - c. Let w be q(1). Let z = w - 124. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 685 - 653. What is the remainder when 72 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:01 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -349*z**4\/8 - 1171*z**3\/6 + 2*z**2 - 575*z. What is the derivative of j(p) wrt p?\nAnswer: -1047","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(((-48)\/3520*-33)\/((-24)\/40))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {q: 2, i: 2, z: 8}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.88 - 0.12. Suppose -79*r = 53*r - 1584. What is the third biggest value in -1, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (4 + (11 - (-9 + 16)) + -15)) + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 4.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 2*t**2 + 3. What is u(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95617*d**2 - 31546*d**2 - 31553*d**2 - 32517*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 65990.18 to the nearest one thousand.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/3 - 187058*c**2\/3 + 1122429*c - 5051052 = 0.\nAnswer: -187076, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.95407984 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 826, 1648, 2470, 3292?\n\"Answer: 822*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o**3 + 3*o - 24. Let p(q) = q**3 - q + 1. Let h(v) = -k(v) - 3*p(v). Differentiate h(r) with respect to r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**2 + 4 - 4)*(3 - 4 - 2) - 2*i + 2*i - 2*i**2 + (-i - 3*i - 3*i)*(-1 - 6*i + 1)*(-1 + 0 - 1)*(1 - 2 + 0) in the form m + y*i**2 + g*i and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -21434214?\nAnswer: -21434333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -775345, 729, 3 in ascending order.\nAnswer: -775345, 3, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -16\/5 (b) -371 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -9*t + 16. Suppose -3*l - t*c + 529 = -7*c, 5*c = -5*l + 935. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a**6*(a**1)**(-21) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2))\/((-9)\/9). Let f be 17\/((-17)\/6) + 1 + o. Let l(m) = m + 10. Let j be l(f). Solve 0 = -0*q - q + j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759392263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k - 166*k = -80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 8*v - 58*v. Sort -41, 0.7, v, -1 in descending order.\nAnswer: 0.7, v, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*p**2 - 1051*p**3 + 1046*p**3 + 7*p**2 to the form g*p + y*p**3 + l*p**2 + k and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/90*60\/336?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**4\/6 + 1274*r**2. Let a(g) = -3*g**2 + 109*g. Determine a(x(t)).\nAnswer: -48*t**2 + 436*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o**4 + 3*o**4 - 4*o**4)*(6 - 4 + 7).\nAnswer: 207*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 4201.\nAnswer: -6\/4201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/10485 and 93\/37280?\nAnswer: 335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26069.3, -24\/13, -4, -0.5?\nAnswer: 26069.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 0*m**3 + 2*m**3 + (2*m - 3*m + 2*m)*(0*m**2 - 2*m**2 + 4*m**2) - 3 + 2*m**3 + 3 - 3*m**2 - m**3 + 3*m**2 + 132*m**3 + 91*m**3 - 36*m**3.\nAnswer: 192*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r\/r**4)**(-38)\/((r*r**8)\/(r**(-2)*r*r))**(4\/21) assuming r is positive.\nAnswer: r**(-1342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -12 - 73. Solve -4*t - 9 + x = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9516 and -23\/78?\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -3, 0, 87, -1, -5, -2 in ascending order.\nAnswer: -5, -3, -2, -1, 0, 61, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 28*l = -68*l + 390. Solve 7 = -4*p + 7*p - l*o, 0 = -3*p + 2*o + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6610252\/9 and 734471 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*4)**2 - sqrt(17)) + -1 + (-2 + -1 + sqrt(17))**2 - (5*(sqrt(153)\/(sqrt(9)*2) + sqrt(17))*5)**2.\nAnswer: -94437\/4 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3240*u = 3241*u + 26*h - 15, 0 = 4*u - 2*h + 46 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 106. Which is the second biggest value? (a) -12.9 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5. Let p be c(3). Let n(t) = t**2 + 5*t + 1. Let x be n(-2). Let h = x + p. Which is bigger: h or -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 64*f**2 - 73*f + 100. List the prime factors of p(62).\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/(-4))\/((-72)\/(-16)). Let w = t - -37\/30. Let b = 1 + -3. What is the biggest value in w, b, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-16380)*-5*12\/((-6)\/(-2))\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 18 - 6. Suppose 3*r - 51 = -z + 73, 0 = -5*r - 5*z + 220. Suppose 8*p = u*p - r. Solve -5*w + 4*i = -p, 4*w + w + 5*i = -35 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3, -3*g + 21*w + 13530 = 18*w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + 107. Suppose 5*j + u = y, j = -u + 2*u + 52. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(350)*-1*-4)\/sqrt(10))\/((sqrt(28) + sqrt(56)\/(1*sqrt(2)))\/sqrt(4)).\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - w**4\/24 + w**3\/3 - 32*w**2. Determine q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 89 (c) 1\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + d = -2*n + 3797, -n - 4*d = -938. Suppose -x = 5*w - 4*x - n, -4*w + 733 = 3*x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 166\/(-12)*-2 + (-53)\/(-159). Suppose 0 = 2*c - m + 12. Let q(h) = 2*h**3 - 7*h**2 + 2*h - 9. Is q(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347787 greater than 5347792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15119320 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1259 in increasing order.\nAnswer: 1, 2, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*-44.43\nAnswer: 44.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3 + 2 + 520*y - 4 + 240*y. Is v(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 14. Let x = 9 - -10. What is the highest common factor of x and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1415.16 + -1414. What is h rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 79 - 212 + 70 + 2*d**2 + 73. What is t(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-6)\/4)\/(40\/(-400)). Let q be (s\/20)\/(330\/(-32)). Let x(a) = a**2 - 39*a + 171. Let c be x(34). Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2178 - 1.7178. Let y = -2 - -3. What is the closest to y in 0.01, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 33. Let u be p(11). Suppose 3 + u = 5*b. What is the lowest common multiple of 49 and b?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 5 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3\/5, 5\/2, 2\/7, -872?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5044 and 4850?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 8*y - 6. Suppose 0 = -13*g + 8*g + 80. Calculate the least common multiple of h(-4) and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x + 20, -4*i = -3*x + 31. Let h be (-48)\/18 - i\/6. Let u be (-90)\/(-24) - h\/8. Solve u*f + 20 = 9*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36121 - 4694*l - 36121 + 6*l - 4*l - 3*l + l + 4 - 4 + (-3*l + 2*l - l)*(-3 + 0 + 2) to g*l + h and give g.\nAnswer: -4692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 + -198. Solve -s*q = 5*q - 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:14 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*y - 74, 4*y = -4*w + 22 + 34 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - 127. Calculate the lowest common multiple of h and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.2956 rounded to one dp?\nAnswer: 70.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12120 (base 3) to base 15\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -11*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1437967ml in litres?\nAnswer: 0.0001437967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 6*o**5\/5 - 224*o**4 + 50538*o**3\/5 - 98216*o**2 + 714456*o\/5 - 54560 = 0.\nAnswer: 2\/3, 1, 11, 50, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -217. Let r = -53 - n. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-4*o + 82 + 123 - 168) in the form t + b*o and give t.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2059791 to the power of 1\/2, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108801?\nAnswer: 3, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18804*v - 6 = 2*d - 18803*v, d - 8 = 5*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-20))\/(1\/4). Let c = -140.124 + 140. Let d = -0.324 - c. What is the closest to d in -4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q + 42*q = 3. What is the third derivative of -158 + 34*i**q + 69*i**3 - 9*i**2 + 169 - i**2 wrt i?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 + 2*w - 2)*(-5*w + 4*w - 10*w) to the form l*w**2 + k*w + q and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212647 and 631.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70156?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 299744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 299262 + 299610 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.3. Let n(k) = k**2 - 5*k + 3. Let i be n(2). Let q be 1\/(-5)*5\/i. Which is the second smallest value? (a) 3\/4 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.247 (b) 25 (c) -5 (d) -0.2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2052*n + 4. Let x be t(-3). Suppose 5*s = -5*m + x, -3*m = 4*s - 397 - 4531. Let a = s + -591. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 29081 = u, 130*b - 3 = 129*b. What are the prime factors of u?\nAnswer: 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 312.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8693493380.92 and -0.4.\nAnswer: 8693493380.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hchhwwk. What is prob of picking 1 h and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -122202 (base 3) in base 9?\nAnswer: -582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -543.\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806, 1255, 1682, 2081, 2446, 2771?\nAnswer: 3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-30)\/(-5) + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1085462 to four decimal places.\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 3)\/3 - -18. Do w and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*((14*i + 3*i - 6*i)*(0 - 1 + 0) - i - 2*i + 2*i) in the form d*i + p and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -666477 (base 8) to base 13\nAnswer: -7b2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3 - 22. Suppose 151 = h*f + 16. What is the third derivative of -4*x**5 + f*x**2 - 13*x**2 - 5*x**2 wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -0.12, 34, -1\/33, -3\/2 in ascending order.\nAnswer: -3\/2, -0.12, -1\/33, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l - 84. Let a = 30 - l. Suppose -2*s + 69 = z, 0 = -5*z + a*s + 3*s + 405. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(-1 + -1 + sqrt(171)*-2 + sqrt(171)).\nAnswer: -54*sqrt(19) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h + 4*o - 6, -3 = -2*h - 3*o. Let q be h + 2 + -5 + 2. Let p = q - 3. Let r(w) = 2*w**3 - 3*w**2 + w + 1. Give r(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7832 (base 10) to base 11.\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*a - 2*v - v, -a = -5*v - 20. Let d(i) be the third derivative of 0*i**4 + i**2 + a*i**3 + 0 + 1\/210*i**5 + 0*i. Factor d(z).\nAnswer: 2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 63 = -4*h, 2*h = 2*t + 26. Let i(s) = -s**3 - 12*s**2 - 11*s + 8. Let y be i(t). Solve 0 = -3*w - 4*d + y, 0 = -3*w - 3*d - 2*d + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 13. Let p be v(-6). Let t be p\/(-4) + (-2705)\/(-20). Suppose 213 + t = 3*z. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 34488.\nAnswer: 2034792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -134a672 - 6?\nAnswer: -134a678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -66 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1905\/140970 - 12425\/(-518).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 11*h**2 + 6*h + 16. What is the units digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -2. Let x(m) = 0*m + 13*m + 10 + m**2 + 12*m**2. Let s(f) = 7 + 11*f**2 - 7*f**2 + 9*f + 5*f**2. Calculate b*s(l) - 5*x(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 0.4, 5 in decreasing order.\nAnswer: 5, 0.5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85305\/105 - -3 - (-3)\/(-7).\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 14 - 29. Solve 4*f + 2*b + b = -23, 13 = f - l*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967238 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017645 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -35, -46, -49, -38, -7, 50?\n\"Answer: j**3 - 5*j**2 - 5*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 85*z - 246. Let k be y(3). What is the nearest to -1\/2 in -5, k, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073 in 2\/5, -56, -4, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/81552?\nAnswer: -5\/81552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 24, 32?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.052 in 4, 15, 2709, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**2 + 131*m + 54. Calculate s(-10).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 772634808071 + 1389\nAnswer: 772634809460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7382637 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(280\/(-46634))*(-45 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 6*m**2 - 8*m + 6. Let s be x(7). Let i(l) = -19*l - 1. Calculate the least common multiple of i(s) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/182, -2, 0.4?\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -439008*d - 8. Let p(q) = -q**3 - 3*q**2 - 4*q - 13. Let h be p(-3). Let g be l(h). What is g rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 50 + (0 - 0) + 3 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111022 - -10202202000?\nAnswer: 10202020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 8*k + 4*o - 18 = 0, -3*o = -15. Let r be -5*2\/4*k. Solve -m - 1 = -r*q - 20, -5*q - 4*m + 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8064006816 plus -20?\nAnswer: -8064006836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154427 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1851, 3346, 5829, 9294, 13735, 19146?\n\"Answer: -c**3 + 500*c**2 + 2*c + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -67*u**5\/4 - 47654*u**4 - 572363*u**3\/2 - 432240*u**2 - 25551*u\/4 = 0?\nAnswer: -2839, -3, -1\/67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 146587 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 999*y**2 - 20979*y + 8. Determine o(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x + 16*x + 88*x**4 + 13*x wrt x?\nAnswer: 1056*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3920401?\nAnswer: 3920401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 14) to base 7.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*p + 222 = 0, -2*j = -p - 0*p - 148. What is the remainder when j is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 14*k - 524 = -3*p, 3*k - 814 = -p. Calculate the greatest common divisor of k and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -2*w - 3*f, f - 3*f + 789 = 3*w. Does 30 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 104755243.\nAnswer: 104755243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238 and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, -1\/4, 1\/2, -5, -4\/5, 70, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8363.54 litres?\nAnswer: 8363540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, 17, 7.3, -0.2, -16, -2, 1\/11?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + u - 8 - 1, -2*u - 2 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3604.8.\nAnswer: -1802.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-1) + (15 - 26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92191069 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131*l**4 - l**3 + 137*l + 284324.\nAnswer: -524*l**3 - 3*l**2 + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048192 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4230228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m - 4*m - 21 - 3*m + 13*m wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -800 - -1705\/2. Let m = -282\/5 + o. What is the common denominator of m and 101\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/120 + l**5\/4 + 7*l**4\/12 - 3*l**3 - 1969*l**2. What is c(-14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 57*a**2 - 321*a + 110. Does 15 divide j(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.3, 1\/3, -3\/5, 8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2894\/1015 - -86\/29. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 157. Let o be 96\/p - (1 - 4). Let c(n) = 43*n**2 + 2. Let v(l) = -65*l**2 - 3. Let s(t) = -7*c(t) - 5*v(t). Give s(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -13. Let l be 2 + -3 + (7 - c). Suppose 2*k + 96 = 5*o - 2*k, l*o - 4*k = 36. What is the least common multiple of o and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f8 + -3?\nAnswer: f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z + 2. Let i(j) = -23*j - 4. Determine 9*c(m) + 4*i(m).\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7683 times 56?\nAnswer: -430248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from xwpppwwwwwwc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (9 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1. Suppose 4*g + 0*g - 3*h = 2, -4*g + 4*h = -4. Let u(y) = y. Let i(r) = -3*r + 3. Let v(s) = g*i(s) - 2*u(s). Calculate 6*a(t) + 2*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -30*t**3 - 214912*t**2 + 272262*t - 57320 = 0.\nAnswer: -7165, 4\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8261 + -8255.5. What is the nearest to 2 in -2, 11, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/1143 and -139\/90.\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.05912397 + -2.059. Round w to six dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*n**3*p**2*s**2 - n**3*p*s + 6*n**3*s**2 - 2*n**3*s - n**2*p - 12*n*p**2*s wrt s?\nAnswer: 60*n**3*p**2 + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 4 + 3*j**3 + 4*j**2 - 2*j**3 + 6. Let b be l(-3). Suppose 5*f = 5*m - 95, -115 = -b*m + 3*f - 2*f. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 1118.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(76) - (sqrt(76) + (sqrt(76) - (0 + sqrt(76))))*1) + -3)**2 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 f when four letters picked without replacement from ytftyyyfyfyyffffyyt?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rztcb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmggstsdt. What is prob of picking 1 s, 1 p, and 1 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 3*p. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llm when three letters picked without replacement from yamglyrryyyllll.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-8)*1\/2*-1364. Let r = 8165\/6 - u. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -60\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1297238048*z**2\/17 - 101872*z\/17 - 2\/17 = 0. Calculate z.\nAnswer: -1\/25468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - x - 3. Let v be o(-3). Put v, -1, -3 in ascending order.\nAnswer: v, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-848)\/64 - -13 - (225\/364 + 6\/(-39))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 240 - 238. Let i(w) be the third derivative of 11*w**6\/120 + w**4\/12 - w**3\/3 + 3*w**2 + 9. Let n(g) = g**3 - g + 1. Determine f*n(s) + i(s).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - ((7 - 21) + 39 + 55)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 156\/260 - (-3)\/(-5). Solve -b - 2*r = 7, x*b + r = -5*b - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**3 + 11*w + 19. What is i(-2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7329348 centuries in months?\nAnswer: 879.52176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1936206937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -706b (base 14) to base 10\nAnswer: -19303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(-1*sqrt(152)*2 + sqrt(152)))\/((sqrt(1152) - (sqrt(1152) + (1*sqrt(1152) - sqrt(1152)))) + sqrt(200)*-1).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2. Let c be b(0). Let x = -1 + 8. Suppose 11850000 = c*o - x*o. Round o to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-837)\/(-189) + -1 + 4 + -8. Sort 5, -849, r.\nAnswer: -849, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/2 + 3029*x**2\/2 + 2351635*x\/2 + 87165975\/2 = 0. What is x?\nAnswer: -1495, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 4*m**2 - 3*m**2 + (-1 + 2*m**2 + 1)*(85 + 104 - 66).\nAnswer: 245*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18476774119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(76)\/sqrt(4))**2 + (sqrt(209)\/(sqrt(11)*3))**2.\nAnswer: -6*sqrt(19) + 298\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 321 - -21c565?\nAnswer: 21c886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/2 - 77. Let g = -2 + 17. Suppose -5*o = -0*o - g. What is the biggest value in o, 0.1, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 46*z + 532. Give r(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, l: 1, v: 1, p: 1, i: 1}. Give prob of sequence lovi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 15. Does 12 divide 12*25\/10*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195829 = -a + 34171. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 11*v**2 - 3*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - -10 - (-225 + 236) - 36.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 88a370 (base 14) to base 7\nAnswer: 54265000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(18\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6571991ml?\nAnswer: 0.0006571991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-33) + (-1)\/(-3). Suppose 18 = 3*l + l + 2*v, 4*v = -l + 15. Which is the smallest value? (a) -1\/10 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2700600 and 308640?\nAnswer: 10802400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615022 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8915*y**4 + 3673*y**3 - 32684222 wrt y?\nAnswer: -35660*y**3 + 11019*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*h + 3, f + 2333*h - 2328*h - 20 = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**4\/4 + 8*p**3\/3 + 3*p**2\/2 + 19*p + 10. Let k be z(-8). Suppose -4 = h + h. Put 6, k, h in descending order.\nAnswer: 6, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 16*b + 207. Calculate r(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 6*i + 3. Let p be x(6). Suppose -f + 13 = p*k, 0 = 3*k + 4*f + 5 - 21. Does 21 divide 119\/2 - (-2)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207998013 is divided by 3216.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 2. Let u(o) = -9*o - 5. Let s(r) = -5*g(r) - 2*u(r). Let y(w) = -5*w. Determine y(s(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1123 - -2561?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2472093, -4944091, -7416071, -9888027, -12359953?\n\"Answer: f**3 + 3*f**2 - 2472014*f - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(81\/2 - 2). Suppose -9*b + 270 = -4*b. Suppose -r - p + 2 = 0, 2*r - 4*p + 20 - b = 0. Calculate the highest common factor of i and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q + 23. Let s be w(-4). Let a be ((-2)\/s)\/(92*(-2)\/(-24)). Suppose c = -2*c. Is a equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001001100001010 (base 2) in base 9?\nAnswer: 166472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 divided by -106?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2. Let u(q) = -3*q + 3*q - 4*q. Calculate u(j(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 - -394. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -28. Suppose 2*f = 4*x + 12, -15 = 5*f + 5*x - a*x. Solve 5*y - i - 27 = f, 2*y - 2*i - 6 = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + ((-1)\/(-2) - (-17)\/2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306107?\nAnswer: 2306107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687942, 1375823, 2063704?\nAnswer: 2751585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-6 + 7 + 1 + -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 2) + (6 - 4) + -8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12))**(23\/4)\/(g**(2\/11)\/g**(1\/7)) assuming g is positive.\nAnswer: g**(-5316\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 156, 223, 290?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 p when three letters picked without replacement from {e: 3, b: 3, p: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**3 + 9. Let a(r) = 5*r**3 - r**2 - r + 8. Let w(z) = -7*a(z) + 6*s(z). Let y be w(-6). What is the units digit of y\/1 + 5 - -102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -2\/215, 1 in decreasing order.\nAnswer: 1, 0.01, -2\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 15418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*k**2 - 1599 + 4787 - 1606 - 1582.\nAnswer: -296*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4091 is divided by 373?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:33 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -613, -953, -1251, -1513, -1745, -1953, -2143?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764649.\nAnswer: 191, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 2*p - 1. Let h(d) = 3*d**2 + 11*d + 10. Let m(j) = 4*c(j) + h(j). Let o be m(-2). Let x(v) = 3*v + 8. Give x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*(0 + -12)\/3. Suppose -8*w = q*w + 12. Sort 3, -5, w in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28\/5 + 94\/15. Let y(o) = -2*o + 25. Let h be y(12). Is s less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -3*g**7\/35 - g**5\/60 - 21*g**2. What is the third derivative of b(q) wrt q?\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let n = -90521\/30 + 3017. Let y = n - 2\/15. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -5*b + 45. Let h(i) = i**2 + 6*i - 6. Let f be h(-7). Let s(j) = -1 + 0 + f - 3 + j. Let g(o) = -5*o + 13. Determine b*s(p) - 2*g(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13188 and 7065.\nAnswer: 197820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17696?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmccmccmppcccm. What is prob of picking 2 m, 1 p, and 1 c?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -159 + 341 + -97.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 88*b**3 + 402*b**2 - 468*b.\nAnswer: 2*b*(b - 39)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 - 21*d**3 - 12*d**2 + 36*d = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 15, -2\/15, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 168\/20) + 16\/40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3)\/(2\/(-4)). Let q(l) be the first derivative of -l**3\/3 - 2*l**2 + l - 54. What is q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2. Let q(p) = 3*p**2 + 5. Let h(v) = -8*v**2 - 16. Let r(s) = 5*h(s) + 16*q(s). What is r(u(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-78)*2\/(-28)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5474596 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f + 1 + 1 + 0 wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317835867?\nAnswer: 3, 2393, 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -29, 64, 189, 346?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 8. Let b be l(8). Suppose 2*z - z + 9700 = b. What is z rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6817367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/15 - 32*k\/15 - 26\/5.\nAnswer: -2*(k + 3)*(k + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -122700 (base 8) to base 4\nAnswer: -22113000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45\/17 + 63\/34. Let t(b) be the first derivative of -y*b**2 + 10 + 0*b. Determine t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -32\/3, -3\/5 in increasing order.\nAnswer: -32\/3, -3\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37590089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*1*(sqrt(2057)*-2*-3 + sqrt(2057) - sqrt(2057)) + 1 + -4))**2*3.\nAnswer: 9504*sqrt(17) + 3554604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1 + 2 - 5*(sqrt(2) + sqrt(8) + sqrt(2))**2)*5 - (sqrt(1280) - sqrt(1280)*1)\/(sqrt(160) - (sqrt(160) - sqrt(160)*-1 - sqrt(160)) - sqrt(160)).\nAnswer: -790 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155 - 33 - 2176 - 594 = 134*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8\/10)\/((-21492)\/21495 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 14*p - 11. Let f be r(13). Solve 0 - 2 = f*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310239 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: Divide 1800 by -600.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 592\/(-56) + 2 + 3 + 12 + -7. Let o = -47\/18 - -17\/6. Which is the second smallest value? (a) 1\/8 (b) -5 (c) o (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 28780 = -5*t, -6*t = -4*t - 10. Suppose 46045 = -4*v + x. Let b = v + 4271. Round b to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7619801?\nAnswer: 7, 1088543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 625, 944, 1269, 1600?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1728 and 181\/298080.\nAnswer: 596160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/5, 4, 2\/9, -0.3 in ascending order.\nAnswer: -0.3, 2\/9, 4, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19186790?\nAnswer: 2, 5, 7, 67, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17796124 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-j**2 - j**2 + 3*j**2) + (-3 + 1 + 0)*(0*j + 0*j - 3*j**2).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805016454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 7:34 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 12*c + 6. Calculate h(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 57653035\nAnswer: -1\/3391355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 20. Suppose 0 = o + i - 3*i - 2, 5*o + n = -i. What is the units digit of (3\/o)\/((-2)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1112 + -555. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225175, -450340, -675505?\nAnswer: -900670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (-17 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36\/131 or 0?\nAnswer: 36\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078412158?\nAnswer: 2, 2053, 262643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k + 19. Give f(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(55)\/sqrt(11) - sqrt(15)\/(sqrt(15)\/sqrt(5))) + (6*sqrt(50)\/sqrt(5))\/(sqrt(2) - sqrt(32)*-3).\nAnswer: 6*sqrt(5)\/13 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 6:13 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**2\/a)\/a*a))\/a*(a\/((a\/(a**(1\/2)*a))\/a)*a)\/a*a**(-2\/23)*a*a**16 assuming a is positive.\nAnswer: a**(847\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 34 + 156. Let w = 8 + -3. Suppose w*c = 5*h - 565, 0 = 4*h - 2*c - 686 + 238. What is the remainder when h is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 0, 20 = 4*f - 0*j + 3*j. Suppose -1 = -f*y + 4*y - 3*b, b + 3 = 0. Differentiate 7*r - 3*r + 11 - y*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73\/170 + -1\/34. Let m = 92\/17 + 343\/34. Let y = m + -16. Which is bigger: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.1007cm in micrometers?\nAnswer: 2761007","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, b: 1, f: 2}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 7779*m - 7814*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -929, -3, 5, 98 in increasing order.\nAnswer: -929, -3, -1, 4, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -0.8 (c) -5 (d) -1\/5 (e) -4 (f) 8\/655\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h + h**2 - h**2 + 237*h + 53*h**3 - 304*h.\nAnswer: 53*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 244 - 2*q**3 - 7*q**4 - 244 + (-5*q + 4*q**3 + 5*q)*(4*q - 4*q - 2*q) + (-1 + 2*q**2 + 1)*(3 + 2*q**2 - 3).\nAnswer: -11*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 10 = -2*i - 4, -5*i - 4*f = -42. What is the remainder when 23 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -0.05, 2\/3 in increasing order.\nAnswer: -7, -0.05, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 3, 1\/3, 0.1, 32?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 4*k + 5. Let a be b(6). What is the greatest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 72. Suppose -5*p + 0 = -t. Suppose 5*c = 2*w - 51, -3*w + 64 = -5*c - p. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22671.506 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aha when three letters picked without replacement from {u: 2, h: 1, m: 5, k: 2, o: 1, a: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 + -9 + (-46)\/(-2). Suppose -3*c + 4 = 5*x - 12, -3*c = -h*x + 34. Solve -7*z + 2*z = x*r, -5*z = r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 16804 = 4*s, s + 2*v - 2805 = 1396. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 0 + 140491*v - 14.\nAnswer: 140491*v - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36344 and 13629?\nAnswer: 109032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 12 = 0. Let s = n + 1. Suppose 0 = 3*j - j - s. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1968020464197 and -0.16.\nAnswer: 0.0368020464197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, z: 2}. What is prob of picking 3 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 2949999.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.4023 or -0.605?\nAnswer: 1.4023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:22 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1356514, 5425925, 12208276, 21703567, 33911798, 48832969, 66467080?\n\"Answer: 1356470*c**2 + c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 1019 - 1085 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**2 - 12*y + 10 + 6*y**2 + 3*y.\nAnswer: -2*y**2 - 9*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 6, -4.\nAnswer: -208, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.6 in 1\/4, 2\/9, 1, 0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 76, 152, 266, 424, 632, 896?\n\"Answer: u**3 + 10*u**2 + 7*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65763 + -38586. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 23 = 5*b, 4*v = -0*v - 3*b - 24. Let a = 0 + v. Let q be 5\/(-4)*-4*a. Which is smaller: -14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 105\/798*90\/(-75)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61344159 and -0.4.\nAnswer: -24537663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3 + 7. Suppose -3*j - 6 = -j. Calculate the least common multiple of 4 - 6\/(j\/1) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -147, -320, -539, -828, -1211, -1712, -2355?\n\"Answer: -4*g**3 + g**2 - 148*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + 12?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 - 8*h**2 + 42148*h**3 - 42114*h**3 + h**2 to the form g*h**3 + a*h**4 + z*h + y + v*h**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594537 = 5*t + 2*m, 0 = -5*t - 4*m + 3*m + 594541. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d. Let o(q) = -q**3 + 20*q**2 - 11*q - 3. Let c be o(11). Let z(p) = 965 - 4*p**2 - c. Determine z(j(l)).\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -977c - ff?\nAnswer: -987b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 16*k + 10. Let w(u) = -5*u + 2 + 2*u + 3*u + 3*u. Determine -2*b(h) + 11*w(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 79*k**2 - 870*k + 13. Let t be g(11). Let l(b) be the first derivative of 4\/3*b**3 + 4*b + 4*b**t + 6. Let l(a) = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25774, 25746, 25716, 25684?\nAnswer: 25650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5757110 divided by 575711?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 - 5)*(-4 + 5 - 7)*(0*i + 3*i - 2*i) in the form l + a*i and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -82, -118, -174, -256?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.791 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, x: 1, z: 2, i: 1, v: 2}. Give prob of picking 1 q and 2 z.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -6.8. Let w = t + -7.1. Let h be (3*3\/36)\/2. Which is the biggest value? (a) 2\/25 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*i + 4*i**2 - 98*i)*(0*i - i**2 + 0*i) in the form c*i**4 + o*i**3 + b + m*i**2 + x*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155656.\nAnswer: 2, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 63163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*s - 6, -38*d - 40*d + 81*d + 4*s = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 882122733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -131 + 8*f**3 - 3*f**4 + 2*f**2 + 255 - 124 in the form m*f**2 + i*f**4 + q*f**3 + r + l*f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 143*d + 9102. Give x(-64).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + (sqrt(190) - sqrt(190)*-1) - sqrt(190))*-1 - 4*(-3*sqrt(190) + sqrt(190)))\/(sqrt(160)\/sqrt(4) - sqrt(40)\/(sqrt(16)\/sqrt(4))) + 1)*1.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39834 divided by -2.\nAnswer: 19917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:26 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 28.7.\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 73. Let u = -3 - -7. Calculate the remainder when 36 is divided by a - 2\/(-4)*u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n**4 + n**3 - 303*n**2 + 7098*n wrt n.\nAnswer: -72*n**2 + 6*n - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -4*l + 18, 0 = -5*x + l. Suppose 4*o = -0*o - 4. Let u be (-42)\/(-11) + 4\/22. What is the second biggest value in o, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010158 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61094*-4\nAnswer: 244376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -125, 9 in decreasing order.\nAnswer: 255, 9, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 757208603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from zzzzzzmzmm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -467173773*q**3 + 5502*q**2 - 28452?\nAnswer: -2803042638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 13. Let v = m - 31. Is v at most -1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 974444?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/12*(2\/(-4))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**5 - 6822*y**3 - 275*y**2 + 26938*y - 2.\nAnswer: -20*y**3 - 40932*y - 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43312 - -86409. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 114.27822ms?\nAnswer: 0.00003174395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -251*n - 264*n - 338*n + 763*n. Find c, given that 1\/5*c - 1\/5 - 1\/5*c**3 + 1\/5*c**n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1343850372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/6 + 5*u**3\/3 + 9*u**2 + 10*u. Let y be a(-11). Suppose -5*o + 0*o + y = 0. Round o to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 k when three letters picked without replacement from {v: 1, h: 1, w: 4, k: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 1794255.8.\nAnswer: 1794258.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 317130996 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12995, -12994, -12993, -12992, -12991, -12990?\n\"Answer: b - 12996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 16*q**2 + 36*q - 5. What is w(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/9 - 11992*x**2\/9 + 537116*x\/3.\nAnswer: 4*x*(x - 2857)*(x - 141)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: What is the highest common divisor of 3728 and 10741999?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -989 - 15?\nAnswer: -9a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13681690 or -13681689?\nAnswer: -13681690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 15*r**5 - 6*r**2 - 11*r - 6. Let y(l) = l**5 - l**2 - l - 1. Let x(h) = -g(h) + 6*y(h). What is the second derivative of x(z) wrt z?\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -102, -154, -204, -252, -298, -342?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3, p + 2*b = 5*p - 30. Calculate the smallest common multiple of 12 and (-45)\/(-12)*48\/p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 2. Let p be m(-2). Find the third derivative of -5*o**3 + 4*o**3 - 2*o**3 + 5*o**2 + p*o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 20 - (-10 + (-2 - 10) + -28 + 45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 0*v**2 + 27 + 6*v**3 - 30 + 0*v**2. Let p(r) = 13*r**3 + 2*r - 7. What is -7*o(k) + 3*p(k)?\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1596 - -1601. Let r(c) be the first derivative of -2\/9*c**3 + 0*c + 0*c**2 + 2\/15*c**w + 0*c**4 - 14. Factor r(u).\nAnswer: 2*u**2*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1912489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 6. Let m = -0.02562 - -2.02562. What is the closest to o in -0.05, m, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17818.\nAnswer: 2, 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 74?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by -4.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676875617915 minus -6?\nAnswer: -1676875617909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 44*x - 71. Let d(i) = 5*i**2 + 22*i + 35. Let p(b) = 4*c(b) + 7*d(b). What are the prime factors of p(-17)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1250639 or -1250592?\nAnswer: -1250639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16\/5, 4, -1022589?\nAnswer: -1022589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 - 46. Let j be (75 - 12)*(9 - 8). Let l = j - p. Solve 4 = -l*z + 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 27*z - 14 = 0. Differentiate -18 - 20*b**2 - 44 + 44*b**z - 100 + 42*b**2 with respect to b.\nAnswer: 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4370)\/(-23)*(-71)\/(-2698)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900042798 to the nearest integer?\nAnswer: 43589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 201. Let y = -93.06 + m. Let h = y - -1.7. What is h rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-12)*5\/((-45)\/(-20351178)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-7))\/((-4)\/(-56)). Solve 0 = 2*u - 2 + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.94001 years to months.\nAnswer: 251.28012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2753 times 42\nAnswer: -115626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10177, -40736, -91683, -163018?\n\"Answer: -10194*t**2 + 23*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 2. Let s = 66 - k. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 5*n**4\/2 + 3*n**2\/2 + 3*n - 733. Let q(y) = -220*y**3 - 65*y - 65. Calculate -6*q(v) - 130*t(v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:27 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -6, -2\/2823, 1, 3\/5?\nAnswer: -2\/2823","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 29729, -87 in ascending order.\nAnswer: -87, 0, 2, 29729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - 1.9. Suppose -4*j + 9 = -w, 0 = -w + 4*w - 9. Which is the second smallest value? (a) k (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11330030012 (base 4) to base 12\nAnswer: -631232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/533 + -34022\/23985. Calculate the common denominator of 87\/10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 1.6.\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.0521, 14, -4?\nAnswer: -0.0521","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 12) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023299, 2046603, 3069907?\nAnswer: 4093211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951703 is divided by 50088?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58988 by -7519.\nAnswer: 58988\/7519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 5, 252 in ascending order.\nAnswer: 2\/13, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/(-8))\/(30\/(-471012)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3906788*j**4*l + 2*j**2*l + 17364769*l wrt j.\nAnswer: -15627152*j**3*l + 4*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14*b. Let a be -3*(-2)\/12*2. Let l be f(a). Let k = l - 11. Solve 0 = d + k - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.3. Let f(j) = j**3 - 5*j**2 - 6*j - 1. Let u be f(6). Which is the nearest to u? (a) -3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -26*q - 1960. Calculate the remainder when o(-104) is divided by 74.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.719801 and 0.22674.\nAnswer: 0.946541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - m - 41 = 3*m, 0 = 4*q + m - 96. Suppose -3*y + 110 = -q. Let o = y - 19. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5788 or -5790?\nAnswer: -5788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/91, 4, 15.78?\nAnswer: 15.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 + -4 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**2 + 32*o**2 - 55*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(700)*-6 + (-1*sqrt(700)*5)**2 + 5*(-2 + ((1*sqrt(700)*2)**2 - sqrt(700)))).\nAnswer: -125960 + 920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/3 - 12*j - 68\/3 = 0.\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064\/((-1)\/(-1)) + (16 - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5264*a + 131*a + 231985 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 - 8*r - 2. Suppose -24*s + 23*s = -7. What is u(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 21800 - 504 = 10896. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*z + 5 + 2 - 2 - 5*z + 2*z + z - 4*z + 0 - 2*z + 0 + (-z + 2 - 2)*(2 - 2 - 1) + 2*z + 0*z + 0*z to x*z + c and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80192 by -40096.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2*l**5 - l**4\/4 + 9*l**2 - 8. Find the second derivative of y(s) wrt s.\nAnswer: -120*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7601999 is divided by 1900483?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 110*x**2 + 9*x - 1022. Calculate o(-37).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -20. Suppose t*x = -5, 2*i + 3*x + x - 4 = 0. Solve 3*y = 2*r - 22, -i*y - 15 = y + r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 4, 2*s + 3*p - 1 = 0. Let q be s + ((-9)\/3 - -1) + 72. Calculate the highest common divisor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 - -159. Let h = -42 + -19. Let z = h - -58. Which is the third smallest value? (a) -2\/3 (b) z (c) q (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - -7) + -5)\/1. Which is greater: j or -6\/35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 833365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - a - 6, 0 = n + a - 1. Suppose n*g - 3*s + 4*s = 87, -105 = -5*g - 2*s. Let h = -14 + g. What is the smallest common multiple of h and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1949328 - -1949327.97600282. Let k = -0.024 - i. What is k rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 t when four letters picked without replacement from {m: 1, b: 7, n: 2, e: 3, t: 3, f: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 7. Let v(i) = 5*i - 14. Let g(m) = -4*m + 14. Let l(r) = 3*g(r) + 2*v(r). Let s be l(10). List the prime factors of k(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2348102 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-498)\/54)*(-1)\/(-2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*y + 115*y - 104 = 0. Are -25 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-24)\/10)*18\/(-2). Calculate the greatest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 25.6, -2571\/5, -0.1.\nAnswer: -2571\/5, -4, -0.1, 3, 25.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 670 = 22*w. Let m(k) = 3*k**3 - 31*k**2 + 13*k - 19. Calculate the remainder when w is divided by m(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.11489 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + t + 2*t + 5, 5*f - 5 = -4*t. Suppose 5*l + 6 = -9. Let g = f + l. Solve -11 = -g*v - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -115, -1 in decreasing order.\nAnswer: 3, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3580429303.65 minus 0.227?\nAnswer: -3580429303.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from hhshhss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 87*i - 17. Is s(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*a = -145765, -4*m - 27*a + 25*a = -116606. Let d be m\/(-20)*(-4)\/5 + 0. Calculate the highest common divisor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2747\/3 + 991. Let y = g + -1124\/15. Which is the fourth smallest value? (a) y (b) -3\/2 (c) -0.2 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) + (-3404)\/(-9660).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from {w: 3, v: 4, s: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1434259\/42 + 34145. Find the common denominator of -20\/11 and f.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 9*v - 2*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/660 - p**5\/330 + p**4\/132 + p**3\/33 - 4*p**2. Factor f(t).\nAnswer: -2*(t - 1)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from spscoppsss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36850030 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 12 = -6*x. Suppose 4*k + 2*b - 752 = 0, -3*b + x = -b. Find the second derivative of -1 - 5*l - 53*l**2 + k*l**2 - 100*l**2 wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51167143 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2970, 2735, 2342, 1791?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 9*o + 2. Let j be h(10). Let r = 13 + j. Solve -r*l - 29 = -9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17809?\nAnswer: 11, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 3. Let a be c(3). Is 1*(a + 2)*-57 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-10)\/4) - 119\/1785. Let 0*p + h*p**4 + 0*p**2 - 1\/3*p**3 + 0 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40352)\/65572)\/((-10)\/(-52))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-4)*p))\/p**6)**(-2)\/(p**1\/p*p**0*p*p**(2\/17)*p**2) assuming p is positive.\nAnswer: p**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.6204 minutes in nanoseconds?\nAnswer: 45697224000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(4)\/sqrt(2) + sqrt(2) + -2*2*sqrt(2))**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3*12\/(-18). Let a(n) = 14*n**2 - 10*n + 22. What is the units digit of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -131, -219, -325, -455?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 4\/3 (b) -5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*b**3 - 23*b - 27*b + 50*b.\nAnswer: 157*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (11\/(-4) - -3). Which is the third smallest value? (a) -2 (b) r (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(2*d + 7*d - 2*d)*(-27 + 27 + 75*d**2) to b*d**3 + w + k*d + n*d**2 and give b.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13*f - 9*f - 15 = 0, 6 = -2*z + 3*f. Put -1, -4, 1, -9, z in descending order.\nAnswer: 1, -1, z, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 2. Let c be n(4). Suppose 0 = a - t, 0 = -c*a - 3*t - t + 18. Let h = -8773 + 8777. Sort a, h, 2 in ascending order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(5\/((-105)\/3)). Sort 1, -3, b in descending order.\nAnswer: b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 24. Let s be h(-13). Suppose r + s = 4. Calculate the greatest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 12 = -2*u. Find the second derivative of 4*z + u*z + 2*z**3 + 17*z**3 wrt z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, -15, -5, -457 in descending order.\nAnswer: 3, 2, -2, -5, -15, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 37743275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 2079?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -443111001 (base 6) to base 3\nAnswer: -120000210202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 364932?\nAnswer: 364931.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 339, 1378, 3117, 5562, 8719, 12594, 17193, 22522?\n\"Answer: h**3 + 344*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -4, -134, 2, -5, -1 in increasing order.\nAnswer: -134, -40, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61779022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1011200122?\nAnswer: -1011200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523464048.57 + -5.\nAnswer: -523464053.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/20 + d**4\/12 - d**3\/6 + 39*d**2 - 19*d - 3. Let x be (-3 - -3)\/(1 - 0). What is the tens digit of q(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -24845 (base 10) to base 13.\nAnswer: -b402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367 + 370 - 19*p**2 - 1109 - 14*p + 374 to the form d + t*p + j*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/6 + 5\/3. Let m = -15 - -17.1. Let o = -0.9 - m. Which is the smallest value? (a) g (b) o (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4860 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952972448.\nAnswer: 2, 257, 115877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-94)\/(-6) - 2\/3. Let o be (-1248)\/(-130) - (1 - (-21)\/(-15)). Let m = b - o. Solve -i = -m*z + 2*i + 34, 2*i = -4*z + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vikjd. What is prob of sequence ki?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-39)\/(-15) - 166\/(-10). Let w be ((-8)\/f)\/((-3)\/24). Solve 20 = w*a, -3*q - 18 = -q - 2*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -20.99985. Round z to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 54 - 84. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 6*v**4 - v - 14. Let k be h(1). Let n = k + -6. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 189) + 119 + -1 + 3 + 14\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*g = 3*g - 1272, -3*r - 2*g = -1284. Round r to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 2*z**3 - 2*z**3)*(0*z**2 - 14*z**2 + 0*z**2) - 3*z**5 + 2*z**5 + 0*z**5.\nAnswer: 27*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/5 (b) -23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, 899, 2778, 5607?\n\"Answer: 475*h**2 - 496*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41199723 - -0.412. What is c rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Let i = 1 - a. Let o(u) = -i - u**3 + u - 2*u**2 - u**3 + u**3. What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2636, 2.\nAnswer: -2636, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2.4 (c) -0.04 (d) 143 (e) 0 (f) -0.2 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 24*b - 45 to the form d + r*b and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 3, h: 5, z: 1}. Give prob of sequence co.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-200))\/(3\/(-5)))\/(8\/(-156))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from vlboo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59091 + 84107. What are the prime factors of x?\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337211.\nAnswer: 3, 148579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -28, -54, 10, -4 in decreasing order.\nAnswer: 10, -1, -4, -28, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -160, -233?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*o - 5 - 7, 3*o + 5*v + 17 = 0. Let x(d) = 3*d - 4 - d**3 - o + 3*d + 3*d**2. Let r be x(4). Let k(z) = -z**2 + 4*z - 1. Determine k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/64781?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 70069 = 9*a - 7*a, 5*y = 3*a + 116782. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -44 + 21 + 29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let i be (-1)\/((u - 3)\/(-9)). Let o(l) be the third derivative of -5*l**4\/12 + l**2. Let q(j) = 2*j. What is i*q(h) + 2*o(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c**2*d**2 - 389*c**2*d + 56*c**2 + 19*c*d + 1462700*d**2 wrt c?\nAnswer: -22*d**2 - 778*d + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.42 - -63. Let n = u - 7.88. Let z = n + 6. What is the second smallest value in z, 4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547667 is divided by 182480.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 3*i + 1. Suppose -w + 3*w - 4 = 0. Calculate the smallest common multiple of 5 and j(w).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 5\/3 (c) 6.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/13, 1\/318, 5213 in ascending order.\nAnswer: -2, -2\/13, 1\/318, 5213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*k**3 + 75*k - 44*k**3 - 73*k - 1 to d*k**2 + v + b*k**3 + m*k and give b.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aataattattaa. Give prob of picking 4 a.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a0590 (base 11) in base 15?\nAnswer: -57685e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 155, 320, 543?\n\"Answer: 29*c**2 + 20*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*d*f**2*r + 2*d*f**2 - 3*d*r + 4*d - 4*f*r wrt f?\nAnswer: -28*d*f*r + 4*d*f - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*n - 88 - 1748 - 1963 = -82 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 0.5. Let h be 2\/9 - (-2760)\/(-6831). What is the nearest to 1 in -3\/5, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111357 is divided by 480?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 777120*h + 50326291200 = 0. What is h?\nAnswer: -129520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 25671?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3360 and 2858793.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*l - l + 8*l)*(2*l**2 + l**2 - l**2 + (-1 - 2*l + 1)*(1 - 1 - 2*l) - 3*l**2 - 2*l**2 + 2*l**2) to the form d*l**2 + m*l**3 + t*l + f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 36 = -12*p. Let v(t) = -t**3 + 9*t**2 - 9*t + 9. Let m be v(8). Differentiate 3*k**2 - p + 6*k**2 - m with respect to k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 2*o = -29 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4524*i**2 - i + 2*i - 23723*i**2 + 4*i. Let g be o(-5). What is g rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 9) to base 5.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2031*j**6 + 10*j**2 + 203*j wrt j?\nAnswer: -243720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/5 - (-2856)\/(-280).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 74276145.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/70)\/(6\/(-30))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 7*c - 8. Let f be v(5). Let p(k) = 5*k + 3. What is the tens digit of p(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 452538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 4341?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*u - 185 - 2498, -4*v - 2*u + 2686 = 0. Suppose 90*m - v = 84*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-456863354)\/(-5598) + (-8)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 569 + 610. What are the prime factors of l?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 - 262*m**2 + 263*m = 0.\nAnswer: -263, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 400*f*m**2*u - 9*f*m**2 - f*m + 98*f*u - 2*m**2 - 815293*m*u wrt f.\nAnswer: 400*m**2*u - 9*m**2 - m + 98*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -33. Factor 19 - 90*n**m + 55*n - 4 + 70*n**2.\nAnswer: -5*(n - 3)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*s + 32 = 0, -5*o + 783*s = 787*s - 38. Let z be 1*-1 + 2\/1. Sort -2, o, z, -6 in ascending order.\nAnswer: -6, -2, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:05 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 8) + (21 - (17 + -2) - (0 - -55)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 16) to base 8.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112 + 97?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 851 - 826. Let z(m) = 62*m**2 - m - 1. Calculate the remainder when z(-1) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415393, -415538, -415773, -416092, -416489, -416958, -417493, -418088?\nAnswer: -418737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*q + 39*q - 23*q)*(7 + 1 - 2)*(2*q - 2*q - q)*(4 - 3 + 1) to the form x + v*q**2 + l*q and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*14\/7 - 4. Solve -10*u + 7*u + 12 = x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75*3\/(-108)*14\/(-35).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/13901?\nAnswer: -1\/13901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40b (base 12) to base 16.\nAnswer: -24b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:19 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -310\/21 - -115\/7. What is the closest to 3\/23 in o, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Suppose 11*m - 6*m = -4*h + 679, h + m = 169. Let w = 188 - h. What is the least common multiple of w and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y - 403 = 0, 2*y = c - 0*y - 137. Let h = c + 164. Suppose -452 = -j + h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 8. Let k be m(-9). Let y be 2*k - (-18 + 14). Suppose 0 = 4*d + 2*t - t - 1991, -1003 = -y*d - 3*t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51\/23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*m = 3096, -748 = -c + 4*m + 284. What is the greatest common factor of 168 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 485.4083 years?\nAnswer: 48.54083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 338, 4, -1 in decreasing order.\nAnswer: 338, 4, 3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 46965 in descending order.\nAnswer: 46965, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.31. Let i = -68.9946 - -69.1845935. Let m = i + v. What is m rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.023, -9, 3\/10, 3, 19?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**15*d*d*d**(-1)*d)\/(d**1\/(d*d*d\/(d*d*d**(-1))*d*d)) assuming d is positive.\nAnswer: d**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -199906?\nAnswer: 199904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owy when three letters picked without replacement from {w: 2, y: 1, s: 2, h: 1, o: 6}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2351940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5\/7 + 46*t**4\/7 - 330*t**3\/7 + 86*t**2 + 140*t = 0.\nAnswer: -1, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -32. What is the second biggest value in z, 1\/4, 30?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*r, 0 = -2*h + h + 4*r - 9. Calculate the remainder when h - (-2 + 0) - 1 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/20*1 + 1044\/15. Let c = -63 + g. Which is greater: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 5*b - 67*b = -1215 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/280191 and -49\/373588.\nAnswer: 1120764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)\/(p**(1\/10)\/p) assuming p is positive.\nAnswer: p**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v - 7. Let w be s(5). Let f(b) = -2*b**2 - 2*b - 2. Let h be f(w). Let i(c) = -c + 1. Determine i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpkxvvvjxjke. Give prob of picking 2 v, 1 x, and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(512)*4.\nAnswer: 256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + 1. Let f(d) be the second derivative of -1\/3*d**4 - 1\/20*d**5 + 2*d**2 + 6*d + d**3 + 0. Let j be f(-5). What is r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 50. Suppose 0 = 3*u + d + 3 - 42, -3*u = 4*d - s. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 - 4*j - 12. Let r(y) = 30*y**2 - 11*y - 33. Let x = 579 - 575. Let l(i) = x*r(i) - 11*v(i). Let m(b) = 10*b. What is m(l(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -87. What is the remainder when 55 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 37*a**2 - a + 0*a.\nAnswer: -37*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 - 9*k + 336. Let y be h(14). What is the greatest common divisor of 189 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5011*l - 325719. What is c(-65)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrvyvyyyqyqqyqqyyyry. What is prob of picking 1 q and 1 v?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4021 is divided by 24\/(-14)*(-91378)\/856?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.16663t to micrograms.\nAnswer: 69166630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3646 - -3646. Solve f*v**2 - 1\/7*v + 0 + 1\/7*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6138?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n + 15. Suppose 4*p = -16, -5*x - 2*p + 19 = -n*p. Suppose v + 2*j - 20 = -j, -16 = -x*v + 2*j. 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 123595*z - 23436 + 23436.\nAnswer: 123595*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + 2 - 6*l**2 + 0 + 3*l. Let f = 35 - 22. Suppose 0 = 5*y - 7 - f. Determine s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/22 - ((-125)\/(-275) - 30).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.202 + 257.798. Let r = 258 - g. Which is bigger: 150 or r?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 24 (b) 3 (c) 2 (d) -73058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, v: 3, u: 1}. Give prob of sequence quqq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - (-8 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1 (c) 2.44 (d) 0.054 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3\/4, 0.13, -1\/711, -5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3*q**4 + (-4*q**2 + 2*q**2 + 0*q**2)*(0*q**2 - 2*q**2 + q**2) - q**4 + 4*q**4 + q**4.\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511641 is divided by 8861.\nAnswer: 6564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7036 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224795756 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/13018810 and 53\/33415.\nAnswer: 533771210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 25*s. Let k(o) = -1834*o. Calculate k(f(t)).\nAnswer: -45850*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 2. Let c(q) = q + 4. Let o be c(k). Find the third derivative of -3*r**6 - r**2 + o*r**2 + 2*r**2 + 2*r**6 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-135)\/84))\/(442\/1105)*6\/48\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56960, 227748, 512350, 910760, 1422972, 2048980, 2788778, 3642360?\n\"Answer: -z**3 + 56913*z**2 + 56*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 14 - 13 = 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7 + 1)*(-9*c**2 - 2*c**2 + 3*c**2).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t + 2 = -78 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -743 - -742. Which is the closest to n? (a) 5\/4 (b) -10 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 56*d + 345. What is y(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*2)\/((-1)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -33*t - 42. Let h(q) = -62*q - 83. Let r(w) = -125*w - 166. Let b(s) = 5*h(s) - 3*r(s). Let o(u) = -3*b(u) - 5*d(u). Is o(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**6\/720 - y**4\/6 - 2*y. Let i(d) be the third derivative of w(d). Give i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 14 - 10 = 0. Suppose -5*p = 3*o + 60, -p + 4*p + 12 = 3*o. Let c be p\/r*8\/(-6). Solve 4 = 4*g - c*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 343*m**2 - 2113*m + 6557. Determine l(349).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8754780.84 rounded to the nearest 1000?\nAnswer: -8755000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 3*i + 3*i - 60*i**3 + 59*i**3 to d*i**3 + z*i**2 + f*i + s and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918 divided by 9?\nAnswer: -2918\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/149370237?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2007072 divided by 96?\nAnswer: -20907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 217297?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.881 - 0.119. Sort 12, 0.4, -1\/7, x in decreasing order.\nAnswer: 12, 0.4, -1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.2, 13689, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 514*n + 3964. Give r(-8).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/13 - 7192266*w\/13 = 0?\nAnswer: 0, 3596133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m. Let z(s) = 23*s. Let a(o) = -34*l(o) + 6*z(o). Let f(i) = -6*i - 3712. Let p(y) = -929. Let j(x) = f(x) - 4*p(x). Determine j(a(q)).\nAnswer: -12*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6682910*a*j - a*w - 2706*j*w + 478*w wrt a?\nAnswer: -6682910*j - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -7. Let o = -2.8 + 6.8. Let w = o + m. Which is the closest to 1? (a) 2 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/2 + -4 + (0 - -2). Let k(t) = -t**3 - 11*t**2 + 14*t + 23. Let o be k(a). Is o smaller than -2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1915, 9, -33 in decreasing order.\nAnswer: 1915, 9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430236 = -1375*f - 38*f - 10538*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 210 + -1047\/5. Let x be 3218\/10*2\/(-4). Let a = 967\/5 + x. Find the common denominator of k and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1176669, 1176616, 1176563?\n\"Answer: -53*b + 1176722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 41*p - 421. Give x(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110101111 - 12?\nAnswer: -1110101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334716*0.09.\nAnswer: 30124.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 250, 392, 518, 622, 698, 740, 742?\n\"Answer: -g**3 + g**2 + 156*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, x: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4020 is divided by 229.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8*i = 5*j + 5, 2*j - 1 = i. Suppose -5*y + 4 = -4*b, 0 = -y + 4 - 0. Solve j = 2*t - b*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -843*k**2 - 5*k - 5. Let d(c) = 1264*c**2 + 8*c + 8. Give 5*d(w) + 8*q(w).\nAnswer: -424*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 2*w - 7*w + 5*w - 13325 - 13333 + 26658.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9193685 or 0?\nAnswer: -2\/9193685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y**2 + 4*y - 2. Let h be b(2). Let u(x) = -1. Let o(j) = -10*j - 6. What is h*u(d) - o(d)?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18031054\/263 - -68559. What is the common denominator of -55\/2 and h?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*a + 70 = -668*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11 - 138*l**5 + 101*l**5 + 9*l**2 - 59*l**5 - 922*l**5 wrt l?\nAnswer: -61080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 539. Let u(b) = b + 180. Determine -3*r(g) - 8*u(g).\nAnswer: g + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.426011 centuries to decades.\nAnswer: 54.26011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10709?\nAnswer: 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47\/2*c**4 + 0 + 1\/4*c**5 + 2301\/4*c**3 + 529*c + 1081*c**2 = 0. What is c?\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10065 = 15*w. Suppose 5*c = 5*f + w, 3*c - 530 - 15 = 4*f. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32364 and 4176?\nAnswer: 129456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 155005?\nAnswer: -31001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - i. Let y be d(1). Suppose 3*j - 2 = 5*h, 5*j - 5*h - y - 1 = 0. What is the second derivative of 2*o**j - 2*o**4 + 6*o**4 - 6*o wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517 divided by -3?\nAnswer: 1517\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1212 - 813. Suppose 0 = -4*v + 5*q + 1650, 5*v + 2*q - 1664 = v. Suppose v = 2*n - r. What is the highest common factor of 37 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**3 - 29*t**3 + 92*t**3 - 32*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-9 - 16 + 26)*(-4*k + 4*k - 2*k**4) + k**4 - k**4 - 2*k**4 + (2*k**2 + 2*k**2 - 2*k**2)*(2 - 2*k**2 - 2) - k**4 + 3 - 3.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2444 and -29\/583648.\nAnswer: 27431456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 3 - 3 + (5 + 3 - 2)*(0*u**2 + u**2 + 0*u**2) + 0*u**2 + 3*u**2 - u**2 + 0*u**2 - 7*u**2 + 21*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 2 s when four letters picked without replacement from {o: 2, s: 2, a: 1, b: 1, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 3:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/2 - q**3 = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by 14?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 4*z - 1. Suppose -15 = -2*q - 1. Let w(x) = -x**3 + 6*x**2 + 9*x - 8. Calculate the remainder when w(q) is divided by n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 564 = 4*f. Let y = f - -985\/7. Put y, 5, -0.1 in descending order.\nAnswer: 5, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 41040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouoxuuoouqoouu. Give prob of sequence uu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 206609966 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 62468*i**2\/3 + 492063104*i\/3 + 22240107968.\nAnswer: 2*(i + 138)*(i + 15548)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 6) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2320 - 563 - 92 = 119*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 8\/3)*-9. Let y = g + 3. Factor 14 - k - 8 + 4*k + y*k - 3*k**2.\nAnswer: -3*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -r + 84. Let p be ((-16)\/(-6))\/(r\/(-9)). Suppose -2 + 278 = p*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -343 + 137*d**4 + 137*d**4 - 5*d**2 - 275*d**4 - 13*d**2 wrt d.\nAnswer: -4*d**3 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235214944 to the nearest integer?\nAnswer: 15337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 76 = -w, -6*n + 38 = -4*n + 3*w. Solve -5*g - n + 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 3*(20 + -1). Let j = p - 28. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7))\/((-18)\/14). What is the second biggest value in 2, 4, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**2 + 3*v**2 + 0*v**2)*(-206*v + 14 - 34*v - 13) to the form i*v**2 + u*v + d + y*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-0.71165\nAnswer: -0.014233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:50 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m**3 + 200*m**2 + 460*m - 240 = 0.\nAnswer: -2, 4\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((96075\/(-420))\/61)\/(63\/(-24))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*j + 348*j - 227 = -2333 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*i**2 - 1300*i**2 - 616*i**2 to m*i + r + d*i**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c + 4 - 18 - c**2 + 2*c**2. What is the units digit of u(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 10*o**2 - 18*o - 10. Let h be s(-8). Let i be (-63)\/15*5\/(-1). Suppose -h = -a + i. Calculate the highest common factor of a and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222776171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223853?\nAnswer: 7, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273577, -273578, -273579?\nAnswer: -273580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22968 = -217*q + 391*q. Calculate the lowest common multiple of 2 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 752\/1503 - 1\/3006. What is u in 3\/2*u**3 + 1\/2*u + 0 - 3\/2*u**2 - g*u**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -23\/3209517?\nAnswer: -23\/3209517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) 4\/3 (c) -1 (d) -1\/2 (e) -4\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -40*x - 243 + 25 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1287 * 0.3\nAnswer: 386.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-24) - 1901\/(-4). Suppose -v = -3*t - 163. Let k = -25 + t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 11702340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -13*l**3\/6 + 3*l**2\/2 + 24*l + 86. Let p(f) = 4*f - 1. Determine 3*a(b) + 8*p(b).\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248458.\nAnswer: 2, 7, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.49 * 12.3\nAnswer: -18.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688275380 less than -205.8?\nAnswer: 1688275174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)\/y*y)\/(y*y\/(((y*y*y*y**9\/y*y*y)\/y*y*y*y)\/y)))\/(y**(-10\/9)*y\/y**(-1\/21)*y) assuming y is positive.\nAnswer: y**(193\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 10:44 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34089 and 307834.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + 1)**2.\nAnswer: 22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 32. Find the common denominator of (249\/(-21))\/((-6)\/(-7)) and (-2)\/p + (-76)\/16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 + (-1)\/2. Let i(h) be the first derivative of 80*h**3\/3 - h - 92. Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272140 divided by 13607.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1012111, -1012112, -1012113, -1012114, -1012115, -1012116?\n\"Answer: -t - 1012110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and 3097.\nAnswer: 3096.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - -0.39. Which is the third smallest value? (a) 3\/2 (b) 2\/15 (c) -6 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:01 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 190?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731 and 46268.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 728.000001446 + -728. What is l rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3276*m - 62. Let y be t(-2). Let b = y + 145593\/22. What is the common denominator of -95\/426 and b?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14600 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -198851524194+173\nAnswer: -198851524021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 21\/79, 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165857?\nAnswer: 165857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((1 - -14) + -29 + 20)) + -56?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let x be (n + 8\/9)*2. Let a = 10\/27 + 31\/135. What is the second smallest value in 0.3, x, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 21 = 3*f, -2*f - 3 = -3*f. Let u be -2 - h - 0\/(-1). Calculate the remainder when 25 is divided by (-21)\/(u\/8*1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-6*5\/(-6345))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-30)\/(-50) - (162\/(-5) + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 33 = -2000*x + 2009*x, 0 = -17*w - 2*x + 112 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/4 + 4530*y - 1766525\/4.\nAnswer: 5*(y - 95)*(y + 3719)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + c - 5*c + 46, -3*b = -4*c - 2. Suppose 2*w = 4*w - 10. Solve -w + b = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17497778.\nAnswer: 2, 8748889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 4. Let s(p) = -14*p - 20. Let k(g) = -s(g) + 5*x(g). Let o(j) = 777*j**2. Give k(o(n)).\nAnswer: -777*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9975183 + -15525817. What is k rounded to the nearest 100000?\nAnswer: -25500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 + 139. Find the second derivative of -w*o**2 + 19*o + 27*o + 20*o**2 + 16*o**2 wrt o.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 + 21*b**3\/2 - 84*b**2 + 120*b.\nAnswer: 3*b*(b - 4)*(b - 2)*(b + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 4*s**2 - 9*s - 10. Let g(c) = c**3 + 3*c**2 + 6*c + 7. Let a(u) = -7*g(u) - 5*i(u). Is 20 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 49 and 0.358 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 7) in base 4?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38199.83 to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 5*p**2 + 6*p + 4. Let o be m(6). Suppose -o = -i + 5*i. What is the units digit of ((-9)\/(-12))\/(i\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfppgpqgsqqpfgpf. Give prob of sequence spqp.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72620 and 50460.\nAnswer: 183220260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*g - 4*g + 3, -2*p = -2*g. What are the prime factors of ((-33)\/(-3))\/(g - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5*f*f)\/f**(4\/3))**(-5\/6)\/((f**(-7\/2)*f\/f**(-6))\/((f\/(f**(-2\/25)*f))\/(f\/f**(-1\/4)))) assuming f is positive.\nAnswer: f**(-9203\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1550.47 less than 4?\nAnswer: 1554.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Suppose q*o + o = 3*l + 156, -5*o + 275 = -2*l. What is the greatest common divisor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.012 + 0.02. Round g to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1\/52, -0.192, 14, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1066 + -573. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 0*g - 3*g + 3*g - g**3 - 3*g. Let j be z(2). Is j\/11 + (-3380)\/(-44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 4 + 31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -46, -82, -116, -142, -154, -146, -112?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**7\/2100 - q**6\/225 - q**5\/75 - 4*q**3\/3 - 1. Let u(s) be the third derivative of p(s). Factor u(i).\nAnswer: -2*i*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435324 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3)*(3*o**2 + 6*o**2 + 6*o**2) as z*o + k + j*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2233297 - 3?\nAnswer: 2233294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r**4\/r)\/r*r*r)))\/r*r\/(r*r**5))**(-1\/18)\/((r*r**(-6)*r\/((r*r\/(r**(-2)\/r))\/r))\/(r\/r**(2\/15)*r**0)) assuming r is positive.\nAnswer: r**(803\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/536528 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 9*m = 2*q - 26, 45 = 5*q + m. Let k be ((-18)\/q)\/(6 - 9). What is the closest to k in -2\/29, -3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39959165*i**4 + 134178939*i wrt i.\nAnswer: 479509980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 - 12*p + 103. List the prime factors of z(7).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504 = 23*w + 343 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -694 - -40949\/59. Let q = i + 38\/413. Let l = -128\/3 + 42. Which is the third smallest value? (a) l (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12048708407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -122*b - 1 - 7*b**2 + b**2 + 2*b**2 + b**2. What is the units digit of o(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.1. Let p = -39 - -39.1. Let q = y - p. Sort 0.3, q, 1 in increasing order.\nAnswer: q, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141533 (base 8) in base 6?\nAnswer: 1023311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j - 1 + 7*j + 5 - 5 + (0 + 2 - 4)*(-5 + 5 - 2*j))*(41*j**3 - 15*j**4 - 41*j**3) + 8*j**3 + 7*j**5 - 8*j**3.\nAnswer: -173*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + -1010?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0234 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 39 = -z, -3*w = -5*z + 98 + 58. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311 (base 9) in base 2?\nAnswer: 1111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205662672 rounded to 3 decimal places?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000279916 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 > 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3453 + 885 = 0. Let u = -650 - y. List the prime factors of u.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 - 42*p - 1. What is h(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-130)\/24)\/((-132)\/(-16) - 6) and -5\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6218937?\nAnswer: 3, 76777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 43*b**4 - 2*b**3\/3 + 2851*b**2\/2 - 1895. What is the second derivative of k(p) wrt p?\nAnswer: 1032*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 2*m - 6. Let c(n) = n**3 - 6*n**2 - 10*n + 5. What is the remainder when c(8) is divided by x(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 165?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Let q = -13 + 7. Let i = q + d. Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5))**(-12)*(u**(-1)\/u)**(-2\/147) assuming u is positive.\nAnswer: u**(3548\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*q - 3 + (-3 + 62 + 109)*(-2*q - 3*q + 3*q) to f*q + o and give f.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/20 + 4*z**2. Let o(k) = 5*k**2 - k**2 - 3*k**2. What is o(c(s))?\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Let u be (0 - 0)*(-1 + 2). Solve -z = -u*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8750405868 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = 160*n - 153*n. What is the remainder when 5821 is divided by n?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12134425 + -1?\nAnswer: -12134430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1260 and 151\/18.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o - 121*o - 7*o - 8*o - 81*o - 6 - 93*o.\nAnswer: -272*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.47 and -0.0516?\nAnswer: 14.5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17156021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/7, -1\/4, 0.478, 3.5, -2\/65, -5, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6451 = 3*b - 12112, -5*d = 5*b + 46370. Let r = -4520 - d. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-8) + 1\/(-2). Suppose 32*u - 12*u - 69*u - 686 = 0. Sort 4, u, c in ascending order.\nAnswer: u, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118981, 122403, 125825?\nAnswer: 129247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 - 16*m**2 - 116*m - 96 = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 - r + 10. Let c be p(7). Calculate the common denominator of (c\/15)\/((-1)\/38) and 48\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111102 + -12331023?\nAnswer: -13102131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018 = -82*i - 280 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 6 - 56. Suppose 7 - 3 = z, 30 = 2*j + 5*z. What is the derivative of -j - w*k + 3 - 13 + 2 wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2)*-3 - sqrt(14)\/(-2*sqrt(7) + sqrt(7)))**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71.7 + -72. What is the biggest value in w, -2\/5, 2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let x be g(-4). Let n(q) = q**2 - 7*q. Let o be n(x). What is the highest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244.816 - -244.8. Sort 1, 3, a in decreasing order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2331140?\nAnswer: 2331200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + u = -3*h - 1, 5*u = -h - 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -46*g**3 - 218*g**2 + 332*g + 1379. What is j(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -3 + -5)*6.\nAnswer: -48 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 4. Let c be r(-2). Let a be c - (-10)\/(-6) - (-16)\/6. Suppose 0 = 4*g - 3*l - 511 + 103, 4*g = -a*l + 432. List the prime factors of g.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 100 + 280. Let w = o - 32. Let m = -18 - w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37762.\nAnswer: 2, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzrzzzrrrmzrzrzzzm. Give prob of sequence rzz.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -160*q**3 - 2*q**2 - 2*q. Let n be (-10)\/(-80) - 27\/24. Does 16 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.057 (c) 0.6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560331399?\nAnswer: 3, 186777133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36631, 36649, 36681, 36733, 36811, 36921?\nAnswer: 37069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1 - (-1)\/1. Suppose 2*h - 34 = 56. Let j be (-9)\/h - (-2)\/(-10). Is j at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74226116?\nAnswer: 2, 3319, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjpcjcppjjjp?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -22*i - 218 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12034 minus -6323?\nAnswer: 18357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45619908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -835\/14?\nAnswer: -835\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 770?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0138929144 rounded to four decimal places?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*k = 411 + 107, -4*k + 518 = 2*g. Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 20 = 10*w. Suppose 0 = -x - 2*o - 4, 0 = -3*x - o + 2 - 4. Suppose -2*v + 11 - 3 = x. Solve -2*j = r - 5, -v*r + 20 = -0*j - w*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.797 (b) -0.4 (c) -6.2 (d) 1\/2 (e) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14205601.99 to the nearest 10000.\nAnswer: -14210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 7*u - 2*u)*(-1 + 1 + 3*u) + (2 - 2 - 2)*(-u**2 + u**2 + u**2) + 2*u**2 - 5*u**2 + 2*u**2 + (-21 + 21 + 6*u)*(4*u + 3 - 3).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 7*n + 6. Let p be r(5). Let v = 4 + p. Let q be -36*14\/(-35)*(-50)\/(-20) - 4. Solve -4*w + 4*m = -v*m + q, -w - 23 = -4*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1034*28787.\nAnswer: 29765758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 54. Let i be (1 - 3) + 1 + a. Solve m = 4*y - 2 - 4, i = -4*y + 5*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/99)\/((-4)\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 0*y + 3*y**4 - 2\/3*y**3 - 149\/2*y**2 - 61. Find the second derivative of i(h) wrt h.\nAnswer: 72*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**2. Let c(d) = -296*d**2. Calculate c(y(f)).\nAnswer: -23976*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1339*y + 49. Let n be i(-9). Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 1\/27*g**3 + 1\/15*g**5 + 9*g + 1\/189*g**7 + 0*g**2 - 2\/27*g**4 - 4\/135*g**6 + 0. Factor b(p).\nAnswer: 2*p*(p - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**5 + 7*u**5 - 5*u**5)*(-44 + 26 + 22).\nAnswer: -28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2394*t - 11155 = -1848*t - 1327 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573447?\nAnswer: 3, 7, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 562, 882, 1254, 1696?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947628, -1895312, -2842992, -3790668, -4738340, -5686008?\nAnswer: -6633672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Suppose 366 = -4*a + 518. Let g(q) = -184*q - 194*q - a + 378*q - 3*q**2. Give g(x(s)).\nAnswer: -3*s**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 - 2*w + 6. What is z(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -104. Let w = y + 75. Find the second derivative of -v**3 + 15*v**3 - 18*v - 4*v**w - v wrt v.\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1477, 1455, 1433, 1411?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92826 divided by 502?\nAnswer: 46413\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006105 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1136 and -9\/176.\nAnswer: 12496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1056)\/9856)\/((-2)\/(-24))*(-1)\/3\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose -2*u + 5*f = -1735, 0*f + 2*f + 868 = u. Let p = u + -1246. Does p = -376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.270051599 and 22.58.\nAnswer: 17.309948401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - 21. Let o be ((-4)\/n)\/(1\/(-4)). Let k = 0 + -5. What is the nearest to 0 in o, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 + 3 + 3*a**2 + 10*a**2 + 2*a**2. Is f(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, -0.2, 62\/41, 2, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5145175kg?\nAnswer: 514517.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -5*g**3\/6 - g**2\/2 - 30*g + 27. Let q(a) = -5*a - 2. Give -2*h(r) + 3*q(r).\nAnswer: -5*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000704589624 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -653, -662, -671?\n\"Answer: -9*w - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -17.9 (c) -3 (d) 828\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2776 (base 11) to base 13.\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0*n**4 + 0*n**5 + 136\/15*n**6 - 1 + 0*n**3 - 97*n - 15*n**2. What is the derivative of l(q) wrt q?\nAnswer: 1088*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 511 = -7*t. Let l = -51 - t. Let j(n) = n - 10. Let c be j(l). Solve a - 5*a + c = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*j + 2916 = 408*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = 2*u, 0 = -3*u - 0*u - w + 8. Suppose 6*g - 5*h = 2*g + 66, 3*h + 6 = 0. Suppose -u*l + g = -151. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -21*c**3 + 2*c**2 + 2*c - 3. Let f(a) = 43*a**3 - 5*a**2 - 5*a + 7. Let n(i) = 4*f(i) + 9*u(i). Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -73*f + 50*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4 take away -0.65?\nAnswer: -10.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:36 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.46 + 30.46. Which is the second biggest value? (a) -0.4 (b) n (c) 1 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1646, -3287, -4928, -6569, -8210?\n\"Answer: -1641*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*v - 36 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 2 - 1244*u**3 - 6*u**4 + 2478*u**3 - 1214*u**3 to the form o*u**2 + c*u**4 + d + w*u + a*u**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1218275485*t**5 - 791148176*t wrt t?\nAnswer: -24365509700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21806*g - b = -21811*g + 20, 0*g + 3*g + 2*b - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q + 5. Let h be (15\/(12\/(-4)))\/q. Calculate the smallest common multiple of (-8)\/(-4)*h\/(-1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*m - 24. Let x(b) = -b**3 + 7*b**2 - 5*b - 3. Let j be x(m). Suppose 4*z = -4*c - 12, z + j = -5*c + 8. Solve -c = o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2493 by 1.\nAnswer: -2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110162 times -199.2\nAnswer: -21944270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 11. Let a = 10 - x. Let y = -13928 - -13926. What is the nearest to y in a, -4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -3. Let v be (-4)\/a*(-3)\/(-11). What is the third smallest value in v, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21335540 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*b = -2, b = 3*m - 3*b + 22. Let j = 0.03 - -0.07. Let p = 0.1 + j. Sort 0.3, p, m in increasing order.\nAnswer: m, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2411924, 0 in increasing order.\nAnswer: -2411924, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(117) - sqrt(117) - sqrt(117)*-1*3)\/(sqrt(144)*-1 - 2*sqrt(324)).\nAnswer: -7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20980590 and 14320.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (3 + sqrt(475))*3 + -4.\nAnswer: 7 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + 16*o - 22. Let l(c) = 5*c**2 - 17*c + 22. Let r(t) = -3*l(t) - 4*q(t). Find g, given that r(g) = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 231525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 1002*l**2 - 2*l**3 + 1002*l**2 + (-2*l + 0 + 0)*(-1 + 2*l**2 + 1).\nAnswer: -6*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5311303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 313, 310, 307, 304, 301?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255374349?\nAnswer: 101, 12429449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3869 - 6456. Let i = a + 3839. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.140012104 + -2.0399607. Let u = 7.299952896 + w. Let g = -7.4 + u. What is g rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*h - h = 0, 2*h = -2*l + 18. Suppose l = 7*d - 10. Let u = 2 + 5. Put d, u, -5\/4 in increasing order.\nAnswer: -5\/4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*v - 18 = -3*y, -3*y - 4*v + 5 = 0. Let n(c) = -y + 3 - c. Let d(i) be the second derivative of -i**4\/6 - 3*i. Give d(n(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2095 + 1645 - 2270 = -544*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/311508 and 13\/16152.\nAnswer: 419289768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m + 8. Suppose 4*w - w = 0, -67 = -g + m*w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/(-120)*2*1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*w**2 - 5)*(-3*w - 2 + 3*w + 3*w).\nAnswer: -6*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q - 1. Let w be g(-6). Let o = -797987 + 797989. What is the highest common divisor of w and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 4 = -49*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 - 88*j**4 - 508*j**3 - 848*j**2 - 432*j = 0. Calculate j.\nAnswer: -2, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31534903, 31534900, 31534897, 31534894?\n\"Answer: -3*k + 31534906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8571262 divided by -5.\nAnswer: -8571262\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + 0)\/((-3)\/10). Suppose 5*n = 3 - 33. Let g = k - n. Put g, 4, -5 in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26692*x**3 - 4*x + 26690*x**3 + x + 3*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**3*c))\/c*c*c*c**(-4))\/(c**(-2)*(c*c**(-3\/4))\/c))\/((((c\/c**(-2))\/c)\/c)\/(c**(1\/3)*c))**(7\/2) assuming c is positive.\nAnswer: c**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/26 + 265\/234. What is the second biggest value in 0, -1, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22356 and 1528.\nAnswer: 341.59968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3492, 3496, 3500, 3504, 3508, 3512?\nAnswer: 3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = -5*n, -2*r = 4*n - 9 - 21. Suppose -n*t = p + 2*p - 12, 0 = t - 3. Which is smaller: p or -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7633200 rounded to the nearest ten thousand?\nAnswer: -7630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 2}. Give prob of sequence kk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*h - 6 = -p + 387*h, p - 2*h = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48264)\/(-30))\/(4\/10). Let y = 40257\/10 - p. What is the common denominator of y and -97\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 6*h + 10. Suppose h*r + 2*x = -9, -4*r = 2*x - 0*x + 6. Let c(p) = -13*p + 7. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = -4*x + 6*w, -w = -2*x + 13. Suppose x*p - 77 = -y, -2*p + 25 = -y - 6. What is the greatest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*0.58\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (640\/(-15680))\/(93\/(-147))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(4)\/sqrt(2)) + -5*sqrt(153).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from ooloxgokxoox?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/22 + 216\/(-22). Let v be -1 + c\/(-8) - 255\/(-68). Suppose 4*o + 9 - 87 = 3*i, -3*i + 90 = v*o. What is the smallest common multiple of o and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*y - 9*y. Let x(p) = p**3 + 36 - p + 7*p**2 - p**2 - 5*p**y. What is the units digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*o + 1290 = -1359 + 388 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/23 + 306\/(-3519).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-21)*(-2)\/(-12)*1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -1731\/8. Let l = -2.8 + 3. Let k = 6 - 10. What is the nearest to -1 in k, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m + 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 60 (c) -0.1 (d) -0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 90 = -9*g. Suppose 4*h - 16 = -4*f, -14*f + g*f = 0. Sort h, -4, -1, 0 in ascending order.\nAnswer: -4, -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62478 and 91.\nAnswer: 5685498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11848 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1405 - -1411. What is the smallest common multiple of f and 22048\/65 - ((-8)\/10 - -1)?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eieeeeeeeieeeeeeeiee?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8761415*c**3 - 5755160*c**2 wrt c?\nAnswer: 52568490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/(-110))\/(21\/140).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*o - 2, h = -8*o + 7*o. Find the first derivative of 103*n - 102*n**h - 103*n - 60 wrt n.\nAnswer: -204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2915 is divided by 725.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 21*a**2 + 17*a + 64. Let h be j(20). Let x(l) = l**3 - 3*l**2 - 3*l - 1. Let u be x(h). Sort 17, -4, u in decreasing order.\nAnswer: 17, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 80 = -4*q. Calculate the lowest common multiple of q and 178.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 9*h + 2. Let u(q) = -2*q**2 - 10*q - 2. Determine 3*j(g) + 4*u(g).\nAnswer: g**2 - 13*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 542500?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.6 + 97.6. Let q = 77.991 - i. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -7. Let w = s - -1. What is the nearest to 1 in -0.1, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/35*((-84)\/(-6))\/(180\/(-750))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 22 - 3 = -g - 2*f, -3*g = 5*f - 178 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 - 7*c**3\/6 - 7*c**2\/2 - 14*c. Give o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 0.1 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 7. Differentiate z**3 + 28*z**x + 5 + 0*z**3 with respect to z.\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 - 17 = -h, 0 = 2*h + 4*i + 10. Put h, -8, -2 in descending order.\nAnswer: h, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.97 + -0.03. Let v = 1.3 - -3.7. Which is the third smallest value? (a) p (b) -1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 3781020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 24*c - 2. Let s be k(5). Let t(z) = 2*z**2 + 14*z + 5. Let l be t(s). Suppose l*u = 138 + 47. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10826858 or 10826857?\nAnswer: 10826858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = u, 0 = -3*w - 5*u + 1381. List the prime factors of w.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120.2 times -45.1\nAnswer: -5421.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-20) + (-115)\/(-92). Factor -u*g - 18\/5*g**2 + 3*g**3 - 3\/5*g**4 + 24\/5.\nAnswer: -3*(g - 2)**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-24))\/(27\/36). Let g be 6\/10 + 66\/15. Suppose k = -g*m - 18, -2*k = -3*m + 4*m. Which is the nearest to 0? (a) m (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 2. Let z = -10 - -10. Let y be r(z). What is the third derivative of 4*b**3 - 2*b**3 - 13*b**y + 23*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -98.7. Let w = 0.04 + 4.96. Let l = w + -3. What is the third smallest value in -1\/11, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13226861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a3698 (base 11) to base 15\nAnswer: 2ec26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6984 + -97773\/14. Which is the smallest value? (a) -0.05 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*n**4 + n**4 + 2*n**3 - 2*n + 0*n**4 - 12*n**2 - n**4 in the form w*n**2 + d*n + c + h*n**3 + j*n**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -35408 != -389486\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 4 (b) 1 (c) 0.3 (d) -1970\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160 + -120 + (-51 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from gvvegegegvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by 198.\nAnswer: 217\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (3 - 0) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*z - h = -23, -3*z - h + 27 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - m**2 + 2*m - 1. Let h(k) = -7*k**3 - 8*k**2 - 12*k + 24. Let y(x) = h(x) + 4*t(x). Let b be y(11). What is b rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/11584125 and 123\/294200.\nAnswer: 92673000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18)\/(-4))\/((-18)\/(-888))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*x**2 + 1 - 13*x**2 - 301*x - 65*x**2 - 1 wrt x.\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2\/15, 0.1, -0.048, 0?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3201, 4\/7, -0.76?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3. Let y(w) = 235*w**3 - 452*w**3 + 221*w**3. Determine -6*y(p) + 7*z(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*c - 53, -3*c = 3*i - i - 7. Suppose i*b = 6*b + 20. Solve 8 = -b*u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 85. Let x be f(0). Suppose -3*q - 7 = -x. Let t = 32 + -25. What is the remainder when q is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -192*j**2 + 20*j - 47. Let n(h) = 38*h**2 - 4*h + 9. What is -11*n(x) - 2*v(x)?\nAnswer: -34*x**2 + 4*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 354835\/53 + (-7 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slppwppllpspspslpl. Give prob of sequence sp.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19a7 (base 13) to base 16.\nAnswer: -f0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, a: 3, r: 7, f: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n**3 - 2*n + 1. Let o(v) = 111*v**3 - 9*v + 4. What is -2*o(x) + 9*q(x)?\nAnswer: 30*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -11 + (10 - 20) + 31.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17810*y + 621*y**3 + 35620*y - 17810*y.\nAnswer: 621*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*1\/(18\/48). Let q be (-2)\/(-6) + 4\/(r\/(-22)). Solve -q*a + 5*a + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*-6 + -61 + 19?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 11584, 5 in increasing order.\nAnswer: -5, -2, 5, 11584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36983841 to the nearest integer?\nAnswer: 6081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 + 171*y\/5 - 108.\nAnswer: 3*(y - 3)*(y + 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7883 = 3*o + 7874 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let z(b) = -7*b - 7. Let l(r) = -39*v(r) + 6*z(r). Let j(x) = -x - 1. What is -7*j(f) + 2*l(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 112\/12 + (-3)\/9. Suppose -1193 = -q*o + 1381. Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x - 11. Let g(v) = 24*v - 17. Suppose 0 = 5*a + 3*n - 16, -2*a + 5*n - 4*n + 24 = 0. Determine a*p(m) - 5*g(m).\nAnswer: 8*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 9. Suppose -a + 3*a = 5*r + 5, a + 4*r + 17 = 0. Let g(j) be the first derivative of j**2 + 14*j - 10. Let u(q) = a*g(q) + 8*f(q). What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156 is divided by 648.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171010 by 2.\nAnswer: -85505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 1098, 1099, 1084, 1047, 982?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*455\/(-65)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/787?\nAnswer: -3\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 77. Suppose 0 = -3*h + x*g - 40, 3*g - 38 = 4*h + 6. Let u(w) = -w**2 - 6*w + 18. Let q be u(h). Solve 3*o = r, -q*r = -2*o - 2*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - (1255 + -1304)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9527094 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 11442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 49 - 64 = -463 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*-2)\/(6 - (-82)\/(-14)). Let s be (c\/10 - -3) + (-64)\/20. Is s at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 193, 68, -175, -542, -1039, -1672?\nAnswer: -2447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 5:49 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*y - 3755 + 899. Is (-177718)\/y*2*7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*b. Suppose 0 = -3*s + b*s - 2*h + 30, 3*h = -4*s + 110. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 199*t - 199*t - 15*t**2. Let x(r) = -33*r**2 + 7*r. Let g(u) = 22*u**2 - 5*u. Let j(y) = 7*g(y) + 5*x(y). Determine j(s(i)).\nAnswer: -2475*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14 - 8*f**2 - 5*f + 6*f**3 - 7*f**3 - 5*f. Let v be c(-6). Suppose v*n + 8 - 16 = 0. Solve -7 = -5*g - 2, n*g - 12 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1043083*g**5 - 2*g**2 + 345*g + 359 wrt g?\nAnswer: -62584980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 60. Suppose 0*s = -4*s - 5*d - 132, 0 = 2*s + d + 72. Let g be (s\/6)\/((-4)\/y). Solve -4*h - 3 = -g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754443471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 3*y**2 + 16*y - 18*y to u + o*y**2 + v*y and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/6 + 130*m**3 + 1326*m. Find r, given that p(r) = 0.\nAnswer: -390, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2)*(-35)\/(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-14)\/(-10)))\/((-771)\/10794)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -6*y - 10*s, -720*y + 3*s = -725*y + 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-4))\/((-4)\/16). Let x be 1\/2 - q\/(-22). What is the third smallest value in -1\/4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122297.\nAnswer: 7, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-4))\/(5*(-3)\/30).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 5 (c) -0.4 (d) -123 (e) -5.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 3*n - 9. Let h be ((-40)\/(-8))\/(-4 - -3). What is the units digit of q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 12*p**2. Let n(u) = u**2 + u + 1. Let o(z) = z**2 + 3*z + 3. Let x(k) = -3*n(k) + o(k). Determine s(x(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 1021720?\nAnswer: 2043440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**2 - 315 + 40*x**2 + 678 - 10*x**2 - 363 + 7*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 596163, 1192335, 1788507, 2384679, 2980851, 3577023?\n\"Answer: 596172*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1023, 3866, 8603, 15234, 23759, 34178, 46491?\n\"Answer: 947*n**2 + 2*n + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1543, 5201, 11299, 19837, 30815, 44233, 60091?\nAnswer: 78389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:35 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*u + 5*u + 8, -3*p = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + ((-3132)\/(-102))\/(-6). Which is the smallest value? (a) -3\/2 (b) w (c) 8 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 13) to base 8.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 606117 and 1673832?\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Suppose -n = -4*z + 16, -15 = -3*n - 2*n + z. Solve -w = -n*t - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**2 - 456*d - 8640 = 0?\nAnswer: -90, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.491 + 13.391. Which is the nearest to 0.1? (a) -0.2 (b) 2 (c) 36 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:55 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*n - 100*n - 9268 = -5*v, 4*n - 4*v = 9304. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -368.79 and -5721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250827 is divided by 165?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n + 91*n + 2*n - 1792 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 + 692*t - 81. Give k(-77).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuv. What is prob of picking 1 v and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -48, -105, -184, -285?\n\"Answer: -11*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1155215 (base 6) to base 4\nAnswer: -33021323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**3 + h**2)*(-562*h - 273*h + 154*h).\nAnswer: -681*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 29*w + 138 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828815 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:40 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-7) + 1\/(42\/276). Let b be (3 - 2)\/((f\/10)\/3). Solve 0 = -2*h - b*s + 26, -3*h - 2*s + 25 = 2*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 765 - 764.9999853. Round m to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + (61 - 59).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 533 - 4*u - 84 + 15*u - 424. Let y(c) = -c**2. Give y(z(l)).\nAnswer: -121*l**2 - 550*l - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195508918 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: What is the next term in -4511, -3336, -2161, -986, 189, 1364?\nAnswer: 2539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 61. Let s(o) = 2*o - 29. Determine g(s(n)).\nAnswer: 8*n**2 - 232*n + 1621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.6. Suppose -460 + 142 = -s - 3*v, -5*s = 2*v - 1538. Let d = s - 312. What is the smallest value in -3, d, l, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35880277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 340 - 192 = -4*q - 672, 0 = -4*q - 20 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 267\/5 + 8\/(-20). Suppose -p = -5*z + 22. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)\/(2\/(-106)). Let a = -34 - q. Suppose 0 = -5*b + a + 61. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54454 is divided by 10869?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*r - 4*d, r - 2*d - 8 = -0*d. Let x(s) = -s**3 - 7*s**2 + 9*s + 6. Let a be x(-8). Let h = r + a. Is h greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -38*o + 41*o. What is the remainder when 257 is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 3, e: 5, d: 1, a: 1, i: 1}. Give prob of sequence aild.\nAnswer: 1\/11880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 20. Let c be 0 + (42 - (-2)\/(-1)). Calculate the greatest common factor of q and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7820396 is divided by 371?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80823855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101221002122122 (base 3) to base 4.\nAnswer: 112022010203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:37 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12 - ((-78)\/18 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6865038 and 84693?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 607.3 (b) -2\/9 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from bfbbbbffbbffb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 = v + 235 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) -2\/5 (c) -11\/15 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:05 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.606344 to 2 dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 0*v**2 + v**2)*(961 + 1197 - 564).\nAnswer: -3188*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 3*a + 4*a + 0*a. Let u(q) = -q**3 - q**2 + q + 1. Let m(z) = l(z) - u(z). Let h(s) = 2*s**3 - 2*s**2 + 2*s - 1. Let p be h(1). What is m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21973 + -21971. Let 832\/7*y**o + 14*y**5 + 0 + 256\/7*y + 74*y**4 + 996\/7*y**3 = 0. Calculate y.\nAnswer: -2, -8\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7277*t**2 - 7 + 0 + 2*t + 7 - 3266*t**2.\nAnswer: -10543*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.2 at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8721 and 1530?\nAnswer: 87210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*t = -70 + 78, -3*q = -3*t + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 32129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276288891 rounded to the nearest 100000?\nAnswer: 1276300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amfuufamf. What is prob of picking 1 u, 1 f, and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/1 + 631\/9. Let m = v - 72. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1551226 rounded to 3 dps?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -1*(2*sqrt(95) + sqrt(95)) + -2*(sqrt(95) + sqrt(95)*1))\/(-5*(sqrt(245) + (sqrt(245) - (sqrt(245)*2 + sqrt(245) + sqrt(245))))) + 4.\nAnswer: -3*sqrt(19)\/35 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 648*n - 13734. Determine i(25).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0. Let w = 534835\/3 - 178279. What is the nearest to w in -4, 10, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 - 2. Let i be r(-2). Let j(c) = -c + 1. Let u(v) = 10*v - 4*v + 0*v + 1 - v - 5. Calculate i*j(l) + 4*u(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -5, 30, 101, 220, 399, 650?\n\"Answer: 2*j**3 - 3*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + (46 - 57).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 5097358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 5*l**2 + 3*l - 9. Give n(-4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46110 and -712819.\nAnswer: -758929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from {x: 2, r: 4, d: 1, y: 3, u: 1, h: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) 0.05 (d) 3\/7 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 498753 - 498882.99695. Let r = -130 - l. What is r rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/134, -2.9, -1\/8, 3\/4.\nAnswer: -2.9, -1\/8, 3\/134, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose w*k - 15 + 0 = 0. Suppose 0 = 4*n - 4*u - 28, -k*n - 4*u + 44 = -0*u. What is the least common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = j. Let o(x) = 7*x - 17. Let l be (36\/42)\/(1 + (-10)\/14). Let n be o(l). Solve -n*u - 1 - j = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 2*j - 4*j)*(-5 + 4 + 0)*(-608 + 608 - j) as i*j**2 + q*j + g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 2*x**2 + 4*x**2 + 4*x**2 - 6*x**2 + 0*x**2 + (-2*x + 2*x + 2*x)*(2 - 2 - 2*x) + 4*x**2 + x**2 - 4*x**2 as u*x**2 + p*x + h and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from zzzczzvssvcvvcnv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w - 6*w - 66*w = -468 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, l: 5, j: 5, t: 2}. Give prob of sequence fj.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -3.8. Let f = k - 1. Let r = 22 - 21.6. Which is the third biggest value? (a) 5 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 + 0*m + 0*m**4 + 1\/490*m**7 + 5*m**2 + 0*m**3 + 3\/140*m**5 + 1\/784*m**8 - 1\/56*m**6. Find v, given that l(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -16\/3 - 52\/3*d - 26\/3*d**2 + 10\/3*d**3 = 0.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1\/2, 34\/7, 11, -2, -2\/11, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21337743626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4010864 = -2*x + 13810864. Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:24 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*32\/(-10032)*-19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762645 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-132) - (-10)\/(-120)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/770 and 141\/8750.\nAnswer: 96250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 2520828*d + 2520828*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + x = -x + 18, 4*r + 3*x = -41. Suppose 0 = -5*p - 4*m + 15, -p - m - 1 = -4. Suppose 0 = -4*q - p*w - 20, -3*w + 8 = -2*q - 5*w. Is r <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135841 is divided by 865?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-33) + 0)*-1. Let r be (-14)\/105*10\/(-3). What is the closest to l in -0.3, r, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2. Let r be x(1). Suppose 2*n = -r*n - 4. What is the closest to 2\/3 in -1\/4, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 28 - (1 + -2) - 0 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5460)\/585*6\/8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 8, 2\/5, 2\/9 in decreasing order.\nAnswer: 8, 6, 2\/5, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*i + v + 131, 5*i - 2*v = 131. Let r = i - 22. Let y be 2 + 0 + 0\/r. Solve k = y - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*v + 174*v - 172*v to the form a + q*v and give q.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 35. Let m = -0.32 - -0.02. Let x = 0.7 - 0.5. Which is the closest to x? (a) q (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -649828825?\nAnswer: 649828826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -40*w**2 - 2*w + 1. Let d(g) = -160*g**2 - 9*g + 3. Let s(v) = -9*c(v) + 2*d(v). Differentiate s(o) with respect to o.\nAnswer: 80*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 6*a**2 + 7*a - 5. Let s(o) = o**3 - 5*o**2 + 2*o - 5. Let b = -10 + 15. Let x be s(b). What is the remainder when 14 is divided by j(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18692962 and 510.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/2)*a)\/a*a)**(-3\/10))**(-8\/3)*((a\/(a*a*a**(-2\/3)\/a*a))\/a*((a**(-4)*a)\/a)\/a)**(-8\/9) assuming a is positive.\nAnswer: a**(922\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 110.2. What is the second smallest value in -2, 5, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -910161 + 11*q**2 + 910161.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 134, 147, 164, 185, 210, 239?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3813224, 7626504, 11439784, 15253064?\nAnswer: 19066344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2589, -5180, -7761, -10326, -12869?\nAnswer: -15384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*r + 7, 0*r = -o + 5*r. Let d(a) be the third derivative of -1\/18*a**3 + 0*a + 1\/24*a**4 + 0 - 1\/60*a**o + 2*a**2 + 1\/360*a**6. Factor d(n).\nAnswer: (n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 166*z - 165*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/15 - 8*l**2. Let x = -12 - -14. Let c(z) = -2*z + 4*z - x*z + 2*z. What is c(o(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-56)*18)\/((-3450)\/(-4025))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.600923 to 1 decimal place.\nAnswer: -49.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -42*g + 2. Let h(q) = -380*q + 31. Let f(k) = 18*d(k) - 2*h(k). Let w(i) = -2*i**2. Give f(w(l)).\nAnswer: -8*l**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6482 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: Let z(g) = -3*g - 5. Let h(x) = 183*x**2 + 37. Determine h(z(i)).\nAnswer: 1647*i**2 + 5490*i + 4612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2. Let v(w) = 5 + 5 + 13*w - 10 - 2*w**2. Give v(r(k)).\nAnswer: -8*k**4 - 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2941 * 7729.\nAnswer: 2273.0989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10)*10*(-16)\/(-120)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 14*i**2 - 30*i - 161. Suppose -13 = 4*y - m + 34, -4*y - 72 = 4*m. What is the remainder when 177 is divided by x(y)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Let u(a) = 2*a**3 - 2*a**2 + 2. Calculate the remainder when 118 is divided by u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 114 = -122 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 1\/127, -2\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faffuuu. Give prob of sequence uff.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddyyyy. Give prob of sequence yd.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 48*r - 275. What is the units digit of f(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5145 + 5144.7. Let g = -30 + 33. Which is the smallest value? (a) 0.01 (b) j (c) g (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 184?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 14*y**2 - 71*y + 20. Determine h(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -0.2 (c) 3638 (d) -4 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 823*s**3\/5 + 996*s**2 + 4367*s\/5 + 42.\nAnswer: (s + 1)*(s + 5)*(823*s + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-20)*6\/((-24)\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2682, -2684, -2688, -2694, -2702, -2712, -2724?\n\"Answer: -i**2 + i - 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -2.5. Let o = z + 0.5. Which is the nearest to -1? (a) 5 (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2595)\/(-2585) - 1\/1. Let p = h + -1052\/4653. Is p at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)\/i)**(-24)\/(i**(1\/2)\/(i\/((i**7*i*i)\/i*i))))\/(i*(i**(-3)*i)\/i*i*i**(-2\/23)*(i\/(i*i**0))**(-31)) assuming i is positive.\nAnswer: i**(1499\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hekmw. Give prob of sequence mh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let t = p + -0.2. Let u = 1158 + -1158.4. What is the closest to t in -0.3, u, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -4056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3920*h**4 - 18743 with respect to h.\nAnswer: 15680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01363458203 to five decimal places.\nAnswer: -0.01363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 16. Let x be v(-6). Let o be -2 + (-2 - x) + -4. Suppose 5*y = r - o + 12, -2*y - 9 = -3*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (-60)\/(-25). Let y(u) = 2*u**q - 4 - u + 1 - 3*u. Does 6 divide y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 161350101 - -14?\nAnswer: 161350115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 404123.6 litres?\nAnswer: 404123600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 456720 divided by -38060\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 831*h - 10187. Calculate l(12).\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281595902 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 1176*v**3 + 13680*v**2.\nAnswer: 3*v**2*(v - 380)*(v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2. Let w(b) = 4*b**2 - 5. Let i(a) = 2*a**2 - 2. Let t(q) = 5*i(q) - 2*w(q). Give u(t(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 182571, 5, 2 in decreasing order.\nAnswer: 182571, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0097841 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -936, 222, 6, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023 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: Let h = 5\/36 - -1\/12. Find k, given that -10\/9*k**3 + 2*k**2 + h*k**4 - 14\/9*k + 4\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**4 - 1114*z**3 - 314382*z**2 + 847242*z + 317304 = 0.\nAnswer: -156, -1\/3, 3, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 10*w**2 - 11*w + 1. Let x(f) = -f**3 - 10*f**2 - 12*f + 1. Let q(l) = 3*g(l) - 2*x(l). Give q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-30) + (-1)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, a: 6, j: 1, w: 2, t: 3}. Give prob of picking 1 a and 3 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003353 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/4*-4. Suppose 4*w + 26 = 2*n, k*n - 44 = -4*w + 2*w. Suppose -b - b + x + 8 = 0, 5*b - 2*x - n = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtnupctnpccppt. Give prob of sequence pnut.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174*a = 359*a + 2247*a - 25014 - 43026. Suppose 0*d = 3*d - 135. What is the lowest common multiple of d and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -5829?\nAnswer: -5829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-4)\/sqrt(3))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -411e (base 16) to base 15\nAnswer: -4e15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - -2*sqrt(110))*6)\/(sqrt(10) + sqrt(640)*-1).\nAnswer: -18*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(22)\/sqrt(2)*4)*5 - (-5 + (2 + sqrt(44) - sqrt(11)) + 0)) + -3)**2.\nAnswer: -570*sqrt(11) + 4196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -125*v**2 + 50996*v + 1644. Give l(408).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*o*s + 256*d**4*o + 2*d**3*s - d**2*o - 7*d*o*s + 3*o*s wrt d?\nAnswer: 48*d*o*s + 6144*d*o + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2*30\/24)\/(-5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -6270*h + 6268*h + 26, -19*l + 36 = -3*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(0 + sqrt(2299)) + -1*sqrt(475)*-1)**2 + 4.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, 1 w, and 1 z when four letters picked without replacement from skzwf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/r**(-16)*r**19\/r assuming r is positive.\nAnswer: r**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*y + 2523104*m**3 - 10*m**2 + m*y - 41661 wrt m?\nAnswer: 12*y + 15138624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -141, -185, -193, -153, -53?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-6)\/(-30) - (0 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (0 - -28) + 713 + -714.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3*b**6\/80 - 11*b**5\/40 - 5*b**4\/6 - 4*b**3\/3 - 103*b**2\/2 - 123. Let m(x) be the second derivative of f(x). Factor m(d).\nAnswer: -(d + 1)*(3*d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3940813688 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 370019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4949086 to the power of 1\/2, to the nearest integer?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 5*o - 4. Let j(i) = 11*i**2 + 9*i + 7. Let u(a) = 5*d(a) + 3*j(a). Let y = 104 + -100. What is the remainder when u(-1) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 22*t - 1086. Calculate j(45).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 4. Let b(g) = 6*g**2 - 11. Let v(r) = -11*a(r) - 4*b(r). Let s(p) = -7*p - 3. Determine v(s(x)).\nAnswer: -98*x**2 - 84*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -15 + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -19. Let u = -1.12 - 7.88. Let d = u - g. Is d < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*o - 82*o + 198*o + 174*o - 137*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -56*z - 31. Suppose 3*q - 5*n + 20 = 2, -n = -2*q - 12. What is the units digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 181, 278, 439, 664, 953, 1306?\n\"Answer: 32*r**2 + r + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 669371 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.875 minus -822953564?\nAnswer: 822953562.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 2*j**2 + 3*j + 3. Determine y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166*y**2 - 221*y**2 - 5808 + 1382195*y + 3*y**3 - 1379243*y.\nAnswer: 3*(y - 121)*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = 10*m - 16038. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24093, -24092, -24091, -24090, -24089, -24088?\nAnswer: -24087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314870 is divided by 6093.\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2932, 5097, 7262, 9427, 11592?\n\"Answer: 2165*t + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + 50. Let w(f) = -3*f - 17. Let y(o) = -4*v(o) - 11*w(o). Let m be y(8). Let l be 4*m*3\/(-4). Solve -2*r + l = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*y**3 - 11*b**2*y - 65*b*y**3 - 3*y + 2 wrt y?\nAnswer: 12*b**2*y - 390*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*d + 2*x + 10 = -402*d, 15 = -4*d + 3*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Suppose 0 - 11 = -5*a + r, 5*r - u = -3*a. Let c be -2 + a + -2 - -2. Solve 2*i + 5*w - 25 = c, -3*i - 2*w = w - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32228548 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29675085.\nAnswer: 3, 5, 11, 179849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 13*w - 4*w)*(3*w - 2*w + 2*w)*(8*w - 9*w + 12*w).\nAnswer: 330*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171)*4 - sqrt(171)) - sqrt(171)*1*-1)\/(sqrt(1296)*-4 + sqrt(9) + sqrt(729)*-3).\nAnswer: sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.132013 hours in milliseconds?\nAnswer: 29275246.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**2 - 3*y - 6. Let x(c) = -30*c**2 + 6*c + 13. Let p(n) = 13*b(n) + 6*x(n). Let j(q) = -q**2 + 2*q. Determine 7*j(a) + 5*p(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27096*u = 27088*u + 160 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6*y + 670785*d**4*y**3 + 5*d**2*y**3 - 6*d**2 - 43*d*y**2 + d + 687*y**3 wrt d.\nAnswer: 120*d**3*y + 16098840*d*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -385 + 1962?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27260 is divided by 262.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, a: 12, d: 1}. Give prob of picking 4 a.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 - 190 = -23*n + 267 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -8283.\nAnswer: -4\/8283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9131 = -4*d, 1914 + 13296 = 5*y - 5*d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + k**3 + 4 - 8*k**3 - 1 + 3*k to w + f*k**2 + i*k + d*k**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05874*-5.47.\nAnswer: -0.3213078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27725.796 rounded to the nearest one hundred?\nAnswer: 27700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.402 to one dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863958 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-9))\/((-2)\/12). Suppose -t + 47 = 7*f - 12*f, 0 = -3*f + 2*t - 24. Let a be (-12)\/f*5 - 3. Solve 2*c = -m*v - 2, -4*v - c - a - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1820*r**3 - 4145*r**3 + 2322*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89383.1mg to kilograms.\nAnswer: 0.0893831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 7594 + 15185 - 7591 - 4*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - -2 - (5 + -80)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-2 - sqrt(576))\/(1*sqrt(192)) - (sqrt(36) + (-6*sqrt(324) - sqrt(36)))\/(-5*sqrt(12)*2).\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26, -20, -5, -1 in descending order.\nAnswer: 2, -1, -5, -20, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 0, -2*o + 0*d - 3*d = -17. Suppose -3 - 12 = 3*l + o*h, l + 5 = 2*h. Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12342417 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 10:04 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y + 441 = -112*y - 315 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12888.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let z = -0.99999996 + h. Round z to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1000)\/(-300)*(-12)\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*x - 240 + 4304 = -4654 + 2254 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -15. Suppose n = 2*x - 62. Let l be 185\/x - 2\/7. Solve -6*g + l*g - 3 = 0, -5*w + 4*g = -17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/(-7))\/3)\/(10\/185*(-120)\/(-48))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(5586\/(-1659)) - (-2)\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2 + 2 + (-z + 7*z + 0*z)*(-8 + 5 - 2).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 161*k + 1412. Determine z(44).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5342058 is divided by 76315.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from yiwdwaay.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 4*m, 3*c + 4*m = -2*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16.1 (b) 58001 (c) 1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.13635 minutes to hours.\nAnswer: 0.9022725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 2\/5 (c) -0.03 (d) 1\/4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/11*k + 26*k**2 + 9\/11*k**4 + 25\/11 + 96\/11*k**3.\nAnswer: (k + 5)**2*(3*k + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59294 times 0.1151\nAnswer: -6824.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.6. Let j = z + -0.398. Round j to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -31, -5 in ascending order.\nAnswer: -31, -5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m**2 - 5*m. Let n(h) = h**3 - h**2 + h. What is -c(f) - 4*n(f)?\nAnswer: -3*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002456 to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*c + 65 = -40, 4*y + 2*c - 110 = 0. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 5*j - j + 2*j. Let p be 6*(0 + -1 + 0). Let s(l) = 4*l. Give p*v(z) + 13*s(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/3))**(-30)\/(y*y*y*(y\/y**(2\/11))\/y*y*y*y**(-3\/8)*y)*((y\/(y\/(y\/(y*y**(-2\/7)\/y))))\/y)\/(y**3\/y)*y**(2\/13)\/(y*y**(1\/2)) assuming y is positive.\nAnswer: y**(-388417\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278094018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q + 12*q + 6*q + 4*q + 6*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 0.3 (c) 0 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-6)*w*w**(-1\/5))\/(w**(6\/7)\/(w\/(w\/w**(-4))*w)))**(-46) assuming w is positive.\nAnswer: w**(11362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) 1\/10 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4\/4 + 590145*x**3\/4 - 590195*x**2\/4 - 5311305*x\/4 + 2655675\/2 = 0. What is x?\nAnswer: -118030, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k - 533. Let c be b(34). Let a = 16 - 9. Suppose -2*t - c = -a*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 2.6. Let u = -22 - -108\/5. What is the closest to l in 2\/11, u, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163994, -4, -2, 5.\nAnswer: -4, -2, 5, 163994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1912, 3825, 5738, 7651, 9564?\nAnswer: 11477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.07238 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 544 + 3?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100 divided by 1700?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33690887 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60177642.\nAnswer: 2, 3, 7, 1432801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21856, 21855, 21854, 21853, 21852, 21851?\nAnswer: 21850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 114 = 89. What is the remainder when 53 is divided by (-9 - p)\/((-1)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 88946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - -1*82 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7416 + 163105\/22. Calculate the common denominator of 1 - ((-202)\/(-20) - -2) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/5 and 73\/3540.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610173761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjjjoq. Give prob of sequence qjoq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -2\/67 (c) -25 (d) 5 (e) 13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 12, -6*l + 3*l - v + 6 = 0. Suppose -l*r = r - 356. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 1. Let l be y(1). Suppose -24 = -0*u - l*u. Calculate the smallest common multiple of u and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g + g)*(7 - 3 + 3)*(2*g**2 + 0*g + 0*g) - 2*g**4 - 3*g**4 + 6*g**4.\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 a, and 1 n when four letters picked without replacement from {a: 2, n: 1, u: 13, i: 1}.\nAnswer: 39\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 286447*r - 2291684. Determine g(8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658619 and 5278.\nAnswer: 9220666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12 and (-8)\/(-36)*477\/(-132).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 882 and 2198?\nAnswer: 138474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 i when four letters picked without replacement from {i: 3, t: 15}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13354.\nAnswer: 2, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnhnhj. Give prob of sequence jnnj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/385 + 12 + (-1162)\/98.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, -159, -875, -2273, -4581, -8027, -12839?\nAnswer: -19245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35d117 (base 14) to base 9.\nAnswer: 3415875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-20)\/(-1 + 5) - 29\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 8:46 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s. Let n(f) = 25100*f**2 - 600*f - 10800. Let g(y) = -293*y**2 + 7*y + 126. Let z(d) = 600*g(d) + 7*n(d). What is v(z(u))?\nAnswer: -400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i - 2*y - 2, -y = i. Let l = 7 - 9. Is (-49)\/i*-14 + l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 476, 477, 478?\n\"Answer: r + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + 1.15. Let q be 1\/(-2) - (-10)\/8. Let u = 15 + -13. What is the nearest to q in 5, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2 - (-3024)\/(-513)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, m: 2, q: 3}. Give prob of sequence qg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 23*t**2 + 10*t + 15. Determine a(-3).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (13\/13)\/(5\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 9*f + 12. Let h be z(9). Let i(m) = 23*m**3 - m. What is the remainder when i(1) is divided by 104\/h + 2\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -211*p + 613. Calculate s(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + u**3 - u**3)*(-2*u + u + 0*u) + 7*u**4 - u**5 - 7*u**4 - 3*u**5 - 2*u**3 + 2*u**3.\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 10*d + 2*d - 2*d**2 + 5*d - 22*d. Determine z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/((sqrt(3) + 2*sqrt(3) + sqrt(3))*2))**2 + 2 - ((sqrt(133)\/(sqrt(28)\/sqrt(4) + sqrt(7)))**2 + -5)*5.\nAnswer: 227\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d - 83*d = 5*w - 30, w = 2*d + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 7*s**2 - 14*s - 47. Give v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.8 + -5. Which is the closest to 1? (a) 3 (b) -3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u = 32*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 + 40*m + 10. Let c(f) = -7*f**2 + 44*f + 8. Let b(i) = -5*c(i) + 4*z(i). Let k(s) = -20*s**2. Give b(k(q)).\nAnswer: -400*q**4 + 1200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 11) to base 6.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + t + 16 = -4, -2*v - 3*t = 5. Find the third derivative of -4*a**2 + a - 26*a**5 - 29*a**v + 8 - a wrt a.\nAnswer: -3300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -18 + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0461 * 1\nAnswer: 0.0461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37806, 75634, 113460, 151284, 189106, 226926, 264744?\n\"Answer: -v**2 + 37831*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*1*sqrt(784) + sqrt(784))\/(sqrt(112)*-4*6))**2.\nAnswer: sqrt(7)\/2 + 263\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 27*f - 410 = 0. Suppose -3*j = p - 623, 0 = -2*j - 2*p - 0*p + f. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let p be w(-4). Suppose -y + p*y = 12. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2092 - 0.0092. What is the smallest value in k, 2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 226*g + 17 + 16 in the form l + k*g and give k.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407005*q**4 + q**3 + 6198042*q**2 wrt q?\nAnswer: 9768120*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1128 and 91556?\nAnswer: 549336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160873*m**3 - 16204*m**2 + 18 wrt m?\nAnswer: -965238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by -23 + (-21 - -39) - (-312)\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311915933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13803, 13751, 13601, 13311, 12839, 12143, 11181, 9911?\nAnswer: 8291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*o**2 + 103*o**2 + 102*o**3.\nAnswer: 102*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114933 + 7?\nAnswer: -114926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -s + 126, -35*s + 308 = -32*s + 4*p. Solve 705*a - 719*a + s = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -3*y**4\/2 + 1. Let o(q) = -q**3 + 6*q**2 - q + 7. Let v be o(6). Let i(p) = p**3. Give v*z(l) + 5*i(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -22*b + 4. Let v(i) = -i - 15. Let z be v(-16). Let k be o(z). Are -18 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**3\/3 - 5*p**2\/2 - 3*p. Let b be g(-7). Suppose 0 = -2*t + b - 1. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 11. Let d(y) = -y**2 - 16*y - 22. Let g be d(-14). Let s be u(g). Solve 22 = s*l - 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27477 divided by 129\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:24 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3558*z**3 - 2*z - 3556*z**3 + 7107*z**3 - 6 - z**2 + 2*z**4 to the form f*z**3 + p*z + x*z**4 + h + y*z**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0 + 101*i - 3 to k + x*i and give x.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -1\/4, -3\/16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1*(10 - 13). Let j(m) = m**3 + 10*m**2 + 6*m - 20. Give j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5 + 4)*-93. Let f = -65 + o. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(10) - (sqrt(90) + sqrt(10))))**2 + sqrt(27) + sqrt(27).\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19.4088 kilograms?\nAnswer: 19408.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 41470.\nAnswer: 41470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + -3102120?\nAnswer: -3102300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-8 + (1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from wwnnnewten.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3.46752\nAnswer: -3.46752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 5. Let m(b) = -b**3 + 3*b - 2. Let i(j) = -4*j**3 + 11*j - 8. Let r(q) = 6*i(q) - 22*m(q). Determine 5*r(w) - 4*t(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*8\/(-128)*8)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 4*o**2 + o. Let z be l(-3). Let j(d) = z*d - 12*d + 7*d. Suppose -3 = -2*p - 1. Let s(v) = 2*v. What is p*s(m) - j(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 9*q**2 + 5*q - 3. Let o be 2 + 0 + (-1 + -5 - -13). Let v be z(o). Let f = v - 37. Solve -a - 20 = -f*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(128) - (sqrt(128) + 4 + sqrt(128)))*-3 - sqrt(128))*-3*1 + 2)**2 + 3.\nAnswer: 3264*sqrt(2) + 5768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 + 2*y**3\/3 - y**2\/2 + 14. Let b be f(-2). Suppose -3*r = -3, 2*d + 3*r - 315 = -b*r. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -4698?\nAnswer: -469a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (10\/30)\/((-2)\/(-534)) is divided by 260\/15 - (-2)\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55315453248 + -57?\nAnswer: 55315453191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Suppose -9*c = -4*c - 60. Suppose -5*p + 4*t = -0 - 3, -2*t + 6 = 0. Solve 5*g - c = -2*y + 11, p*y - 17 = -o*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 5*u - 7. Let y be d(7). Let r = y - -2. Suppose 0 = -v - 2, 0*v + r = m + 2*v. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 993363.5 tonnes?\nAnswer: 993363500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*y**3 + 16833*y**2 + 748462*y + 23373.\nAnswer: (y + 49)*(y + 477)*(32*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002776 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10*s)\/s*s**(-1\/51)*(s\/s**(-1\/20))\/(s*s\/(s\/(s*s\/(s**(6\/17)\/s*s)))) assuming s is positive.\nAnswer: s**(-637\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -139*a - 1389. Give t(-12).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.253 + 0.147. Let p = r - 14.4. Put p, -5, -0.2 in descending order.\nAnswer: -0.2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/2)\/((-140)\/14)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83932037.\nAnswer: 7, 23, 521317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 8. Let z be f(12). Let x = -30 + z. Solve 0 = 5*w + x - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43034*y**4 + 43071*y**4 + 20*y**3 + 8521*y**2 - 86243*y**4 wrt y?\nAnswer: -3312*y + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(3 - 2*c**2 - 3) - 3*c**2 + 2*c**2 + 9*c**2 + (-2*c - 2*c + 6*c)*(-3*c + c - 5*c).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (456\/56 - 8) + (-60)\/(-21)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.122164 - -0.622164. Let t be 2 + (48\/7)\/(-3). Which is the third smallest value? (a) -1\/7 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(133) - -1*(sqrt(133) - sqrt(133)*-2))\/((sqrt(7) - sqrt(343))*6 + sqrt(28)\/(sqrt(12)\/sqrt(3))).\nAnswer: -3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/27 - ((-4)\/99 + (-20)\/110).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2339024 by -2.\nAnswer: 1169512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18928 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 4*w**2 - 5*w + 1. Suppose 12*h + 20*h = -224. Is m(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2654 + -0.0554. Let g = p + -7.21. What is the nearest to -11 in 1, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.5, -7.7, 3, -28, -3 in decreasing order.\nAnswer: 4, 3, 2, 0.5, -3, -7.7, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -33, -66, -109, -162, -225?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:17 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408518.8 centimeters in kilometers?\nAnswer: 4.085188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 92*n**3 - 1466*n**2 - 9384*n - 20808.\nAnswer: -2*(n + 6)**2*(n + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/17 - 286*d**2\/17 + 4920*d\/17 = 0.\nAnswer: 0, 20, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*s + 81 = 0, 0 = -5*d - 5*s - 44 - 31. What is the nearest to -1\/2 in d, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 46 = 4*a - 5*m, -3*a + 33 = -3*m. Differentiate a*r**4 - 402*r + 19*r**4 + 112 + 403*r with respect to r.\nAnswer: 112*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q. Suppose q = 2*s - 6*s. Suppose -5*g = -10 - s. Solve g*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u - 3. Let p = 21 + -14. Let l = p - 3. Calculate o(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -43b6420?\nAnswer: -43b641a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 10:58 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -27, -39, -49, -57?\n\"Answer: h**2 - 17*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12792 - -12791. Which is the closest to 50? (a) -0.3 (b) u (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -332, 3, -188, -5, 0.\nAnswer: -332, -188, -5, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -l + 4*l. Let k = -23 - -24. Let b be 0 - (0\/k - 5). Put b, 3, l in descending order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*h**2*i**3 - 15*h**2*i - 2*h*i**2 + 43*i**3 + 13*i**2 wrt h.\nAnswer: 302*i**3 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044.12 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 2.2 (c) 916\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 20. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*y + 1 - 3 = -2. Sort -3, -27, 5, y, -5 in decreasing order.\nAnswer: 5, y, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.82702 - -0.5\nAnswer: -8.32702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*12\/(-3808)*-4*2*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14201456 (base 8) in base 7?\nAnswer: 36205442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 25*a**2 + 28*a - 22. Let s be i(26). Let v = -6 + 8. List the prime factors of (v - 0)*s\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2, 3, 6 in ascending order.\nAnswer: -24, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*s = -26, -98*n + 195*n - 94*n + 5*s + 24 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 18, 65, 152, 291, 494, 773?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 - 2*q - 3. Suppose 4*j - 17 = 31. Let s be ((-9)\/j)\/(6\/(-16)). Suppose 3*u = 4*w + 3, -u - 15 = 6*w - s*w. Calculate o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by -6 + 35 + (1 - 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2082365 and 2082365 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3967*f - 355*f - 1048 = -1051*f + 12036 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/2 + 4256760*g**2 - 17027031*g\/2 + 4256757.\nAnswer: -3*(g - 2837838)*(g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 13938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = -1. Suppose p = -3*c + 15. Sort 3, c, 5 in decreasing order.\nAnswer: 5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 570*p**3 - 46598*p + 46406*p - 14 - 26 - 2*p**2 = 0.\nAnswer: -2\/5, -5\/19, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 25 = 851. List the prime factors of (u + 2)*120\/50.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019130 greater than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 divided by 36.\nAnswer: -565\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 - 5*p**2 - 3*p - 4. Let i be v(-8). Let k be 195\/6*44\/10. Calculate the greatest common divisor of i and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.103 + 8.903. Round z to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2330890 and 294190?\nAnswer: 30301570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*i**3*m**3 + 85*i**3 - 20187*i**2*m**3 - 24*i**2 - 125*i*m wrt m?\nAnswer: 174*i**3*m - 121122*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55 times -247.19\nAnswer: 13595.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 8*i**2 - 12*i + 13. Let a = 167 + -161. Let j be n(a). Solve 4*v - 3 = j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {p: 2, g: 2, e: 4, s: 2, w: 1, o: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -17*a - 7569. Let y(n) = 841 - a - 10*n**2. Let s(t) = -13*t. Give y(s(w)).\nAnswer: -1690*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3753, 3752, 3727, 3666, 3557, 3388, 3147, 2822?\n\"Answer: -2*f**3 + 13*f + 3742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -9. Is (82*w)\/3 - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1616*i - 31923. Give h(20).\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -649\/449 - -1985188\/9429. Let m = -209 + o. Let c be 3 - (-4 - (-59)\/8). What is the biggest value in -0.2, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/102*(-81)\/6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 2946 - 2739 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(56)\/(sqrt(448) - sqrt(7))) - (sqrt(60)*-2*5)\/sqrt(12).\nAnswer: 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/66 and -39\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -9 - (22 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17458 is divided by 2192.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k**(-6))\/(k**(1\/3))**(9\/8) assuming k is positive.\nAnswer: k**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9685741*z**2 + 17089313*z**2 - 54160500*z**2 - 57965574*z**2.\nAnswer: -85351020*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*h + 31 = -h, 4*r = h + 21. Let k = 0.086 - -3.914. Is k smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*w - 514*w + 763*w.\nAnswer: 1093*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = -0*j, -3*w - 3*j + 6 = 0. Let v(l) = -l**2 + 0 + 0 + 6*l + 1. Give v(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183*50151.\nAnswer: -9177633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/14, 13, 2, 3\/25?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 7*x + 3. Let r be c(7). Let l(i) = 9*i - 9. Let w be l(9). Suppose n = -r*n + w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680235 * -2.75.\nAnswer: -1870646.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 3*p**5\/20 - p**4\/3 - 2*p**3\/3 + 2*p**2 + 35*p. Let i(f) = -f**3 + f**2 + f - 1. What is 4*i(s) + v(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.2, -8, 1, 1\/3 in decreasing order.\nAnswer: 19.2, 1, 1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*66.5\nAnswer: -6.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -8. Let i = -4 + u. Find the third derivative of 3*q**6 - 2*q**6 - q**2 + i*q**2 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 - 0) + 271. Suppose 75 = -5*i + l. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*1215\/(-27))\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 56*m**2 + 191 + 0 + 37 + 30*m**2.\nAnswer: -6*m**3 + 86*m**2 + 228","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 13 = -53 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 20564808\nAnswer: -1\/5141202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-219 - -204) + -14 + -1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + 5 - 5)*((2 - 2 - l)*(-l - 4 + 4) + l**2 - 3*l**2 + 5*l**2) as d + n*l**4 + z*l + m*l**3 + t*l**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62810534 rounded to the nearest ten thousand?\nAnswer: 62810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -3485 and -3479 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 2 - 2. Let a(q) = -q - 1. Let x(m) = -m**3 - 7*m**2 + 10*m + 12. Suppose 29*n = -5*n - 272. Let h be x(n). Determine h*f(k) - a(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7849038*w**2 + 6927471*w - 2.\nAnswer: 15698076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -98*v + 6183 - 6158 + 74*v + 3*v**2. Give f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50138430?\nAnswer: 2, 3, 5, 43, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 22*a + 33. Let s(f) = f. Give j(w) + 6*s(w).\nAnswer: 28*w + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**3 - 4*l**2 + 4*l**2 - 47.\nAnswer: -30*l**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 1\/2*w**2 + 4*w = 0 for w.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3*i**4 + 12 + (-i**3 - 3*i**3 + 3*i**3)*(i + 12 - 12) + 15*i**4 - 64*i**4 - 13*i**4 to the form d*i**4 + v*i**2 + f*i**3 + c + h*i and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(3*o + 0 + 0)*(787*o**3 + 448*o**3 + 782*o**3).\nAnswer: -6051*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18172532 and 13132.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(1 - 4*y - 1) + 3595*y + 3420*y - 1337*y to the form r + t*y and give t.\nAnswer: 5674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 768195 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1890058352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 2. Determine v(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l - 20 = -4*y, -4*y + 14 = -l. Let f = 0.86 - 0.9. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259 - -0.141237588?\nAnswer: 0.400237588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 8 - 10 + 18. Let d(i) = 18*i. Determine d(f(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 7*z = -11*z. Suppose z = -18*j - j + 57. Put -15, -3, 1, j in decreasing order.\nAnswer: j, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-14\/3)*b\/b**(2\/69)*(b*b**(-12))**43)**(-18\/7) assuming b is positive.\nAnswer: b**(28134\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1957158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*d**2 + c - 108*d**2 - 2*d - 56 wrt d.\nAnswer: 4*c - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1513 and 15219.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/6 - 2*r**2 + 19*r. Suppose -2*p + 10 = -n, p + p - 2 = 0. Let b be a(n). Solve l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1027 and 1029686.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1100001 (base 3) to base 7\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 177486*n**2 - 633*n - 2?\nAnswer: 354972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 80293 - 2*w**3 - 21*w**4 + 80245 - 160620 as t*w**3 + v + q*w**2 + a*w**4 + m*w and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.553021 rounded to zero decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-124)\/10. Let b(x) = 7 + 6*x - 1 - 7*x. Is 9 a factor of b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -63061*s + 126161. Calculate m(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15768, 31562, 47356, 63150, 78944, 94738?\n\"Answer: 15794*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 - 4*x + 1. Suppose -5*y - 4 - 11 = 0. Let l be v(y). Let w be 15\/21 - l\/(-14). Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 11*j**2 + 4*j - 4. Let o be u(-5). Let q be o*30*(-23)\/(-46). Factor -3\/5*c**2 - 6*c - q.\nAnswer: -3*(c + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -165*q**5\/2 - 6265*q**4 + 118685*q**3 + 11655360*q**2 - 24962605*q\/2 + 713605 = 0. Calculate q.\nAnswer: -59, 2\/33, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h + 2. Suppose 0 = -4*p - s, -5*p + 3*s - 12 = 5. Give r(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**2 + 3*p**2 + 27*p**2 + 3*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -87*j**3 + 3*j**2 + 2*j - 1. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245089177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*x - 2*z, 3*z - 28 = -2*x + 35. Suppose -s = 4*b + x, 0*s + 3*s = 0. Let j = 18 + b. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luul when four letters picked without replacement from lumullouvvlo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -41333.3 to the nearest 100.\nAnswer: -41300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, t: 2, j: 6, i: 2, x: 1}. What is prob of sequence ij?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 2\/13, 4 in ascending order.\nAnswer: -11, 2\/13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 46, -1, 8, -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7115 is divided by 127.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*d**2*v + 546*d**2 - 83*v + 419 wrt d.\nAnswer: -50*d*v + 1092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 26. Let o = 24.999945 + y. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-17) + 2274\/34. Let d = -49 + f. What is the remainder when 33 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(6)*-2)**2 + 2*sqrt(12) + -1 - ((-3*(sqrt(84) + sqrt(84)*1))\/(-5*(sqrt(28)\/sqrt(4) + sqrt(7))))**2.\nAnswer: 4*sqrt(3) + 1067\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h**2 + h + 1. Let f(j) = -j**2 + 1. Let q(w) = 4*f(w) - s(w). Let z(t) = 5*t**2 - t + 4. Give -3*q(i) + 2*z(i).\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 136.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -816.5 + 816.4. What is the nearest to g in -1\/3, 2, -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/5 - 120*k**3 - 4134*k**2\/5 + 10072*k\/5 - 5337\/5 = 0.\nAnswer: -593, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*b + 51*b - 755 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*f - 32790, 5*o - f - 32805 = 9*o. Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 4260 = 176*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13316933\/20 + 669083. Let x = 3234 - n. Calculate the common denominator of x and 2 + -5 + 375\/66.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -j - 16, 2*j + 59 - 47 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1011121022022002211?\nAnswer: 1011121022022002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/13))\/(l\/l**(-12)) assuming l is positive.\nAnswer: l**(-157\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1430 and 73\/9977253.\nAnswer: 99772530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 16. Let v = 3.4 + j. Let g = v - -0.9. Which is the third smallest value? (a) -0.03 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, f: 2, c: 4}. Give prob of sequence oo.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -45. Suppose 3*t + f = 78. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*p = 413219996, 4*h + 317982513 = -p - 232977488. Round h to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -932?\nAnswer: 177.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + j**2 - 1)*(-3 + 3 - 2) - 162*j**2 - 535*j**2 - 145*j**2.\nAnswer: -844*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/6)\/(a*a*a*a*a**(-21)) assuming a is positive.\nAnswer: a**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143638501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 57127825 to the nearest ten thousand.\nAnswer: 57130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - 5 + f**2 + 2*f**2 + f**2 to the form o + b*f**2 + v*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2337\/(-95))\/((-1)\/5). Is f - 6*8\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -42. Let n = a - 28. Let x = -68.99999947 - n. Round x to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318705228 to the power of 1\/2, to the nearest integer?\nAnswer: 17852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) + 145\/4. Suppose -22 = -q - 2*x + z, 4*q - 236 = -4*x. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:39 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1143527 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54262 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 + 1)*(206*g + 6 - 207*g + 0) in the form i*g + b and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 303942080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10405763595576 and 0.5.\nAnswer: -10405763595575.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.794 times 0.05?\nAnswer: -0.0897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + -1 - 284\/40 and 1\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 10. Suppose 10 = w*c, 4*t - 4*c + 0*c = 68. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476254556 a multiple of 7977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49773732?\nAnswer: 2, 3, 37, 112103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 7\/5 (c) 0.07 (d) -1\/95 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4816 and 45451?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7650 and 7\/403750.\nAnswer: 3633750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 294*k**4 + 91*k**4 + k**2 - k - 459*k**4 - k**3 to the form g*k**2 + o + q*k**4 + v*k + j*k**3 and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51128420 + -51128407.9999996. Let b = -264 - -252. Let w = b + y. What is w rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.2 less than -21?\nAnswer: -147.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2352 and 1488.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/80)\/7)\/(4\/(16\/4)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 6) in base 9?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.5956 milligrams to kilograms.\nAnswer: 0.0001335956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 155?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 303 - 958. Let l = z + 77. Let g be 9\/l + (-278)\/(-12). Calculate the greatest common divisor of g and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16436 = -413*b - 174*b. Calculate the highest common factor of 11228 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 times 3602.5\nAnswer: 15851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 + 0 = d, 5*d + 3 = -3*z. Let b(m) = 4*m + 21. Let g(p) = p + 5. Let n(h) = 2*b(h) - 9*g(h). What is n(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/15 - 2*w**2. Let y(d) be the first derivative of 4\/3*d**3 + 48 + 0*d + 0*d**2. Calculate n(y(f)).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-4))\/((-525)\/(-210))*-2)\/(-41)*-2?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*b + 1204 = 444*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*i + 8 = -134*i - l, -12 = 4*l. Let j(t) = 17*t**2 + t. What is j(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 1. Suppose -x*a + 71 = -2*z, 3*z = 5*z - 4. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1306*j**2 + 75*j**2 + 1 - 3.\nAnswer: 1381*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -5, 0.0718, 278.\nAnswer: -5, -2\/13, 0.0718, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.535 + 3.595. Let a = k - 0.13. Let u be 0\/(((-2)\/4)\/((-9)\/(-18))). Does u = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-616)\/((-2 - -4)\/(-2)). Suppose -l = -8*l + c. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3532990168+4\nAnswer: 3532990172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/4, 0.0407?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpppyddddyyuuddd. Give prob of picking 1 d and 1 y.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*y + 62 = 0, -g = 4*g - 3*y - 115. Suppose o - 15 = g. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - f**2)*(-343*f - 13*f**2 + 343*f) + 0*f**2 - f**4 + 0*f**2 + 5*f**4 - 5*f**4 - f**4 + 3*f - f**4 - 3*f.\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c + 814 + 888 - 3069 = -857 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 558 + -11722\/21. Suppose 18*k - 10 = -10. Is y less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 16.81. Let l = 0.31 - n. Which is the closest to 0? (a) 3 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 + -519. Let o(w) = -w**2 - 9*w + 5. Let p be o(n). Let v = -2 - -1.9. Which is the fourth biggest value? (a) p (b) 0.06 (c) v (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 23. Let s be y(8). Is 15 a factor of 1\/(s\/1 - 385\/390)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 14. Let f be p(-15). Suppose 2*t + 60 = -4*y, 4*y - 31 = 3*t + f. Let m = 19 + t. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l + 8. Let m(w) = -5*w - 9. Let r be (47\/(-141))\/(1\/(-18)). Let a be 7*(6 + 1 - r). Calculate a*n(t) + 6*m(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:50 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 184 (base 12) to base 9\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 + 11)*(0*r - 2*r - r).\nAnswer: -57*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from qeeeeaeeeee.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/11 - 5436*v\/11 - 3693762\/11 = 0.\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 2*s - 1. Let t be z(7). Let o = -22 - t. Suppose -o = -w - 0. 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: Let g(f) = -4052*f - 27891. Calculate g(-7).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 214800*m**2 + 2*m + 10. Let a = -17 - -12. Let v be z(a). Round v to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 34*p - 38. Let g be x(18). Let o = -4.5 + 5. Which is the closest to 1\/3? (a) -5 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*o - 5 = 0, o - 20 = -3*o. Let j = -1081 + 1086. Solve k = j*k + z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7 - 2 = 0. Let y(f) = -f - 1. What are the prime factors of y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.03 + 27. Let l = -0.5 - -0.3. Let s = l - 0. Which is the closest to 1\/2? (a) s (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.274 plus 137.78698?\nAnswer: 130.51298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.22 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 3*n + 41 - 50. Let x be m(-6). Does 25 divide (-20 - (x - 4))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - (6 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -9*w**5\/10 + 5*w**4\/2 - 38*w**2. What is the second derivative of i(v) wrt v?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073911408 to six dps.\nAnswer: -0.000739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*1*sqrt(300))**2 + 6*(2 + sqrt(300))*-2.\nAnswer: -280*sqrt(3) + 4780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-220)*(-6)\/(-16)*-2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-180)\/6)\/((-4)\/2). Let j = 30 - y. Solve 0 = -v, 3*z + 5*v + j = 3*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 27*h + 4. Let g(q) = -23*q - 3. Let y(r) = 6*g(r) + 5*i(r). Let a(m) = m - 1. Let w be a(5). Let v(c) = -8*c + 5. Calculate w*v(l) - 11*y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f + 1. Let x be l(3). Solve i - 4 - x = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/63 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**2*t**3 - 30*a**2*t**2 + 2*a**2*t + 7*a*t**3 - 88*a*t**2 + 99*a*t + a - 1650012*t**3 - 15*t**2 wrt t?\nAnswer: -36*a**2 + 42*a - 9900072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2816 divided by 256\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = 0, 0 = -2*z + z + 2*b + 7. Suppose 3*s = -r + 92, -3*s + 323 = r + 3*r. What is the highest common divisor of r and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.08 + -2.2. Let m = w - -3.2931. What is m rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*u + 2*u**3 + 26*u - 11*u - 2 - 2*u**3 + 4*u**3 to the form s*u**3 + v*u**2 + a*u + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.8 (b) 4 (c) -15\/16 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*j + 43 wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 21*n**2 + 20*n + 26. Let d = 329 - 309. Calculate the remainder when 87 is divided by b(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44869542.\nAnswer: 2, 3, 7478257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+11152680369\nAnswer: 11152680369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1711130 or -1711197?\nAnswer: -1711197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 123*t + 3255. Calculate the remainder when 488 is divided by m(-85).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13061586 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222949\/22 - -10132. Let y be -10859 - 0 - (-4 + 3 + 1). Let h = y + 152097\/14. Calculate the common denominator of c and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -15.91. Let f = z - 1.91. Which is the smallest value? (a) -3\/5 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166852023 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34789?\nAnswer: 19, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14992 (b) -0.1 (c) -1 (d) -0.3 (e) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moy when three letters picked without replacement from yisfsmo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 + -297. Let v = 91 + b. Let k = -8 + 12. What is the second biggest value in k, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8 - 6 + 5 - 6*l. Let s be j(-6). Calculate the greatest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4528113 by 18.\nAnswer: 1509371\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c + 26452 - 75*c**2 - 73*c + 37*c**2 + 45*c**2 - 26452.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775835 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -557830 divided by -26?\nAnswer: 21455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3337748*0.06\nAnswer: 200264.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3941.5 + 3941. Let s = -0.2 - -0.1. Let a = -0.2 - s. What is the closest to 0.8 in q, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 3, w: 6, f: 3}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + 2\/4. Suppose -4 - 4 = -4*p + 5*b, 0 = 4*p - 2*b - 8. Let t(g) = 6*g**n - g**p - 3*g**2. Let j(r) = -4*r. Calculate t(j(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose n + z*n - 70 = 0. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2218.593 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20894*g**2*m*r - 671*g**2 - 4*g*m*r**2 - 3*r**2 + 52 wrt m.\nAnswer: -20894*g**2*r - 4*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2404929 is divided by 171765?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30830 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = -44*m + 21448. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + (-1 - 3) - 1) - -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154031 and 7659.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23550089 is divided by 35736.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -9 - ((17 - 3) + -14 + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 19*n**4\/4 - 11*n + 11. What is the derivative of c(s) wrt s?\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9273.\nAnswer: 3, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11428541 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:22 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 250*q**2 + q + 8. Let h(r) = 250*r**2 + r + 7. Calculate 6*h(s) - 5*t(s).\nAnswer: 250*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*t + 3. Suppose -v + 2 = t. Calculate the remainder when 18 is divided by 8 - 6\/(v + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*d - 30*d - 218*d)*(-d**3 - d**3 + 3*d**3) + d**4 + 4*d**4 - 3*d**4 + (4*d**2 - 2*d**2 + 0*d**2)*(2*d**2 + 0*d**2 - d**2).\nAnswer: -535*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 62681+-19201429\nAnswer: -19138748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 837 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 8. Let w be c(-6). Let y(n) = 15*n**3 + n**2 - n - 1. Is y(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 13*k**5 - 914*k**4 + 7612*k**3 - 14242*k**2 + 9239*k - 1708 = 0.\nAnswer: 4\/13, 1, 7, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjojojvjjvjvo. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4 + sqrt(288) - sqrt(288)) + 4 - sqrt(288)).\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -3*n - 5*z, 4*z + 17486 - 17412 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23713 - 7239 - 18029 = -637*z - 8213 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhkhtkkthkhthkhkhh. Give prob of sequence kh.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (-1 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 37*q**2 - 5342. Let a(p) = 13*p**2 - 1781. Calculate -17*a(b) + 6*f(b).\nAnswer: b**2 - 1775","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 8. Let y be j(5). Suppose -y*r + 2*n + 74 = 4*n, -2*r + n + 61 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 + 119. Suppose -5*p = -3*o, -x*p + 11*o = 9*o + 4. Calculate the greatest common factor of p and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112734 is divided by 794.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + z - 3. Suppose -7*u = -3*u + 12. Let k be f(u). Solve k*y = -y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24214 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: Let j = 1661.9 + -1662. Let q = 3 + -3.1. What is the nearest to q in 2, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 1. Let r be v(2). Let c be (-105)\/r - 2\/(-6). Let h = -150436 + 150440. Solve -h = -k, f + 4*k = k + c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/1005, 0.9, -7\/27, 5?\nAnswer: -1\/1005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 866 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: (44 - (-70 - -129)) + 7 + -1 - -15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7 + 26 - 10*l - 3*l. Is r(-7) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 362440 = -23*r - 21*r. What are the prime factors of r?\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 41 = -3*x, 3*x - 59 = 5*f + 26. Let m be 1\/(1\/(-1 - -2)) - f. Solve -9 = -2*a - j, 4*j - m = 2*a - 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (484*x - 484*x - 42*x**3)*(-x**2 - 2*x**2 + 4*x**2) + (3 - 1 + 1)*(x**5 - x**5 + x**5).\nAnswer: -39*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, s: 1, w: 1, a: 1}. What is prob of sequence atp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 = -2*s - 4*a, 23 = 5*a - 2. Let b = 499 - s. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 16*o**2 + 21*o + 17. Let a be b(17). Suppose 5*v - 485 = -y - a, 0 = 3*y - v - 1120. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = -3*y. Let m be (2\/y)\/((-6)\/4). Let k = 9.1 + -9. Which is the nearest to k? (a) 9\/2 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*q + 60, 5*k + 5*q + 24 + 26 = 0. Let g be k\/5 + (-1 - -16). Solve 3*p - 3 = 2*v - 3*v, 4*p - g = -4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 21\/156769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24316147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007377 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116787929 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108 - 16320*g**2 + 8164*g**2 - 209*g**6 + 8158*g**2 wrt g?\nAnswer: -25080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13999? (a) 45 (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7733771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 54. Let a = t + -18. Determine b so that 0 + 0*b + 5\/3*b**5 + 0*b**a - 2\/3*b**3 - b**4 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 - -315. Calculate the highest common divisor of i and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 2*h**2 - 3 + 0*h**3 + 1 + 0*h**3 to the form c*h + q + u*h**2 + m*h**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3401832566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 254 = 3*s - 68, -h - 2*s + 176 = 0. Suppose h = 2*c - 406. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f - 17. Let n be a(1). Solve c + 0 = -3*d + 1, 2*d = -4*c - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -7064350.\nAnswer: -1\/7064350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab - -6806?\nAnswer: 6bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) - 3\/9. Suppose 0 = -r - z*r - 14. Calculate the common denominator of -69\/2 and (0 - (-114)\/r) + (-14)\/(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - -25 - -54) + (-105 - 19)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**2. Let x(h) = 615*h**2. Determine d(x(a)).\nAnswer: 4160475*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(-2 + 2 - 1) + 1 + b - 1 + 0*b + b - 2*b - b + b + 2*b + (-2 + 2 - b)*(-1 + 1 - 2) + 0*b + 0*b + b - 3*b - 3*b + 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2787743606 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**2 + 90*n + 5*n**3 - 91*n - 13*n**2 in the form t + p*n + k*n**2 + c*n**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 - 225.92. Let v = j - 0.08. Let c = v - -6. What is the third biggest value in c, 2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:19 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 2*m + 2*m)*(156*m + 110*m - 80*m) + (-2*m**4 + 3*m**4 + 0*m**4)*(4 - 2 + 0).\nAnswer: 374*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42745?\nAnswer: 5, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23647377707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 28 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 + 1054*t\/9 - 5792\/3.\nAnswer: 2*(t - 16)*(t + 543)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d)\/d)**(-19\/4) assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37229632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -21. Solve 16 = s*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -32*v**3 + 8*v**2 - 8*v. Let j(o) = -21*o**3 + 5*o**2 - 5*o. What is 8*j(h) - 5*x(h)?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 435.49697983 + -83.49697821. Let r = m - 352. Round r to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84900 and 19260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + (-34 - -42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -1\/4, 16695 in ascending order.\nAnswer: -8, -2, -1\/4, 16695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2304.78 + -2305. Let o be (1*-1)\/(7\/(-273)). Let x be -3 - o\/(-24) - -1. Which is the third biggest value? (a) -2\/7 (b) 1 (c) z (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419744 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 43*v**2 - 24*v - 233*v**4 + 236*v**4 + 23*v to i*v**4 + x + u*v**3 + d*v + p*v**2 and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -1. Suppose -r - 32 = 46. Let y = r - -75. What is the nearest to 2 in v, 4, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aji when three letters picked without replacement from {i: 1, p: 1, t: 2, h: 1, j: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.96 - -0.04. Suppose 5*k = 0, -5*x + x - 3*k = 0. Let j be 15\/(-35) + 0 + x. What is the second biggest value in i, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*c - 9 = 0, -3*x + 0*c - 6 = c. Let z be (-9)\/27 + 20\/6 + x. Is z + (-332)\/(-1) + 2 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -56, -16, 5 in descending order.\nAnswer: 45, 5, -16, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 + 29706*t**3 - 329677992*t**2 + 1620714076128*t - 2978934885601920.\nAnswer: -(t - 8790)*(t - 6972)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (-12)\/4)\/1. Suppose -2*s - 499 + 1519 = c. Suppose -10*t + s = -200. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 3011, 6781, 12087, 18947, 27379, 37401, 49031?\nAnswer: 62287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 30*i**2 + 24*i + 61. Let m be f(30). Suppose m*o = 770*o + 231. Solve -d + 2*q - 1 = 0, 0 = 4*d - q + o - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -3.12. Let j = -2 + x. Which is the second biggest value? (a) j (b) -10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.3 (b) -0.5 (c) 0.8 (d) -3027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 5*q - 3. Let h be d(4). Let r = h + 34. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15004 and 992?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 - 472. Let x(u) = u. What is d(x(z))?\nAnswer: 6*z**2 - 472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1465 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1434.367ng?\nAnswer: 0.000000000001434367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u. Let c be -3*(-185)\/(-2)*44\/(-165). Suppose u = 5*p - 829 + c. What are the prime factors of p?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601036611 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1146257106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*y + 10 = 0, -2*i - 3*i = 4*y - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*c**2 + 12 - 12)*(-4 + 4 + 1)*(6*c - c + 16*c).\nAnswer: -315*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from wwuqquqxwququwu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 = -51. Let v(b) = b**3 - 15*b**2 + 15*b - 11. Calculate the remainder when v(s) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2 + d. Let i(a) = -4*a**2 - 12*a - 7. Let c(s) = -4*i(s) + 4*x(s). Suppose c(k) = 0. Calculate k.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/91 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*k = -80*k - 30*k + 1890 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 16 (c) 8 (d) 6\/7 (e) -5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) -51 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1450\/(-1100) + (-6)\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 110101111?\nAnswer: 110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 64?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22\/13*(-518804)\/(-7256)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzgzgggggggzggg. Give prob of sequence zzg.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 6 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26 = -5*z, 0 = -2*t - 4*z + 18 + 2. Suppose -t*j + 248 = -j. Let l = j + 9. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 9*h**5\/20 + 13*h**2\/2 - 4*h. Differentiate y(x) wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*r + 115*r = 606. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5516 - 5463 = f, 5*c = -50. Let -4\/5*a**f - 4*a**4 - 7\/5*a + 11\/5*a**5 + 22\/5*a**2 - 2\/5 = 0. What is a?\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401317180?\nAnswer: 2, 5, 11, 1824169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 56*x + 75. Let i(z) = 19*z + 26. Let m(c) = -17*i(c) + 6*j(c). What is the tens digit of m(44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2. Let a(b) be the first derivative of b**2\/2 + 16*b - 1. Let y be a(-13). Let v(f) = -9*f + y*f - f. Give z(v(r)).\nAnswer: -245*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1731043*u**3 - 34*u**2 - 77161*u wrt u?\nAnswer: 10386258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 0, 10*r - 47 = -5*n + 9*r. What is the remainder when 157 is divided by 5\/(n*2\/126)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 530.\nAnswer: 7950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 10*s**2 - 8*s - 9. Let f be x(9). Suppose f*k = -2*k + 2. Let y(q) = 20*q**2 - q - 1. What are the prime factors of y(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o**3. Let i(f) = -6*f**3. Let m be 18*(-4 - 9\/(-2)). Give m*i(j) - 4*r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-33) - 8\/(-44). Let l(a) = -4 + 8*a**2 + 3 + 3*a - a. Calculate the smallest common multiple of l(g) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*535\nAnswer: -1658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6420827898?\nAnswer: 2, 3, 3823, 93307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249368434 and 2402.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -372347373*l**3 - 659*l**2 - 642*l - 8?\nAnswer: -2234084238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*l**2*v**3 - 94596*l**2 - 2*v**3 - 269*v**2 - 381*v wrt l?\nAnswer: 96*l*v**3 - 189192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 8144*g**2 + 24540*g + 146808.\nAnswer: -4*(g - 6)*(g + 3)*(g + 2039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 4582611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98256*w - 2*o - 2 = 98252*w, 0 = -w + 2*o + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 3}. What is prob of picking 2 z and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o**2 + 32013036*o - 8003260 = 0. Calculate o.\nAnswer: -2000815, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * 1.4.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (-2 + 10 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*s - 13 = 0, -3*g + 3*s - 12 = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(3 + -1). Which is the closest to 1? (a) -1 (b) -2\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176310 is divided by 6078?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from sdyysyyhsy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*m = -2*m + 372, 0 = p - 4*m - 71. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*v = n + 24, n = -3*v - 10. Let j be (n + 1)*6\/8. Let a = 4 + j. Let l(m) = -m**2 - 5*m + 1. Determine l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 - 283. Let l = z - 79. Let w = l - 94. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 29*k**2 - 64*k + 17. Let o be j(32). Let y = o + -500. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/10)\/((-5)\/25). Let u = 5.06 - 0.06. What is the biggest value in u, -0.2, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/6 + (-29)\/52. Let k = f + 125\/364. Suppose -1 = -2*v - 3. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 3*m + 2. Let a(y) = y**3 - 4*y**2 - 2*y - 4. Let k be a(5). Suppose 3*g - 13 = -4*q, q = -q + 3*g + k. Determine w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1099*a + 126387. What is u(115)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234334 is divided by 322?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.28 (b) -1\/6 (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-52)\/10 + 5)*-5. Let f(q) = 83*q**2 + 2*q - 1. Let i be f(b). What is the remainder when 62 is divided by ((-6)\/(-4))\/(6\/i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(136)\/(-1*sqrt(24)\/sqrt(3)))**2.\nAnswer: -104 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/9 - 2*h**2\/3 + 20*h\/9 + 16\/3 = 0?\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69 - -b77c5?\nAnswer: b7850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 749 (b) 2\/7 (c) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s**2 - s + 4. Let g be c(0). Let f = 9 - 4. Suppose -f*l = -g - 6. Solve -l*q = -5*q - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w + 0 + 0*w**6 - 1\/3*w**3 - 3*w**2 + 0*w**5 + 0*w**4 + 1\/70*w**7. What is the first derivative of s(z) wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59edde (base 16) to base 10\nAnswer: -5893598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 2 + 1 - (1 - 42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*w**3 - 20*w + 20*w.\nAnswer: 663*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2.9 (c) -3 (d) -5 (e) 11 (f) -6\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-8) - 1\/2. Suppose -1 + 0 = -x + k, 5*k = p*x + 1. Suppose r = 3*b - 4, 5*r + x*b = -3 + 17. Solve 0*z = z - a, -12 = r*z + 2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a + 5*a**2 + 4*a + 7*a + 0*a + 5*a in the form d + g*a**2 + w*a and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -0.2, 22, 47, -0.06 in decreasing order.\nAnswer: 47, 22, 19, -0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 318*h**2 + 3*h.\nAnswer: -318*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/4*(-14)\/70*20\/(-104).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. Let i = r + 7. Let s(m) = 2*m**3 - 1. Let u(o) = -2*o**3 + 2. Let y(w) = i*s(w) + 6*u(w). What is the first derivative of y(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 13. Suppose -2*h - r*d = 48, 8 = -3*d - 1. Let p(o) = -1. Let c(q) be the second derivative of q**3\/2 - 9*q**2 + 1660*q. Give h*p(v) + c(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20713301 (base 8) in base 9?\nAnswer: -8301122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 + (5 - 3) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6)*(-65 - 59 + 192 - 68 + 537*g).\nAnswer: 3222*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 4, y: 3, p: 1, c: 2}. Give prob of picking 1 y and 1 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 727803.3 tonnes?\nAnswer: 727803300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197743850?\nAnswer: 2, 5, 3954877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 120*i**2 + 35*i + 35. Let z = -13 + 19. Let a(w) = -10*w**2 - 3*w - 3. Let p(g) = z*o(g) + 70*a(g). Let l(j) = -j. Give p(l(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228 + -223. Suppose -4*j - n*r = -10261, -36*r + 37*r = -3*j + 7682. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376 by 8.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 95 - 121 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-55)\/(-110))\/((-11)\/2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113243430 (base 6) in base 16?\nAnswer: -205d6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424166367\/5 or -0.2?\nAnswer: -424166367\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9228, -73329, -247182, -585663, -1143648, -1976013, -3137634?\nAnswer: -4683387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 28.1. What is the closest to s in -3\/13, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89616.571 - 1850.9\nAnswer: -91467.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 8324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 15504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 9, -6, -795 in increasing order.\nAnswer: -795, -8, -6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 979 by -3.\nAnswer: -979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17.3. What is the closest to 0.1 in u, 3, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -24*m - 2. Let k(u) = -5*u + 8. Give g(k(n)).\nAnswer: 120*n - 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -62*s**3 - 7. Let k(m) = -63*m**3 - 5. Calculate -3*h(c) + 4*k(c).\nAnswer: -66*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 32*v - 1245. What is b(39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1656 by 48.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(125) - (sqrt(125) - (sqrt(125) - sqrt(125)*2)*-1)) + -5)*3)**2.\nAnswer: -540*sqrt(5) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12840 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84895 > 84893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-95)\/(-57) + 8\/6. Let m(p) be the first derivative of 1\/12*p**4 - 1\/3*p - l - 1\/6*p**2 + 1\/9*p**3. Suppose m(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 4*f - 3*f, 2*z - f - 9 = 0. Let r(u) = -6*u**2 + 5*u**3 - u - z*u**3 - 5*u - 3*u**3. Is r(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17639202?\nAnswer: 2, 3, 7, 43, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268188 is divided by 134088.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3534 = 204*a - 111*a. Solve -32 = -14*f + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161417.36200365 - 161417.4. Let t = -0.003 - -0.041. Let s = t + b. Round s to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217526*g**3 + 56365*g + 1 wrt g.\nAnswer: -1305156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 596 - 594. Let v be z\/(-6)*(-3 - (-9)\/(-15)). Factor 0 + 2\/5*k**4 - 6\/5*k - 2\/5*k**2 + v*k**3.\nAnswer: 2*k*(k - 1)*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + ((-7)\/(-2919))\/(94\/(-941316)).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 3. Let w be 2\/((-29)\/(-9) + -3). Suppose 8*h - 6 = w*h. Let j be f(h). Solve 3*b = 2*x + 13, -4*b - 3*x = -9*b + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/20 + 514\/(-130) + 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.378 - 0.478. What is the fourth biggest value in 0.3, -6, j, 1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 8. Is 6 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7333, 7328, 7319, 7306, 7289, 7268, 7243?\n\"Answer: -2*s**2 + s + 7334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/7 + 594*z**3\/7 - 44400*z**2\/7 + 43808*z\/7 = 0?\nAnswer: 0, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223645 is divided by 18596?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = 2*p + 14, 3*p + 12 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 924103.6 minutes?\nAnswer: 55446216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 17483390.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 2*h - 6, 5*n - 3*h + 19 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose h*z - 6*z = -12. Let u(p) = -5*p**3 - p**2 - p. Let q be u(-1). Solve z*g - 2*i = -4*i, 0 = 5*g - q*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 41 = 100. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157423*m - 4*m**2 + 75 + 16 + 85 - 157503*m.\nAnswer: -4*(m - 2)*(m + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1977 and 3494677?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i - 10. Let f be y(0). Suppose 2*x + 3*j - 2 = 0, x + 0*x = -4*j - 4. What are the prime factors of f\/x*(-19 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6*(-252)\/189\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 5763*l + 2247*l + 3516*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 0 (b) 0.4 (c) 0.1497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/241 in -5, 1, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262185 is divided by 559?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((2*-6)\/(-3)). Suppose -2*s + y + 22 = x, 3*s - 2*y = 37 - 2. Find the first derivative of -21 + 10 + 14 + s - 33*d wrt d.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Suppose d + 2*o + 3 = -3, -w*o - 20 = 0. Suppose -u - d*u = -120. Calculate the highest common factor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + 2*v - 4*v)*(-119 + 209 - 685).\nAnswer: 7140*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*c**4*y - 8*c**4 - 6123*c**3*y + 2*c**2*y + 7*c**2 + 99*c - 19899*y wrt c?\nAnswer: -288*c*y - 192*c - 36738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1257 + 4*o + 1255 + 4*o + 3*o**2 in the form j*o**2 + h*o + m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 907125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -8. Which is the smallest value? (a) 2\/7 (b) 12 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/119*((-12)\/(-90))\/((-8)\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*h**3 - 54627*h - 9389096 wrt h.\nAnswer: -111*h**2 - 54627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 17 = 23. Let z be (-4)\/i*23 + 9\/(-15). Solve n = -z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -40, -47, -56, -67, -80?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34170*s**2 - 29*s + 8950925.\nAnswer: -68340*s - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/3 + 3*p**4 + 38*p**3\/3 - 13*p**2\/3 - 20*p + 28\/3 = 0.\nAnswer: -2, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-210)\/84 - (-3)\/2. Is (-22)\/(-77)*7 - 198*x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -3\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -430 - -430. Let k be 0 + 1 + 88\/(-86). Which is bigger: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_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 s = -3.6068 + 3.7068. Let a be 6\/9 + (-276)\/387. What is the closest to s in 3, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -82943, -165970, -248993, -332012, -415027, -498038, -581045?\n\"Answer: 2*f**2 - 83033*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74949 * 7.\nAnswer: 524643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 14*o**2 + 114*o - 18. Calculate the lowest common multiple of 603 and n(-6).\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115024 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1483, -3322, -5521, -8080, -10999?\n\"Answer: -180*n**2 - 1299*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2269*k**4 + k + 7256 wrt k?\nAnswer: -9076*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o**2 - 7*o - 162. Let f(w) = 15*w**2 - 8*w - 166. Determine 6*f(h) - 7*z(h).\nAnswer: 6*h**2 + h + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -96, -4, -7, -3 in decreasing order.\nAnswer: 4, -3, -4, -7, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*s + 217*s + 270*s to d + o*s and give o.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 54 = 5*b. Sort b, -4, 1\/4, 0.4 in descending order.\nAnswer: b, 0.4, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16 - 2700\/(-170) - (-45)\/(-51). Let x(v) = -v**3 - 3*v**2 - v - 8. Let b(j) = -j**3 - j**2 - j - 1. Give d*x(a) + 2*b(a).\nAnswer: -a**3 + a**2 - a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 29*c + 15. Let r(p) = -6*p - 3. Let g(x) = -2*o(x) - 11*r(x). Calculate g(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/1372*7*(-49)\/112.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5013*d - 263383. Determine u(-52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 36*p**5 + 12*p**2 + 5*p - 5. Let g(v) = 37*v**5 + 13*v**2 + 6*v - 6. Let b(j) = 5*g(j) - 6*l(j). What is the third derivative of b(q) wrt q?\nAnswer: -1860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -475 + 508. Suppose 0 = 2*i - 3*y - 7, 12*y - 38 = -4*i + 10*y. Solve i = -5*z + k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 + 9*h**3 - 5*h**3 + (-4*h**2 - 6*h**2 + 3*h**2)*(h + 3 - 3) + 2*h**3 - 2 + 3 - 3 as g + n*h + l*h**2 + o*h**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 1. Let q(g) = -151*g - 56. Let s(i) = -35*i - 13. Let p(h) = -6*q(h) + 26*s(h). Calculate -5*j(z) + 6*p(z).\nAnswer: z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.2, 2\/15, 24.\nAnswer: -7, -0.2, 2\/15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let c be a(2). Suppose 2*f + 4 = o + 8, -3*f + 15 = c*o. Suppose -f*l + 304 + 257 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204637 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 + 3) - 7 - (14 - 23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yskykekyykktts. What is prob of sequence yytk?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-525)\/(-12) - ((-750)\/(-40))\/(-15). Calculate the highest common divisor of w and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let o(k) = 2545*k. Calculate o(n(c)).\nAnswer: 2545*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = -10. Let y be (-3 + (-13)\/(-4))\/(q\/(-24)). Determine s so that -52*s**3 + 24*s**2 - 311*s**4 + 212*s**4 - 2*s**y - 21*s**5 = 0.\nAnswer: -4, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.26367 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = -4*w - 9, 0 = 2*m - w - 7. Let a be 20\/m + 2\/(-6). Suppose -2*u - 2*h + 8 = 0, -u + h = -a*h + 6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-67640.\nAnswer: 405840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2306356 + -260?\nAnswer: 2306066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236479?\nAnswer: 236479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by -2*(-30)\/(-50)*(-25)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65281403?\nAnswer: 11, 5934673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25103 - 0.04897. What is the nearest to 0 in -8, t, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -5.7. Let t = -0.6 + s. Let m = 48657 - 48655. Which is the nearest to m? (a) t (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 173*i**2 - 88*i**2 - 79*i**2 + i**3 - 7*i + 2. Determine g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (36\/82*-1)\/(24\/(-112)). Suppose -3*v - 2*t = -13 + 2, 4*t = -5*v + 21. Let b be (-1)\/(-2)*(-1 - v). Is x bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + j**2 - 3*j**2 + (3*j - 3*j - j)*(-11*j + 2*j + 5*j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896124589 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 404\nAnswer: -121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 235?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1680 - -11762\/7. Factor -4\/7 + 2\/7*k**2 + v*k**4 - 6\/7*k + 6\/7*k**3.\nAnswer: 2*(k - 1)*(k + 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*i - 58*i + 20*i + 97*i to the form f + h*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167214 divided by -4.\nAnswer: 83607\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8883658 decades?\nAnswer: 106.603896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -461\/20 (c) -500 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305412532 - 41?\nAnswer: 305412451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 3*i**2 + 4*i**2 - 2 - 4 + 10.\nAnswer: i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, j: 5, n: 7}. What is prob of sequence ju?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 43595.5 to the nearest 100.\nAnswer: 43600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 729*i**3 - 227509128*i**2 - 33705068*i - 1248336 = 0. What is i?\nAnswer: -2\/27, 312084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168564*h - 26 + 2 - 37524*h + 3.\nAnswer: 131040*h - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4971222 and 49\/558.\nAnswer: 4971222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h + 9 = -52*h + 4*x, -4*h - 3*x + 10 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.3 * 519267.\nAnswer: -4829183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6411790 by -1210.\nAnswer: 5299","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5\/4, 1\/3, -7, -617 in descending order.\nAnswer: 1\/3, 0.3, -5\/4, -7, -617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 292 in 2\/5, -0.2, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63183611 divided by 31?\nAnswer: -2038181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -4 (c) 4 (d) -0.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 610792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 + 190. Solve 4*b = 3*u + 17, 3*b = 2*u - v*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/15*355\/(-426).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6 (b) -0.45 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpsp when four letters picked without replacement from {h: 3, s: 1, f: 2, p: 4, b: 1, v: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9 + 6. Suppose -j*r = -3*r + 6. Let f = 4 + r. Solve -9 - f = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23628, 23622, 23614, 23604?\n\"Answer: -f**2 - 3*f + 23632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -45 in descending order.\nAnswer: 3, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-1453.\nAnswer: -145.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 226. Sort -1, 2, q in decreasing order.\nAnswer: q, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 5, f: 3}. Give prob of sequence fm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 13*h**2 - 6*h + 3. Let c be j(6). Let x(s) = 26*s + 25. Let d be x(4). Suppose c*f = -d + 486. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 17 = -4*w + u, -3*w + 31 = 4*u. What is the units digit of ((-17)\/2)\/(w + (-486)\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 225 = 3*n + x, -5*x - 72 = -n. Let j = n - 23. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -10*j + 15*j. Suppose -16*q = -3*q - 117. Solve q*z = 7*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**5 - r**4 - r**3 - r**2 - 1. Let d(z) = -10*z**5 + 147*z**4 + 255*z**3 - 133*z**2 - 5. Let c(w) = d(w) - 5*y(w). Determine l, given that c(l) = 0.\nAnswer: -2, 0, 2\/5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-8)\/(-360)*231?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1709 + -1808. Put -2, -1, -7, o in increasing order.\nAnswer: o, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 0) + 0 - (-2963 - -2938)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 o, and 1 b when four letters picked without replacement from pbmmmmmkvpomovppmo.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(26 - 48 + 26).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3356, 6714, 10072?\n\"Answer: 3358*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31358 rounded to 3 decimal places?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*v - 55475 + 15740. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-f**2 - 2*f**2 + 4*f**2) - 3*f**2 + 3*f**2 - 2*f**2 + (111*f + 163 - 163)*(4*f - 5*f + 2*f) + (-f**2 + 3*f - 3*f)*(1 + 2 - 1).\nAnswer: 106*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 88*r - 95. Calculate the remainder when y(21) is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i - 5*y, -5*y + 13 = -4*i + 40. Solve 2*w - i - 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 7*s - 4. Let f be b(7). What is the units digit of 8\/f*15\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbyy when four letters picked without replacement from {s: 10, v: 1, p: 2, b: 4, y: 2}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -274.597277 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/10 - 96\/(-240). Suppose -s - t = -57, -12*t = -3*s - r*t + 195. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/5 - 3414*p**3\/5 + 166214*p**2\/5 - 851082*p\/5 - 1020712\/5 = 0.\nAnswer: -1, 7, 44, 1657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozo when three letters picked without replacement from ozzzzzzzzzzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 4:48 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 61787496*v - 238605916371876.\nAnswer: -4*(v - 7723437)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 17*j**2 + 16*j - 11. Determine h(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58667095, 58667093, 58667091, 58667089?\n\"Answer: -2*v + 58667097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaarrrar. Give prob of picking 4 r.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**2 + 2*i**2 + 6*i**2 + 0*i**6 + 3*i**6 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 6. Let j be 18\/(-12)*h\/(-6). Suppose f + 3*f - 8 = j*r, 2*r = -4*f + 24. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1713308933 rounded to 4 decimal places?\nAnswer: -0.1713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(1\/20))\/(d*d**7*d))**(-47))**23)**20 assuming d is positive.\nAnswer: d**171879","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -90, 3 in ascending order.\nAnswer: -90, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + z - 0*z, 7 = -4*o - z. Let m = 1.6 + -2. What is the closest to o in -1, m, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363?\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4\/3 - 4970*l**3\/3 + 411680*l**2 + 4970*l\/3 - 1235045\/3 = 0.\nAnswer: -1, 1, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1481, -93, 252 in increasing order.\nAnswer: -1481, -93, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t = -16*t + 4*w - 20, 2*t - 5 = -w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 36*s**4 + 198*s**3 - 284*s**2 + 123*s.\nAnswer: -s*(s - 3)*(s - 1)**2*(s + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y = -146, -3*y = -3*i - 2*i + 670. Let q = 169 - i. Calculate the highest common factor of 418 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3931410 or 3931409?\nAnswer: 3931410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5\/2*w**2 + 2 + 3*w. Differentiate y(l) with respect to l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91800 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 4381116*h**2 - 1599514783788*h.\nAnswer: -3*h*(h - 730186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25078133.\nAnswer: 25078133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -37 in decreasing order.\nAnswer: 4, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 4*q - 3. Let i be n(-2). Let m be i\/(2 + -1) + 0. Let w = 3 + m. Which is the nearest to -3? (a) w (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(3\/9)\/1. Let c = 2 + -5. Let w = -34 + 35. Put c, p, w in descending order.\nAnswer: w, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*v**5 - 205*v**2 + 478*v**5 + 25*v**2 wrt v?\nAnswer: 19680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 22)*(207*o**3 + 43*o**3 + 75*o**3) - 2 + 2 + 2*o**3.\nAnswer: 8452*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -17*b - 6. Determine i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -30.\nAnswer: 323\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l, 4*k - 2*l = 2*l. Let u be (k + 307)\/2 - 0. Let c = 218 - u. Is c a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13075 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*d - 4515, 0 = 14*d - 12*d - 3*s - 1781. Let w = d + -835. What is the lowest common multiple of w and 49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/4 + m**4\/2 - m**3 - m**2\/2 + 3*m\/4 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 36*c**5\/13 - 98*c**4\/13 + 38*c**3\/13 + 32*c**2\/13 - 8*c\/13 = 0.\nAnswer: -1\/2, 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*n*q + l**2*q**2 + 2*l**2 - 3*l*n*q**2 + 40*l*q**2 wrt l?\nAnswer: -6*n*q + 2*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.318 + 105.\nAnswer: 111.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/2 - (-189618)\/9537)\/((-214)\/34).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49613.15 millimeters to nanometers.\nAnswer: 49613150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1010? (a) 6.5 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:04 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + u + 1. Let p(q) = q**2 - q. Let r(y) = 2*d(y) + 3*p(y). Determine r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187604 + u + 187604.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30772488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865934 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 25. Suppose 0 = 2*j - o, 0*o = 2*o. Let q be (-1 + -3)*(j + i). Solve -3*h - q = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = j - 7, 0*j = 2*j - 6. Suppose -t*r + 0 + 8 = 0. Let m = 1 + r. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 468.\nAnswer: 5\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 20. Let d be m(0). Let o(a) = -2*a + 9. Suppose 3*t = 3, 3*j + t - 2*t = 5. Let w be o(j). Solve -w*u - d = 4*p, -25 = 2*p + 3*p - 2*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = p - 212. What is p rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90324079 is divided by 318.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 67, 98, 149, 226?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. What is the closest to 0 in -4, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/420 - 7*j**5\/120 + j**3\/3 + 6*j. Let m(q) be the second derivative of i(q). Find the second derivative of m(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 55*v + 99 = 0. Suppose v*m = 14*m - 6. Solve -3*u - m*y - 2*y + 1 = 0, 4*y = 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.26*5\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 111e80 (base 15) to base 16\nAnswer: c7605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*b**2*m**2 - 5*b**2 - 807*b*m**2 wrt b.\nAnswer: -110*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24938 = 18*v - 24884 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117.415 - 117. Let l = x - 0.315. Is -2\/13 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149493341?\nAnswer: 251, 601, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105.1 - 112. Let p = h + 6.8. Suppose 0 = 2*w - 2 + 18. Which is the smallest value? (a) -0.5 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 27*a**2 + 36*a - 58. What is x(-8)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 7. Let q = 49 + -66. Is 15 a factor of n(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-27) + (-1520)\/36. Let m = a + 74. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781.65 rounded to the nearest ten?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 11. Suppose g + o + 142 = -73, 4*g - 3*o + 846 = 0. Let h = g + 221. Calculate n(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9 + 85 = 0. Calculate the highest common factor of 551 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 35*y**3 + 330*y**2 + 360*y.\nAnswer: -5*y*(y - 6)*(y + 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 + 9291*w**2\/8 - 115893*w\/4 + 157522.\nAnswer: -(w - 9266)*(w - 17)*(w - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 948 - -500. List the prime factors of h.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u + 79*u + 97*u to j + h*u and give h.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 805*s - 3818 wrt s?\nAnswer: 805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rqqqrqqrqqqq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2685*n - 61481 - 30854 + 25210 = 0 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from vkvvvxvvvvv.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -2 - -8 - 2. Let i = n + -1. Let h(a) = a**2 - 3*a - 2. What is the units digit of h(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67769 by 6851.\nAnswer: -5213\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 1:31 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125886600 by 10490550.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 1:27 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 e when four letters picked without replacement from fhepeeppeep.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 548 times -0.1\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 19\/5 (c) -17 (d) -319 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.061 (b) -1\/6 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 11 = 31. Suppose 3*u = 3*b + 1191, -b + 3 = i. Suppose 5*r + u = -4*m, -495 = 5*m - r + 3*r. What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 69063 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - l**2 + 2*l**2 + 2*l**2 + 0*l**2 - l**2 - l**2 - l + l + (-5*l - l + 3*l)*(8*l - 5*l + 3*l).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 3 (c) 0.1 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -88. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5452 and 92512262?\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141298441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 142 = -3*o + 225, 2*o - 276 = 3*t. Let l = t - -151. Suppose -72 = -l*c + 54*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**4 + 2*s + 4*s**3 - 5*s**3 + 4*s - 19*s**4 - s to w*s**3 + z*s + i*s**4 + d*s**2 + x and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -10*r**4 - 15*r + 15. Differentiate l(a) with respect to a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and -543.5?\nAnswer: -2010.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 divided by -2?\nAnswer: 201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 192*o**2 + o - 12. Let h be c(-2). Suppose -h = -4*q - 2*f, 3*q - 4*f - 548 = -2*f. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (71 - -1) + (-4 - -2). Let l = 102 - y. 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 first derivative of 2*m*q*y + m*v**2 - m*y + q*v**2*y - 4*q*v*y + v**2 wrt m?\nAnswer: 2*q*y + v**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7439 is divided by 7364?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -45 (b) -47 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78001*w**2 + 23*w**3 - 9*w**3 + 77876*w**2 - 16*w**3.\nAnswer: -2*w**3 - 125*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 7, a: 3, f: 4, v: 1}. Give prob of sequence rf.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7869 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - 25*k + 6. Calculate o(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -188, 0, 2, -4, 1, 12 in increasing order.\nAnswer: -188, -4, -1, 0, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/4 + 5727*k**2\/2 - 34335*k\/4 = 0 for k.\nAnswer: 0, 3, 3815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -22*w + 17*w. Suppose 108 = -w*z + 14*z. Let h be 0 + (-4)\/z + 174\/54. Solve 3*k = -0 - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 150*r - 616. Let y be l(-4). Solve 4\/7*a**3 + y - 4\/7*a + 0*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001110001 (base 2) to base 12\nAnswer: b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z)**(5\/3))**(-15)*(z\/(z**(2\/23)*z*z)*((z*z\/(z*z**(-2\/17)))\/z)\/z*z)\/((z**(2\/5)\/z*z)\/z)**(10\/9) assuming z is positive.\nAnswer: z**(58295\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0*q - q = -13, 3*k = -5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfd when three letters picked without replacement from wwdfflvvlvvf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162.0041 - 162. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3797 divide 103012610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/148247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 42161.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2584*a - 1322 + 355*a**2 + 2584*a + 1322.\nAnswer: 355*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 14*y**2 + y - 14. Suppose 0 = -7*d - d + 112. Let v be w(d). Solve -b + 6*b = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15659\/6478 + -491\/237. What is the common denominator of 27\/656 and q?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (-1 + 4)) + 0 + 0. Suppose m + 3*d - 50 = n, -3*d - 112 - 38 = -3*m. Let b = -38 + m. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*v + 254*v**2 + v**4 - 243*v**2 - 3 + 153*v + v**3 to x*v**3 + a*v**2 + o*v**4 + y + g*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) 1\/3 (b) -197.6 (c) 1 (d) 0.3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16702 and 42?\nAnswer: 50106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a + 59. Let c be m(-3). Let z(f) = -2*f**3 - 9*f**2 - 6*f. Let d(g) = -g**2 - g + 1. Let v(s) = -2*d(s) + z(s). Does 10 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.564 - -70.5. Round w to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -30*r - 2. Let s be c(1). Let m = 82 + s. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:31 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c899 (base 15) in base 3?\nAnswer: 2011020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.401022 rounded to three dps?\nAnswer: -0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 118, 109, 86, 43, -26, -127?\n\"Answer: -b**3 - b**2 + b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 1b?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**5\/20 - 5*g**4\/2 - 50*g**3 - 500*g**2 - 42*g + 46. Let i(c) be the first derivative of y(c). What is r in i(r) = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -15*u + 54 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1427 - 1478. Which is the second biggest value? (a) 5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 200. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(-7*j**4 + 8*j - 8*j)*(3*j - 3*j + j).\nAnswer: -14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h + 3*h**2)*(-778 + 288 + 149).\nAnswer: -1023*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 i when three letters picked without replacement from {i: 7, m: 3, w: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2231394344 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) -1.5 (d) -102 (e) -325 (f) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18858, -37141, -55424, -73707, -91990, -110273?\n\"Answer: -18283*s - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(30\/18))\/(39\/(-208))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802227.\nAnswer: 3, 29, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n**3*w**4 - 11*n**3*w**2 + 3*n**3*w + 31*n**2*w wrt w.\nAnswer: 144*n**3*w**2 - 22*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l = 3*m + 25, m - 32 = -3*l. Let g(p) = -p**3 - 12*p**2 - 2*p - 4. What is the remainder when g(-12) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*j = 5*v - 243*j - 26, v = -4*j - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-10*(-23)\/(-46)). Solve 301*k - 303*k - 12 = r for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/21, -22.6, -5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 u when three letters picked without replacement from auvaauaaaaaaca.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3260?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 12. Suppose 4*g = 2*g - m. Let y(v) be the first derivative of -v**4\/4 - v**3 + 3*v**2 + 3*v + 1. Determine y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2217454 or -2217487?\nAnswer: -2217487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -72*t - 12. Let s be -5 + 0 + 1\/((-4)\/(-4)). What is the tens digit of z(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5066 divided by -2\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 280\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 bigger than -804390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 6*h - 5*h)*(2 + 0 + 0 - 4 + 4 + 3 + (4 - 3 - 3)*(4 + 1 - 2) - 2 + 0 + 0 + (-4 - 2 + 5)*(-1 - 4 + 6)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 60. Let x be c(-8). Let f be 54\/189 - -3*x\/(-42). What is the third biggest value in 4\/7, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/24 - s**5\/12 + 10*s**4\/3 - 50*s**3\/3 - s**2 - 19. Factor t(z).\nAnswer: -5*(z - 2)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 6:57 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 253, 254, 255, 256, 257?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 2 (b) -4 (c) -2.7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -888.9369 + 889. Let j = a - 0.067. What is j rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*u + 10*u. Suppose -u*b = 2*b - 740. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (73 + 8 + 0)*2\/(-4) and (-141)\/(-4)*4\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1038*v = -927*v - 41*v - 24072 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41)\/21 - ((-12)\/42 - 0). Which is the fourth smallest value? (a) 7 (b) -0.5 (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -275, -339, -499, -803, -1299, -2035?\n\"Answer: -8*f**3 - 8*f - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(349440\/39))\/(4*(-7)\/420)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1197, -5842, -13879, -25308, -40129, -58342, -79947?\n\"Answer: -1696*s**2 + 443*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - 142. Let b be (-3)\/4 - (-1)\/(-4). Let h = a - b. Solve -r = -4*x - 6*r - 10, x + 5*r - 5 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 22*n - 25*n. Let m(h) = 4*h. Calculate the remainder when 27 is divided by m(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/6165 and -79\/274.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*c + c + 2*c + 71 - 1 as r + f*c and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17328, -69301, -155922, -277191, -433108?\nAnswer: -623673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/240 + 3*p**5\/40 + 5*p**4\/24 - 1163*p**2. Determine r so that k(r) = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351730810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296548 is divided by 59309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15741, 15749, 15769, 15807, 15869, 15961?\n\"Answer: g**3 + g + 15739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + (0 - (2 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2898 = 5*x - 44*v + 41*v, -v = x - 586. Let w = -1259\/2 + x. What is the common denominator of w and 2\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259813.\nAnswer: 37, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135658, -271321, -406986, -542653, -678322, -813993?\nAnswer: -949666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/((-16)\/(-5) - 3648\/3040)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 3*m - 9. Let x(u) = -u**2 - u + 4. What is 3*b(y) + 7*x(y)?\nAnswer: 2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 164 - 4 = 0. Let i = 9 - k. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - b = -571, 2*c = 5*b - 0*b + 375. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -107, 1, 87\/7, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvzzvzvvvzvzvz. What is prob of picking 1 v and 2 z?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 727*k**2 + 16*k + 10. Let p be 89\/6 - 14\/(-84). Let z be m(p). Let t = -95825 + z. Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/125)\/((-112)\/(-40))*10.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17298718*j - 2 + 17298716*j - 71*j**3 - 53*j**3 as c*j + q*j**2 + h*j**3 + x and give h.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156592, -156901, -157198, -157477, -157732?\nAnswer: -157957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4352)\/106 - 7521\/(-132871).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 372*g - 31000. Calculate t(-53).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2619 - 2512) + (21 - -5 - 4).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/120 - 3*g**5\/20 + 3*g**4\/8 - 11*g**3\/6 - 6*g**2. Let i be s(8). Is -20\/11 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5593, -0.2, -20, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6788 and (-160)\/(-224) + 3 + (6\/21 - 0).\nAnswer: 6788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from oooroooooorooorroo?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:54 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 + 69*k + 1. Let c(i) = i**2 - 14*i. What is 11*c(v) + 2*n(v)?\nAnswer: -v**2 - 16*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -44664*a - 355644. What is g(-8)?\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 3*t**3 + 2*t**2 + (2 - 2 + t)*(2*t - t**2 - 2*t))*(t - 2*t + 9*t) to the form m + q*t**2 + n*t + j*t**3 + r*t**4 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 5, s: 15}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26639169877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s + 4. Let p be f(-4). Do -27 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141735332.\nAnswer: 2, 5227, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**5 + 0*q**2 + 0 + 0*q**3 - 1\/12*q**4 + 1\/30*q**6 - q. Factor b(g).\nAnswer: g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 6*d - 6. Let n be k(-3). Solve 0 = -v - n + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-1\/12))*k)*k)\/k**(-5\/4)*(k**0)**(-30\/11)*(((k**(-1)\/k*k)\/k)\/k**5)\/(k**(-7)\/((k\/(k**(-4)*k*k*k))\/k)) assuming k is positive.\nAnswer: k**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290)\/(-8) + 0 - (17100\/(-240))\/95?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 7. Let t = 6 + -13. Let j be l(t). What is the third derivative of j*z**2 - 3*z**5 - 2*z**2 - 2*z**2 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2828*g - 449*g + 568800 = -3553*g - 1652*g for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7233 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2950 and 590.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380131 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-20 - -23) - (1 + -16 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197d (base 15) in base 7?\nAnswer: 22042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8188 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9631 + -9533. Is r at most as big as 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (930\/18 - -5). Let y = -51 - j. Suppose -l - z - 3*z + 81 = 0, 3*z = -y*l + 405. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17817 + 3?\nAnswer: 17820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90604061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -1\/48*g**4 - 1\/8*g**2 + 0 - 30*g - 1\/12*g**3. Suppose k(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29522977 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + ((-2516)\/15725 - 2349\/(-150)).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*c = -3*d, 5*d = 2*c - 23. Let z = 3 + 0. Is ((-1)\/z)\/(d\/477) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 + sqrt(114) + sqrt(114) - sqrt(114))*4 - (sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114)*-4)*-3)))\/(-2*sqrt(726)*-4*-3).\nAnswer: 3*sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/9 - 1550866*g\/9 - 1550848 = 0.\nAnswer: -775424, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/5 - 3294*d**3\/5 - 6576*d**2\/5 = 0.\nAnswer: -1096, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from {f: 1, j: 2, x: 8, i: 2, b: 3, c: 1}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from ggygygyegygggg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*z = -8105, 5*l - 4*z - 2022 = 11523. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -5, -2, -1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((-3*sqrt(60) - sqrt(60))\/sqrt(12) + sqrt(5)))\/(sqrt(6)\/sqrt(192)*4).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.4 - 39.9. Which is the second smallest value? (a) -2\/21 (b) t (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-1\/50)*(n**(-1\/3)\/n)\/n*n*n**(-2\/11)\/n*n assuming n is positive.\nAnswer: n**(-50\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 391, 579, 843, 1183, 1599?\nAnswer: 2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9579, -8, 3, 5, -3 in descending order.\nAnswer: 9579, 5, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*d**6*m**3 + 2*d**3*m**3 - 2*d**2*m**3 - 25*d**2 wrt d?\nAnswer: -3600*d**3*m**3 + 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (295*l - 297*l - 57*l**2 + 261*l**2)*(0*l - 1 - 2 + 2*l) as q + g*l**2 + s*l + v*l**3 and give v.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.937 - 0.137. Let r = x - 79. Are -0.21 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6805 = -4*q - 1665. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 23*m**2 - 4*m - 62. Let v(d) = 8*d**2 - d - 21. Let p(s) = 4*a(s) - 11*v(s). Is p(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -2\/9, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/677139387 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*m + 38 = 4*t, 0 = 2*t + m - 16. Suppose -z = k + 2*k + t, -2*k = 2*z. Let z*i**3 + 2 + i**4 - 5*i - 9*i**2 + 10*i**4 - 4*i**4 = 0. What is i?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144 + -135)*((-28)\/33 + (-6)\/(-33)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -15, -22, -31, -42, -55, -70?\n\"Answer: -m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let c(g) = -86 + 31*g + 86. Calculate o(c(j)).\nAnswer: -961*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17) + -2 + -4.\nAnswer: -6 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -3) + 4 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(1\/4)))\/g**(-5)*((g\/(g**(-2\/3)*g))\/g)\/g**(-1\/2) assuming g is positive.\nAnswer: g**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/7316 and -76\/7161?\nAnswer: 1689996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 + -422.005. Let b = 0.055 + s. Let f = b + -0.05. Sort -1\/12, -4, f.\nAnswer: -4, f, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -h + 192, -5*h - 3*j = -3*h - 357. Let g = h - 1283\/7. Let y = -6.0643 + 5.8643. Put y, -29, g in decreasing order.\nAnswer: y, g, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253.2 + -276. Let g = 20 + x. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2015 and 2273695.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 8*a**3\/3 + 4*a**2 + 2*a + 7. Factor z(q).\nAnswer: 2*(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4059205 divided by -5?\nAnswer: 811841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11847527 > -11847519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 16*c + 65. Give m(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - u = 87. What is the remainder when 494 is divided by 11 - u - (2 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 44. Let u(g) = -g - 23. Determine 4*l(s) + 7*u(s).\nAnswer: s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000156951915 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t. Let r(h) = -5*h + 12. Let w be r(2). What is k in 3*k + t + 2 + 3*k + k**w - 3*k = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205308515 to the nearest integer?\nAnswer: 14329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 22490640\nAnswer: 1\/5622660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -37*(-1 + 0\/(-1)) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66717 = 76*m + 1737. What is the lowest common multiple of m and 55?\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**2 - 4*y - 12. What is p(-3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57003057 or 57003077?\nAnswer: 57003077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-21))\/(4248\/28). Let b = -22831\/1593 - g. Let s = 295\/21 + b. What is the second biggest value in -1\/5, s, -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/28)\/((-4250)\/26775)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((378\/21)\/90)\/((-2)\/4)*5\/82\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(343) + 1)*-5)**2*2*6*3.\nAnswer: 12600*sqrt(7) + 309600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 69482180 divided by 2\nAnswer: 34741090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 11:50 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfll when four letters picked without replacement from {l: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 16\/17 (c) -674 (d) -8\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/12 and -67\/10260?\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7944619\/325 - -24445. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96*((-5)\/(-10) - -3). Suppose 9*f = -3 + a. List the prime factors of f\/(-2)*(-22)\/11.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 + -79. Let b = w - -238. Is b - 1 - 3\/((-3)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*m - 940 - 2252 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -600531399*x**3 + 27*x**2 - 5428220 wrt x?\nAnswer: -3603188394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 2. Let w(i) = -i. Let k(n) = 4*w(n) - 2*x(n). Let b(f) = -f**3 - 4*f**2 + 4*f - 1. Let q be b(-5). Determine k(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-776)\/(-80) + 7 + 248\/(-40). Find n, given that d*n**2 + 4*n - 7\/2*n**4 - 2 + n**3 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102145\/2586 + 1\/1293. Calculate the common denominator of -16\/81 and t.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 - (-7)\/3) + 64\/6 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 148 and -3604.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*41.7.\nAnswer: -166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -19 (c) -0.0314349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14485927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -332, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 6) + 13 - (4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -2 (b) 62 (c) 2 (d) -5 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 2 + 0 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1053.6 + 722.3. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - f + 3. Suppose 4*x = 3*x - 30. Let z = -34 - x. What is the units digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/15 + 2 + 8\/(-5). Is 10 a factor of 273\/6 - (-1 + k\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -162 + 2a00?\nAnswer: 285a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 + 951*g\/2 + 676134.\nAnswer: -3*(g - 1318)*(g + 684)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let x = o - -1.5. Let w = 2339 + -2339.2. Which is the nearest to -1? (a) -3 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-145)\/15)\/(8\/(-6))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-4 + sqrt(320) + -2.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(-34)*(i*i\/i**(1\/7))\/((i**(-6)\/i)\/i) assuming i is positive.\nAnswer: i**(-31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2869 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9915 divided by -1983.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 333. What are the prime factors of f\/3*(-4)\/10?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-14)\/(-56)). Suppose 3*o + r*o = 2*n + 4, 5*o + n = -2. Suppose 0 = j - 3*j + 2*k + 30, -5*j - 4*k + 48 = o. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -18, -54, -112, -198, -318, -478, -684?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-35)*(-4)\/(-32). Let c(z) be the second derivative of 1\/20*z**5 - 1\/6*z**3 - 13*z + 1\/30*z**4 - t*z**2 + 0. Let c(m) = 0. What is m?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 less than -44?\nAnswer: -44.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iltiitlitlib. What is prob of picking 2 l and 1 t?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214474348 to the nearest integer?\nAnswer: 14645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1146 - -1227. What is the smallest common multiple of w and 39?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4 = y + j, 2*j = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*m - 22*m - 22174 + 81466. Solve -430 + m = -8*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599518463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 15 + 36*s + 65 - s**2 + s**2.\nAnswer: s**2 + 36*s + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1415*h + 0 + 3*h**4 - 506*h + 2491*h + 0 - 3*h**2 to the form w*h**3 + n*h**4 + r + s*h**2 + l*h and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*q + 2 + 4, r - 2 = 5*q. Suppose -r*k + 9 = -k. Solve k - 3 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - 3) + 3 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39\/4, 3, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/575 and -73\/8.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 833 divide 920465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1389152881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 424, 848, 1272?\n\"Answer: 424*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-48))**(-1\/20)*(((((q*q**(-3)\/q*q)\/q)\/q)\/q)**(-24))**(2\/99) assuming q is positive.\nAnswer: q**(4\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 15*y + 12. Let r(u) = -3*u**2 + 14*u + 13. Let d(m) = -2*c(m) + 3*r(m). Find a, given that d(a) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163732, -163737, -163742, -163747, -163752?\n\"Answer: -5*t - 163727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:28 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1997, -6059, -12199, -20417, -30713?\nAnswer: -43087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(55)\/(-1*sqrt(5)) + sqrt(176) + 1)*-2)**2*-1.\nAnswer: -708 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(3\/11))\/(m\/((m\/m**(2\/13)*m)\/m)))**(1\/52))**(-47) assuming m is positive.\nAnswer: m**(-1880\/1859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1136*0.3366\nAnswer: -382.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 - 369 = 62*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -342\/142697?\nAnswer: -342\/142697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 177716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 7\/200*v**6 + 1\/560*v**8 + 2\/5*v**3 - 1\/70*v**7 - 1\/5*v**4 + 0*v + 7*v**2 + 1\/100*v**5 + 0. Suppose p(j) = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (1*sqrt(128) + -1)**2.\nAnswer: -8*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75.2 - 64. Let f = -11 + i. Let b = -719\/7 - -103. Sort f, b, -0.1 in decreasing order.\nAnswer: b, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -363780, -728229, -1092678, -1457127, -1821576, -2186025?\n\"Answer: -364449*z + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s - 1. Let h(i) = 7*i**2 - 19*i + 37. Let j(z) = -6*d(z) - h(z). Let y be j(10). Let u be (-65)\/(-333) + (-2)\/9. Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 1. Let t(b) = 5*b**2 + 2*b + 5. Let p = -148 - -154. Suppose -x = 5*x - p. What is x*t(i) - 4*y(i)?\nAnswer: i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1215.\nAnswer: -1\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -589.\nAnswer: 54\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 4*x**2 + 2*x + 8. Let p be w(3). Solve d + 0*d + p = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436228746 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: Let r = -41 + 48. Suppose -9*f = -r - 11. Which is the second smallest value? (a) f (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43495827 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3\/11, -0.1, 5\/3, 0.71, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 132*m**3 + 22*m + 4*m + 134*m**3 - 2*m + 3*m**2 + 2 as n*m**3 + s*m**2 + r + g*m and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10572*u - 1606948. Determine d(-152).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.3 (c) -124 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1899440872 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14560 and 127388352?\nAnswer: 636941760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 8. Calculate c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98090.9mg in nanograms?\nAnswer: 98090900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose 0 = -6*t + 3*t + 84. Suppose -z - g*z = -t. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -33. What is the derivative of c - n**4 - n**4 - 8*n**4 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:48 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-63) + 2590\/18. Let r be (v\/(-20))\/6*5. Sort 4, r, 3 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7525605 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 74, 97, 140, 209, 310, 449?\n\"Answer: b**3 + b**2 - b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + l - 2. Let m(v) = -4*v**2 + 2*v - 4. Let u = 30 - 24. Calculate u*m(n) - 13*s(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -9. Differentiate -4*r**2 + 120 + 4*r**2 - 3*r**y - 117 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 338, 340, 342, 344?\n\"Answer: 2*x + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-352)*-11*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183489 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 16*q = -75. Sort q, -6, -7 in descending order.\nAnswer: q, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(85)\/(1*sqrt(5)).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11635 and 1.49?\nAnswer: -17336.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17216 = 2*l, -5*d + 5*l + 28295 = -390. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*h - 1, -8*m + 70*h - 68*h = -18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:56 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + (2*sqrt(1980) - sqrt(1980))*1)\/(-2*-2*sqrt(11)*1).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z + 23*z**2 - 1\/3*z**3 + 1\/8*z**4 + 1\/120*z**6 + 1\/15*z**5 + 0. Calculate o(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 2884. Let b(p) = -165*p. Give l(b(z)).\nAnswer: -660*z - 2884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 6*a + 95. Let c = -19 + a. Suppose -q - 3*d - d + 52 = 0, c = 4*q - 5*d - 166. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/49)\/(48\/(-224))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = 5*n, -5*l + 3*l + n = -11. Solve -l*b - 3*k - 28 = b, 4*k + 24 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 384 and -4?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 12, -0.3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and ((-5)\/7)\/((-54)\/21)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j + 79*j = 1. Which is greater: j or -1\/110?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21455.3ml to litres.\nAnswer: 21.4553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, 2\/7, 0.3, 0.4, -0.01, 2\/111, 0?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = -4*n + 120 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q - 31. Let h(p) = -12*p - 20. Let w(l) = -7*h(l) + 5*y(l). What is w(14)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23912 and 69006?\nAnswer: 117862248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2 - 0) - 2) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290576616 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.91 + -2.09. Which is the third smallest value? (a) k (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6759 + -4.0759. Let b(f) = 3*f**3 + 2*f**2 - f. Let d be b(1). What is the closest to -1\/9 in u, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 363*j - 9180.\nAnswer: -3*(j + 36)*(j + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 211?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (180\/(-10))\/((-5)\/((-280)\/12)). What is the units digit of (86\/3)\/((-4)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8101, -16501, -24915, -33337, -41761, -50181?\nAnswer: -58591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23699, -23698, -23697, -23696, -23695?\n\"Answer: v - 23700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 42*p**2 - 3*p + 21. What are the prime factors of g(20)?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b - 6802 = -207*b + 3242. Solve 12*o - 26 + b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3250*x**2 + 2*x - 4. Let l be r(2). What is l rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let h(r) = r**2 - 10*r + 14. Let b be h(7). Let k be -1 + 4 - (-7)\/(b\/(-4)). Let c(l) = -20*l - k*l + 22*l. Calculate w(c(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 39*j = 11730. Let a = j - -811. What is the remainder when 287 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -3*g**7\/35 - 2*g**4\/3 - 18*g**2. What is the second derivative of b(j) wrt j?\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12996 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1274 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.135, -15, -0.22, -1\/6?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 1665*u + 153709\/4.\nAnswer: -(u - 23)*(u + 6683)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-5)\/7 - 1. Let l(w) = w**3 - 2*w**2 - 22*w + 6. Let t be l(-4). Let c be (3\/t)\/((-810)\/(-240)). Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5324\/726)\/((-4)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {j: 1, a: 1, o: 2, e: 1, q: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**0)**11)**(-8\/3))**(-5) assuming f is positive.\nAnswer: f**(440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421 - 419 + 840 + 79*z**3 - 58*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 242?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -702139 != -702139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 + (-12)\/(-20))\/(12\/(-1760)*1) is divided by 177.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3036716.\nAnswer: 2, 759179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -855\/35408 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 312*j + 3706. Calculate the remainder when b(88) is divided by 1\/2 + 788\/8.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*g + 1. Let w(x) = g*x - x - 3*x. Let j(u) = -540*u + 1080*u - 548*u. Determine j(w(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6911*h**2*r**3 - 2*h**2 + 9*h*r**2 + 2*r**3 - 3*r**2 - r wrt r?\nAnswer: -41466*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4374 - -19901. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 269*b**2 - 493*b**2 + 301*b**2 to the form a + p*b**2 + v*b and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*i = -f - 16, -f - 4 = i. Which is the second biggest value? (a) -30 (b) 2\/7 (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-468)\/(-208))\/(63\/(-392))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let g(h) = 2. Let i(a) = -24*a + 1. Let m be i(-1). Suppose -5*b + 115 = m. Let n(c) = -c + 9. Let w(u) = b*g(u) - 4*n(u). Determine z(w(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l. Let u be p(-2). Suppose -4*w = u, -4*b + 2*w - 2 = -w. Is (1 - -52) + b + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 146 = -3*f - 541, 2*g = 3*f + 291. Calculate the greatest common divisor of g and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(567) + 1.\nAnswer: -2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 2*t. Let i(s) = 116 + 11*s**2 - 6*s - 225 + 108. Let d(j) = 3*i(j) + 8*k(j). What is d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36772*2559\nAnswer: 94099548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 + 2 = 0. Suppose -4*t - 4*h - 8 = -0*h, 4*h + 24 = 4*t. Calculate the remainder when d is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-12) - 13375\/87954)\/((-8)\/196) and 49\/24?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 4*m - 38. Let u(o) = 6*o**2 + 5*o - 39. Let a(x) = -3365*x + 20184. Let w be a(6). What is w*u(b) + 7*f(b)?\nAnswer: -b**2 - 2*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25290045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -4 + 26 + 2 + 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-722)\/(-38))\/(-38)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 22*f**2 - 54*f - 3. Determine w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/12867 or 1?\nAnswer: 1\/12867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/144)\/(120\/1280)*(-1)\/((-8)\/1)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 9*p**2 + 10*p + 1. Let l be h(-10). Let d(r) = r + 1. Let j be d(1). Calculate the common denominator of l\/j*(-5)\/(-9) and -25\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1209 + -838. Factor -2*u**3 + q - 3*u**2 - u**3 - 371 + 6*u.\nAnswer: -3*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + (-3*(sqrt(567) + (sqrt(567) - 2*sqrt(567))))**2.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 2. Let o be u(-3). Suppose 21*n - 18*n - 15 = 0. Which is the nearest to o? (a) n (b) 3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 6. Determine m(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 2*d**2 + 0*d**2)*(-15 - 10 - 13).\nAnswer: 76*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.07, -2, -64286?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2639 - 2*w**3 - 2624 + 5263.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 14. Let z(q) = 9*q + 2. Let n(c) = 28*c + 6. Let l(d) = -5*n(d) + 16*z(d). Let p(o) = 11*o + 7. Let g(k) = 8*l(k) - 3*p(k). Give g(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -43. Put g, 1, 4 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 12*q**2 + 31*q + 26. List the prime factors of w(14).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let q be 4 - 3 - (-3 - p). Suppose -k = -0*s - 3*s + 24, -q*s + 2*k = -24. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/70)\/((-9)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 190734721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 28. Suppose r + 2*i = 7, -4*i = -3*r - 2*i + 13. Sort r, m, 6, 3 in ascending order.\nAnswer: m, 3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w. Let y(u) be the second derivative of -u**4\/12 + 5*u**2\/2 - 5*u. Let v(q) be the first derivative of y(q). Determine v(k(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**3*z + h**3 + 7*h**2 + 16*h*z wrt h?\nAnswer: 54*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**2 + 19. Let r(t) = -45*t. What is r(v(j))?\nAnswer: 450*j**2 - 855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:05 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 511 and 35?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**2 - 7*b + 2. Let j be (-154)\/(-10) + (-76)\/190. Suppose j = -148*m + 145*m. What is h(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 200076?\nAnswer: 200113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22297345*q**3 - 2*q**2 - 7044591*q?\nAnswer: -133784070*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 33. Is l != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1. Let w(p) = 3*p**2 + 8*p - 2. Suppose 3*y = -2*m - 3, 4*m - 3*y - 26 = 13. Let n(s) = m*h(s) + w(s). Factor n(o).\nAnswer: (o + 2)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489162200 rounded to the nearest one million?\nAnswer: 489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12722, -12642, -12510, -12326, -12090?\n\"Answer: 26*l**2 + 2*l - 12750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 24*d**2 + 140*d + 105. Let i be q(-14). Solve -87 = -96*f + i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -3) + 7 + -1 + 69 + -68 + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 211*t + 2 = 215*t, 0 = -3*q + t + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 3355*j**2 + 17017 wrt j.\nAnswer: -4*j**3 + 6710*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51067, 191285, 424983, 752161, 1172819, 1686957?\nAnswer: 2294575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:53 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/((-3)\/48). Let w be (-1)\/((-9)\/24)*s. Suppose 6*h - 2*h = w. What is the least common multiple of 22 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.40621 + -0.13681. Let n = -0.54 - t. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.2, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 7*x**2 - 3*x**2 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477364373?\nAnswer: 79, 1783, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -94. Suppose 5*o - h = -4*w, 0 = -w + 3*w - 8. Suppose -2 = o*f - 47. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 4*h + 13. Let x(j) = 3*j**3 + 9*j - 27. Let i = -6 - -10. Let y(s) = i*x(s) + 9*f(s). Find the first derivative of y(z) wrt z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q**3 + 21*q**2 - 60*q + 12 = 0. Calculate q.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 21. Determine n(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77535.84 months in years?\nAnswer: 6461.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 657 - 2141 = 0. Let s = c + -208. Solve 2*w + 2 = s*u, 0*w + 3*u - 3 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4 - -1)*(-44)\/(-33). Solve c = -2*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -7 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, -48, -373, -820, -1383?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = y - 0*y - 6, 4*d = 2*y + 12. What are the prime factors of ((-1)\/2)\/(d\/(-144))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -419 + 426. Let w = 32 + -49. Let x = 31 + w. What is the greatest common factor of x and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, -1\/10 in increasing order.\nAnswer: -2, -1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*v = 32, -2*r - 100*v - 18 = -103*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Let r(u) = -8*u - y - 2*u**2 + 3*u**2 + 5. Let n = -31 - -37. Determine r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 3. Let l be w(2). Let f be (4*l)\/(1 - -1). Let s(t) = 2*t**2 - 1. What is s(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n - 202 + 211 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 30 and 31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 + 0.5. Let r = i + 1.7. Let a = 0.9 - r. Which is bigger: a or 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**28)\/d)\/d**(-29))\/((d*d**4*d)\/d)**11 assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 4*z + 166)*(-4515 + 4515 + 18*z).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c**2 - 10 + 10)*(-339*c + 219*c - 1 + 191*c) as y*c**3 + u + p*c**2 + t*c and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzk when three letters picked without replacement from fkbkfkzkbkzf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.9 - 29. Let n = a - -0.2. Which is greater: -17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*t + 4)*(-2 + 0 + 1 + 6 - 2 - 2 + (2 - 5 + 4)*(0 + 1 - 3) - 2 + 0 + 3 + 3 - 2 + 0).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2176) + sqrt(2176) - sqrt(2176))\/sqrt(2))**2*3.\nAnswer: 13056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, z: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 2)*(1657*b**2 - 50*b + 26*b + 24*b + 1510*b**2).\nAnswer: 12668*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.57035 - -0.07035. Which is the biggest value? (a) 0.3 (b) -0.09 (c) 0.04 (d) 0.4 (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 2*r**2 + 14*r + 2. Give m(6).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -5810426.\nAnswer: 5810426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 5175110*t**4 - 1339083000485*t**3 - 2678181526320*t**2 - 1339093350720*t = 0. Calculate t.\nAnswer: -1, 0, 517512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8588 + 23926. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71702003 less than 1?\nAnswer: -71702002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 u, and 1 g when four letters picked without replacement from {g: 1, u: 2, m: 1, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(-t - t + 6*t) - 3*t - t + 2*t + (3 + 0 - 1)*(-2*t + 0*t + 0*t) - t - t + 0*t + (-2*t - 2*t + 3*t)*(8 - 2 + 6).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u**4 - 5*u**4 + 2*u**2 - 23 + 25*u**4 - u**3 as s*u**4 + x + b*u**2 + g*u**3 + q*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 53483 + 72533. List the prime factors of j.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let f = 7 - 26. Let x = 23 + f. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/((-21)\/15))\/(-1) - -6. What is the third derivative of -3*x**4 - 3*x**2 + 10*x**2 - 5*x**2 - z*x**6 - 4 + 4*x**4 wrt x?\nAnswer: -1320*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*b**4 - 12498*b**3*h**3 + 1410*b*h**3 - 3*b*h - 334*b wrt b?\nAnswer: 1092*b**2 - 74988*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 + 261\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4650 = 4*y + 94. Suppose -y + 219 = -2*a + c, 4 = c. Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 - 7\/6*m - 5\/6*m**2 - 1\/6*m**3.\nAnswer: -(m + 1)**2*(m + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(36\/(-33)) + (-3)\/4. Let y(n) be the third derivative of 0 + 0*n - 1\/6*n**3 + n**c - 1\/6*n**4. What is the derivative of y(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2 + 2 + 10*m. Let u(i) be the third derivative of 0 + 0*i**3 - 35*i**2 + 0*i - 1\/24*i**4. Calculate a(u(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzg when three letters picked without replacement from {y: 1, z: 8, v: 1, t: 1, g: 1, r: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*q**2 + 2*i**2*q + 26339*i*q**2 + 5*q**2 - 118527*q wrt q.\nAnswer: 6*i**2 + 52678*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-3) - (-1 - -380). Let n = -223 - r. Suppose 0 = -z - 3*f + 5*f + 7, 3*z = -3*f + 66. Calculate the highest common factor of n and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 435\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 17, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (1 + -3 - 3\/9). Sort -15, c, -0.2 in ascending order.\nAnswer: -15, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045894 to 7 dps.\nAnswer: -0.0000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 3876*p**2 - 7743*p + 3870.\nAnswer: -3*(p - 1290)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12717?\nAnswer: -12717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 5, r: 4, z: 5, u: 3}. What is prob of sequence ureu?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -0.1. Let l = -0.16 + 1.36. Let i = l - 0.7. What is the nearest to r in 1\/10, -1\/11, i?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 5}. What is prob of sequence sj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/710168 and -5\/1242794.\nAnswer: 4971176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22742917079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46193 is divided by 23094.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072772121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 194654 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = 2*c - 14, -3*c = 3*o - 3. Let t(r) = -6*r**2 + r - 8. Let x be t(-6). Let m be 8\/(-44) - x\/55. Solve -2*v = -m*v - o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 798, 1601, 2406, 3213, 4022, 4833, 5646?\n\"Answer: o**2 + 800*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -79941\/655 > -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1 - -5) + 148 + -147?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75518*s - 243747 = -71649*s for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 3. Let o be l(10). Let q = -4 - o. Let p be -1 - -3 - -1 - q. Solve p*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = 40*w - 318. Let v be ((-3)\/(-4))\/((-2)\/(-32)). Solve -4*k + v = -3*x, w*x - 2*k = 3*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-30) - (1104\/(-15))\/1. Let k = 76 - j. Factor 73 + u**3 + u**5 - 4*u**4 - 4*u - 81 + 10*u**k + 0*u.\nAnswer: (u - 2)**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2 - -9*1. Suppose 4*x - k = -2*h, 4*x + 0 = 3*h + 35. Suppose 4*c - 7500 = x*c. Round c to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3904 and 3920104.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 + 1995?\nAnswer: 1a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39529 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - o + 2*o - 160, -u + 98 = 5*o. Let a(l) = -l**2 - 6*l - 3. Let w be a(-5). Suppose w*y = -y + u. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/87605904 and -71\/10?\nAnswer: 438029520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*-1*-2 - (6*(sqrt(117)*-1 - sqrt(117) - sqrt(117)) + sqrt(117))))\/((sqrt(108) + sqrt(108) + -6*(sqrt(108) - sqrt(108)*1))\/(sqrt(768)*1)).\nAnswer: -380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131224 and 87608.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*p**2 + 425*p**2 - 232*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*d - 147 - 659 = 412*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207588.\nAnswer: 2, 3, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1011*k**2 + 4. Let r(l) = -1014*l**2 + 3. What is -4*r(c) + 3*t(c)?\nAnswer: 1023*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 133*h = 414 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 102. What is the remainder when j is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1238, -1201, -1164, -1127?\n\"Answer: 37*x - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 5*z**2 + 6*z - 1. Let a be q(6). Let s be 12*a*4\/(-3). Suppose 2*m = -2*m + s. Solve -3*k + 2*o = 9, m*o - 4 - 4 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) 1\/6 (c) 0.9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172408 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 84*o**2 - 392*o + 25647. What is m(83)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 at most as big as 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 27*b**4\/4 - 573747*b**3\/4 + 7703533*b**2\/2 + 4414328*b + 1188488 = 0.\nAnswer: -2\/3, -4\/9, 28, 21223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13545 - -4?\nAnswer: 13553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 5*l**2 - 18*l - 35. Let q(t) = -t + 1. Let p(z) = 2*m(z) + 4*q(z). What is the first derivative of p(a) wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuuouwuoowowwuwoww. Give prob of picking 3 o.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8456 and 7550.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 4)*(-y - 6 + 6) - 4*y + 2*y + 0*y)*(-2*y**3 + 3*y**3 + 0*y**3) to m*y**3 + b + t*y + h*y**4 + f*y**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -644*u**2 - 1156 + 2522*u**3 + 53*u**2 + 591*u**2 wrt u?\nAnswer: 7566*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/(-380)*(-6)\/63*(0 - 5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 - -11110111010111110?\nAnswer: 11110111100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-189)\/(-49) + -4)*1. Which is the second smallest value? (a) 2\/17 (b) z (c) 58 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f. Suppose 9*m - 8 = m. Let z be m - 17\/(-310)*-18. Is f at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Let j(f) = 4*f + 9. Let z be j(4). Suppose o*h - 10 = z. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**2*t)\/t)\/((t\/(t\/t**(-3\/4)))\/t))\/(t**(-1\/3))**(2\/9))\/((t*t**(-2\/7))**5*t**(-4)*t*t**0) assuming t is positive.\nAnswer: t**(3215\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31506214?\nAnswer: 2, 67, 191, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/(h*h*h*h**(1\/5)*h*h*h*h))\/h)**(-46)*h**8*h*h**5)**(2\/15) assuming h is positive.\nAnswer: h**(844\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 5*c - 5*c)*(-1 + 6 - 4)*(21*c - 15*c - 42*c).\nAnswer: -144*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from krkddkf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - b + 0*b)*(6 - 1 - 4) - 22 + 219*b - 15 + 35 as l + z*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, 0.4, -2\/19, -41, -0.4, -4?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 6*s - 11*s - 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1104 divided by -161.\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32284052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 2, l: 1, e: 1}. What is prob of sequence lf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in -1\/5, 193, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*i + 1207*i - 3981 - 5513 = 0 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/56479 (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184452070 and 50.\nAnswer: 922260350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 4\/3 (c) 2\/5 (d) 277 (e) 236\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 + v + 2. Suppose -q - 31 = -29. Let d be m(q). Is 2\/((-20)\/(-786)) + d\/60 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 21 + 5 = 0. Let z be (t - -1) + -1 - -1. Let b(i) = 10 - 5*i + z*i + 7*i. Let d(p) = -3*p - 2. Give -2*b(m) - 11*d(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1060, -4287, -9666, -17197, -26880, -38715, -52702?\n\"Answer: -1076*k**2 + k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose -q = -a - 1. Let u be 10\/14*a\/10. Is -0.1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1\/2*n**2 + 2 + 2*n. What is the derivative of r(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 11. Let h be q(4). Let w be ((-3 - h)*-1)\/2. Suppose 4*y = 3*s - s + 218, w*s - 212 = -4*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 - 3495*b**2 + 1291176*b - 146264076 = 0?\nAnswer: 217, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035198523 rounded to five decimal places?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - q**4 - q**4 + (q - q + 2*q**2)*(2*q**2 - 3*q**2 - q**2) - 10*q**3 + 15*q**4 + 10*q**3.\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3149?\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497315227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 272362973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 168. Determine r(-39).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 18*k + 490. Let l(a) = 21*a + 19*a - 5*a + 46 - 11 + 65*a**2. Let h(b) = -11*b**2 - 6*b - 6. What is k*h(w) + 6*l(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (4*sqrt(240))\/((sqrt(21) + (sqrt(84)\/sqrt(4) - sqrt(21)))\/sqrt(7)))*5 + -1)**2.\nAnswer: 79200*sqrt(5) + 809801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 0, -2*h - 3*m + 4 = -8. What is the remainder when 124 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/46))**7 assuming y is positive.\nAnswer: y**(315\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699065 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + 0*y)*(1 - 3 + 0) + 3 - 3 - y + 611 + 5*y - 218 - 268.\nAnswer: 8*y + 125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/154)\/((-6)\/21).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*p = -2 + 7, -4*p - 9 = -5*a. Suppose 3*k = -1 + a. Suppose k = 9*h - 5212 - 2789. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 211209 and 3573?\nAnswer: 251549919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/24 and -7\/1464?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/(13 - 3) + (-58)\/(-7). Which is the closest to n? (a) 1\/8 (b) 1 (c) -0.3 (d) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1511 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777.161 hours in minutes?\nAnswer: 166629.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-8))\/(15\/(-72)))\/((-9)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64, 63, 62, 61, 60, 59?\n\"Answer: -u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 22*l**2 + 597*l - 4911. What is c(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 + r. Let k be z(5). Suppose -k*h - 3 - 2 = 0. Let p be (-1 - -2)*(-4 + h). Which is the second smallest value? (a) 1 (b) p (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14*22\/308)\/((4\/(-1))\/(-8))*-8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v + 0*v + 0*v)*(-5*v + 6 - 6 + (-2 + 2 - 2)*(-v + 4*v - 4*v) + 3*v + 0*v - 4*v) to z + k*v + f*v**2 and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-14) - (-4770)\/5565?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33.3, 0.121, -0.19, 0?\nAnswer: -33.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*g = -3701 - 5165 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -208 in 7\/150, -17, 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3204676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11635, -18489, -25341, -32191, -39039?\n\"Answer: t**2 - 6857*t - 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**3 - 5 + 7*s**3 + 8*s**3 + (-s - 2*s + 2*s)*(3*s**2 - 6*s**2 + 4*s**2).\nAnswer: s**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 330880751, 330880750, 330880749, 330880748, 330880747?\n\"Answer: -s + 330880752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 683, 810, 983, 1196, 1443, 1718, 2015?\n\"Answer: -q**3 + 29*q**2 + 47*q + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -25. Let i be 24\/5 + (-2)\/a. Solve -16 = -3*m - 4*t, -11 = 2*m - i*m + t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 28641 = -r - 9735, -3*t = 5*r - 94530. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 - 456 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -4. Let t = q - -4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-128)\/(-7) + (-2)\/7. Let l = 20 - 8. Let r = l - 8. Solve 3*y - v + o = 0, 0 = -2*y + v + r*v - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*j + 2*t - 47, 5*t + 71 = 4*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3552.63 - -240.73. What is p rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 31*u**7\/210 - 7*u**5\/30 + 14*u**2. Find the third derivative of f(a) wrt a.\nAnswer: 744*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + 2*sqrt(39) - sqrt(39))*-4 - sqrt(351)\/sqrt(729))\/((sqrt(30) + sqrt(120)\/sqrt(4)*-5)\/(sqrt(110)\/(sqrt(22)\/sqrt(2)))).\nAnswer: 73*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4 + 2*i + 15*i**3 - i - 14*i**3 - 4*i**2 + 2. Let j be f(4). Let -4*w**5 + 41*w**4 + 0*w**3 + 4*w**j + 4*w**3 - 45*w**4 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*y + 17. Is (34625\/(-75))\/(1\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-356480)\/(-11140)*2\/40?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0557 plus -0.050303794?\nAnswer: -0.106003794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 1335, 2914, 5099?\nAnswer: 7890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 3*o**2 + 2*o - 4. Let f be x(3). Let m be (-10)\/4*16\/(-10). Let a = f + m. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1 - 11\/6*h**3 - 3\/2*h**2 + h. Give v(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931230 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -49544 divided by -1126?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -399511, -399526, -399539, -399550?\n\"Answer: b**2 - 18*b - 399494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/84086412 and 107\/91764?\nAnswer: 252259236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697991.5 rounded to the nearest ten thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207394 and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-160)\/(-84)) + (-11232)\/(-1134). Let x = -0.1 + 0. Which is the closest to -0.5? (a) x (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*k + 11. Suppose -5*f + 5 = 20. Does 12 divide k\/f + 2336\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -2\/17, -0.1, -94\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0 + 0*n**2 + 1\/3*n**3 + n. Let m(p) = -703*p - 680*p + 1330*p. Calculate x(m(s)).\nAnswer: -106*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 585*f**4 - 12*f**2 - 32?\nAnswer: 14040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1268 - 1259) + 0 + 1 + -41.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*a*m**3*t - 18*a*m**3 - 613*a*m**2*t + 2*a*t + 2*a - m**2 wrt m?\nAnswer: 132*a*t - 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, and 1 b when three letters picked without replacement from kqkqbkk?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 49 = 5*q. Let p(z) = -z - 29. Let d(x) = x + 23. Let w(f) = 6*d(f) + 5*p(f). Give w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/11 + 34*n**2\/11 - 1028*n\/11 - 2176\/11 = 0.\nAnswer: -32, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(320))**2 - sqrt(15)\/(sqrt(3)*-1*-4).\nAnswer: 63*sqrt(5)\/4 + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7884 is divided by 70.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 - 149 - (-27 - -13 - 12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 505862 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-135)*-3 + (-7)\/((-630)\/(-24))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744792 plus 97028?\nAnswer: 2841820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 22*h**5 - 42*h**4 - 4*h**3 + 44*h**2 - 18*h - 2 = 0.\nAnswer: -1, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3. Let u(v) = v**2 + 6. Give -3*o(g) + 5*u(g).\nAnswer: 2*g**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 69, 164, 309, 510, 773, 1104, 1509?\n\"Answer: j**3 + 16*j**2 - 4*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 63 - 63.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14283 divided by 621\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 1, w: 11}. Give prob of sequence rrt.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 249551.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 74253513914.\nAnswer: 74253513906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + j - 28 = -20*h, -2*j - 2 = 2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(-6*sqrt(54)) - (-4 + -2*(-1 + sqrt(5)))**2.\nAnswer: -24 - 145*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 139769531.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111202398 to the power of 1\/3, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4635 = -5*k, 5*k + 3*l = 6*k - 933. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/24 + d**5\/15 + 5*d**4\/8 + 7*d**3\/6 - 17*d**2 + 3*d. Let x(r) = -2*r**3 - 2*r**2 - 7*r - 3. What is -3*h(a) - 7*x(a)?\nAnswer: -a**3 + 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 37000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30114a0 (base 11) to base 15\nAnswer: -704969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 5 + 5 + 6*w to a*w + o and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 12 = 34*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(2\/7)\/h))\/h)\/(h\/((h\/h**(1\/11))\/h)*h))**(-41)*(h*h**(-2\/5))**(19\/2)\/(h**(-1\/2))**26 assuming h is positive.\nAnswer: h**(57859\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 2. Let d be n(3). Let w be 2\/d*(-1 - -2). What is the nearest to w in 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 188.926ug?\nAnswer: 0.188926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -375001*p**2. Let q be y(2). Suppose 0*r = 3*r + 4*z + 14, -4*r + 4*z = 0. Let x be q\/r - (1 - -1). Round x to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886624.4l in millilitres?\nAnswer: 886624400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 4798*v\/7 + 1372.\nAnswer: -2*(v - 2)*(v + 2401)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 100 = -5*g. Let t = 37 + g. What is the remainder when 32 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-6)*12\/(-180).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77477*k**5 + k**4 + 3847*k**2 - k + 6 wrt k?\nAnswer: -4648620*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*v + 46. Let z(i) = 4*i**3 + 11*i**2 - 8*i + 19. Let n(s) = 5*s**3 + 11*s**2 - 8*s + 18. Let h(d) = -5*n(d) + 6*z(d). Does 26 divide h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 2*k + 2*k + 2*o, 5*k - 791 = 3*o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462884237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 29*k - 9*k - 12*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87, -98, -107, -114?\n\"Answer: j**2 - 14*j - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116250*p**4 + 1196*p - 47?\nAnswer: -1395000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 7. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -344630\nAnswer: 1\/172315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.011 + 19.911. Round w to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6889596632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 82.9.\nAnswer: 7.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Suppose 2*q + 2*z = 3*z - 7, -z - 11 = q. Let c be (-2)\/q - 14\/(-3). What is the smallest value in l, -0.5, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnlllnn. Give prob of picking 3 n.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -139311504 rounded to the nearest 10000?\nAnswer: -139310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*q + 2*n - n, 5*q + 5*n - 25 = 0. What is the units digit of (-1 + 4)*24\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, w: 1, y: 8, u: 5}. What is prob of sequence wy?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19017)\/(-44373))\/(117\/14).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21303 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 2. Let j(m) = 3*m**2 - 3*m - 30. What is j(t) - 15*n(t)?\nAnswer: 3*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23364343 to the power of 1\/2, to the nearest integer?\nAnswer: 4834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i + 9*i + 2*i. Let p(m) = 571*m - 9. Let g(w) = 555*w - 6. Let s(o) = -3*g(o) + 2*p(o). What is l(s(r))?\nAnswer: 523*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1180*y - 2 + 1060*y - 2238*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 41, 76, 121?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 37*q**2 + 33*q**2 + 31*q**2 - 99*q**2. Let f(c) = 19*c**2. Determine d(f(w)).\nAnswer: 722*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 1.6.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1740656\/909)\/8*(-5)\/(-10). Let z = n - 14\/909. Which is greater: z or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 112*o**2. Let p(m) = 5*m**2. Give p(y(w)).\nAnswer: 62720*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 13. Let p = c - 2. Suppose -13 = -p*m + 21. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**2 + 4165*p - 4165. Determine l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 7*h - 2*h - 42, 2*w + 2*h = 44. Suppose 5*t = -3*s + s + 39, -2*t + w = s. Solve -2*m - 3 - s = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17773 - -0.47773. Let n be (2\/(-7))\/((-1)\/3). Which is the third smallest value? (a) p (b) -4 (c) 0.2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-5 - -2) - -14*4\/(-140). Which is bigger: 8\/113 or w?\nAnswer: 8\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 5, 1026\/23 in descending order.\nAnswer: 1026\/23, 5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 - 8*y - 6. Let w be k(-7). Let i = w + 24. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 54 = -49*x + 50*x, -2*x - 2*h - 100 = 0. Is 1\/6 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + c - 3. Let q be h(1). Factor -273*s**q - 16*s**2 + 277*s**3 - 72*s**2.\nAnswer: 4*s**2*(s - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(65\/6)*14\/(-14)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) + -1 + (-140)\/16. Let l(w) = w + 5. Calculate l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.009 - 100.991. Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/24)\/(-11*13\/(-2002))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdm. What is prob of sequence cd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -114.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02521 - 2?\nAnswer: -1.97479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 + -68. What are the prime factors of h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(2*2\/(-8)). Let y be 16\/(-12)*30\/(-8). Suppose x - y*x = -w. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 64*d - 782. Calculate a(-11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31830 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 274, 576, 988, 1504, 2118?\nAnswer: 2824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-1 - 1 - 3). Solve -n*m = 1 - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 172. Solve i*h - 5*h = 3*v + 35, 4*h - 4*v - 40 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830913315 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5600001*a**3 + 3*a**2 - 2*a. Let y be b(2). Round y to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103525471 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.81 + 17.19. What is the third smallest value in s, 1\/3, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(120)\/(-1*sqrt(8)) + sqrt(165)\/sqrt(99))\/(sqrt(33)\/(-4*sqrt(176) - sqrt(11))).\nAnswer: 34*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (0 - 2) - -4. Let t = -767 - -771. Suppose t*o - 5 = a - o, j*a = o - 1. Solve a*r - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1\/5 (c) 2 (d) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*y + 132 + 33, 3*y = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17045375.\nAnswer: 5, 19, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9576670*c**2*l**3*q - 2955*c**2*l**2*q + 2*c**2*l**2 + 3*c**2*q - 393*l*q wrt l.\nAnswer: -57460020*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 4, h: 4, e: 2, q: 1, d: 2}. What is prob of picking 1 o and 1 h?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5248000 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u = -4. Let n(m) = -3*m**2 - 2*m**2 + 6*m**u. Let c(g) = -10*g + 7. Let o(p) = -9*p + 6. Let v(i) = -6*c(i) + 7*o(i). What is v(n(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4 + 12867*j**3 + 2*j**2 - 29431*j wrt j.\nAnswer: 72*j + 77202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -88, -133?\n\"Answer: -45*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 8. Let t be w(6). Solve 19 = -z - 5*b, 0*b - 5 = t*z - b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20011111231 (base 4) to base 7\nAnswer: -24003622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or -293180?\nAnswer: -293180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4620.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((42\/4)\/7)\/(24\/3712). Solve 0 = 237*i - v*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -12)*((-40)\/(-34) - (-117)\/(-663))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 47. Sort m, 23, -2.\nAnswer: -2, m, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157.9993 micrometers to centimeters.\nAnswer: 0.01579993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(2\/3). Let p = v + 0. Let c = 1.3 - 4.3. What is the closest to -1 in c, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f = -23*f - 384. Let q = f - 13. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.076 + -1.776. Let k be 1*5*8\/20. Suppose -k*o + o = -2. What is the nearest to -1\/4 in 3, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4494 + -4935. Put -3, 0.3, z, -0.5 in increasing order.\nAnswer: z, -3, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/(-25) + 6 - 12)\/(((-9)\/(-10))\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/231*3)\/((-47)\/((-521136)\/48)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 + 4*d + 4. What are the prime factors of w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -580009, -2320001, -5219981, -9279949, -14499905?\n\"Answer: -579994*f**2 - 10*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 13*j + 1. Let b(l) be the third derivative of -l**4\/4 - 113*l**3\/6 - 2*l**2 + 34. Let y be b(-21). What is w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.3, -5, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (8\/(-3))\/(8\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -115. Let c = b - 15. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694118 to the power of 1\/2, to the nearest integer?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/90 and 19\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -2*y, 2*y + 51458990 = 2*j. Suppose 3*n - j = 3370501. What is n rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 26. Sort 6, 0, q, -2 in descending order.\nAnswer: 6, q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-2250)\/(-27)*-3?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 193, 379, 561, 733, 889?\n\"Answer: -t**3 + 4*t**2 + 181*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*i + 177*i - 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1899 + 2421. Calculate the greatest common divisor of 270 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddddudu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 50*b - 443. Give q(-9).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 8*l + 16. Let f be z(-6). Let i(q) = -q + 5. Determine i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)\/(k\/(k*k\/k**(6\/7)))*k**(-2\/25)*k\/k**8 assuming k is positive.\nAnswer: k**(-3314\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 2751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1016 and 7664?\nAnswer: 973328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64255.52 millilitres to litres.\nAnswer: 64.25552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12278 or -2465?\nAnswer: 12278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200.9 - -200.6. What is the closest to 4 in -0.4, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 22*f**2 + 26*f - 3. Calculate g(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 0 + (-42 - -17 - -16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 16. Let d be c(12). Let o be (d\/12)\/(1\/(-15)). Let b be ((-10)\/(o\/(-5)))\/(-2). Which is smaller: -4\/19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -4*o + 56, 7*o - 48 = 2*t + 5*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 9:09 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -725, -41 in descending order.\nAnswer: 5, -41, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 183*f**2\/2 + 741*f\/4 + 9\/2.\nAnswer: 3*(f + 2)*(122*f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + j**2 + (3*j - 3*j - 2*j)*(4*j - 5*j - 6*j) - 5*j**2 - 4 + 2 + 2*j**2.\nAnswer: 12*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1622*c - 132 = -1633*c. Let z(g) = 13*g**2 - 13*g - 9. Let l be z(3). What is the highest common divisor of l and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**2 + 2*t - 2. Let z be y(2). Let g be (-1)\/(-2) + z\/(-4). Let w = g + -5. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29728745861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7670982 and 0.073.\nAnswer: 559981.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 51 = -5*k + 42, 3*k = 5*o + 41 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*f**2 + 2 - 744*f**2 + 3 - 5 + 1814*f**2.\nAnswer: 332*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**6\/360 - d**5\/40 + d**4\/12 - 7*d**3\/3 - 6. Let s(g) be the third derivative of y(g). Give s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c**2 + 5*c + 227. Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 646571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 - (-4)\/(-18). Suppose u*f = -f - 1. Is f equal to -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29140.\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 13281?\nAnswer: 53124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - 6*r - 4. Suppose 0 = -a - l + 6, 0*a - a + 10 = -3*l. Suppose 4*h = a*h + 12. Determine g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3227, 3212, 3207, 3218, 3251, 3312?\nAnswer: 3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12*x = -28. Which is greater: x or -7\/8?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.515 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2.42. Let z = 0.02 + x. Let h = 4 - 1. What is the second smallest value in -3\/8, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291736 and 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2.595, -7, 0.058, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/62)\/((-264)\/(-176)))\/(1*-1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33670 - -33860.83. Let n = h + -177. Let y = n + -14. What is y rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15094, 30144, 45180, 60202, 75210, 90204, 105184?\nAnswer: 120150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*(-112)\/(-840)*15?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -956 divided by 956\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/v)\/v)**(3\/14) assuming v is positive.\nAnswer: v**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 110*d - 92 + 43 as h*d + t and give h.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2033, -2035, -2035, -2033?\n\"Answer: c**2 - 5*c - 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1\/8 (c) 73 (d) -30\/229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -4929?\nAnswer: -4927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(66)*-3 - sqrt(66))\/sqrt(11) - sqrt(6))\/sqrt(3).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/4 - 253*n**2\/4 = 0.\nAnswer: -253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8393, 8741, 9091, 9443, 9797, 10153, 10511?\n\"Answer: g**2 + 345*g + 8047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -587 (base 10) to base 8.\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*p + 4*v - 4, -p + 3*v - 8 = 0. Let i(d) = -2*d + 7. Suppose 2 = -4*f + 18. Let l be i(f). Sort l, p, 2, 6 in ascending order.\nAnswer: l, 2, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*5\/(-125)*-10*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/4)*w)**6*w\/(w**2*w*w)*w**2 assuming w is positive.\nAnswer: w**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*s = 70, 2*c + 16 = 4*c + 5*s. Suppose 3*p + 0 + c = 0. Is (-36)\/(-6)*(-14)\/p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (176\/(-8))\/(0 - 1). Let v be 8\/48 + t\/(-36). What is the closest to 1.2 in -1\/5, v, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/132 and 103\/18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*v = -7*v + 5, v + 18 = -3*p. Suppose -2*g - 9 = -b, -b + 2 + 11 = -3*g. Let y be (-576)\/45 + b\/p. Sort y, 5, 4.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26177201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1055 and 2.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 19\/87 (d) -2\/17 (e) 2\/15 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, 86, 4, 2\/7 in decreasing order.\nAnswer: 86, 4, 2, 2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.4, -37, -2\/7, 0, -372?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*h = 3*p - 19, -3*h = -12. Suppose p - 4 = -y. Differentiate -y - 27 - 9*x + 4 - 3*x with respect to x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -332 (b) -1\/3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from qybqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 24*l**3 + 12*l**2 - 12*l - 12. Let b(g) = g**3 - g**2 + g + 1. Calculate 24*b(a) + 2*h(a).\nAnswer: 72*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from llllldlddld?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-504)\/140*(-2 + 1). Which is smaller: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -561*a + 576*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2*777\/(-240)) + ((-3978)\/(-780))\/51?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**5\/30 - 5*b**4\/24 - b**3\/6 - 3*b**2. Is 24 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 less than -9247357?\nAnswer: -9247356.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458*w + 468*w = 672110. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236163824 divided by 16.\nAnswer: 14760239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.53 * 19.\nAnswer: 86.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 + (-3 - ((9 - 18) + -13))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221.0999878 + -221.1. Round b to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (4 + -3 - 2) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 12 (c) 2\/15 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 - 14 = 5*g, -4*g = a - 3. Suppose -4 = j - 0, 2*j + 8 = 2*y. Put 2, y, 1, a in descending order.\nAnswer: a, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -116. Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.45, 3, -87178 in decreasing order.\nAnswer: 3, 0.45, -87178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6125300 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1050))\/(((-56)\/(2016\/138))\/23)\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = -i, 3*z + 2*i - 15 = 4. Let q(h) = -h**2 + 3*h - 2. Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17029 - -1593.77029. What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -840.085849 - -840.1. What is t rounded to four decimal places?\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by 2\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*t = 34*t - 30*t + 7416 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h. Suppose h = -p - 0*p - q + 125, 16 = 4*q. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -300 + 4*j + 300 as b + f*j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 - -0.337385?\nAnswer: 0.217385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94049, -94045, -94037, -94025, -94009, -93989?\n\"Answer: 2*b**2 - 2*b - 94049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19925011 is divided by 4990?\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 20 (c) 0 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 244\/(-36) + 3. Suppose -4*l = -4 - 12. Let o = 3 - l. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 291460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 - 2\/(1*(-14)\/21) and 274.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12708 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/((-56)\/(-324)) - 14. Solve -v + 43 = 6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68118.08 centuries?\nAnswer: 81741696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-3)*d)*d**(-2\/9)*(d**1\/d)**(-2\/59) assuming d is positive.\nAnswer: d**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*z**5 + 9502*z**4 + 3148*z**3 - 698830*z**2 + 838028*z - 151776 = 0 for z.\nAnswer: -9, 2\/9, 1, 8, 527\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132578238 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-351)*-3)\/((-5)\/(-30)). Let i(r) = r**3 + 4*r**2 - r - 2. Let u be i(-4). Suppose 5 - 11 = u*g. Sort g, a, 4 in descending order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 12*a**2 + 4*a - 2. Let f be y(-8). Let x be f\/(-9) - 14\/63. Suppose -l - 2*j = j - x, 5*l = 4*j + 65. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a8040 - -39?\nAnswer: -27a8002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-20)\/10. Which is the nearest to -4\/5? (a) -2\/3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 448577848 to the nearest integer?\nAnswer: 21180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 824248 > 824247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 46*j**2 - 1. Let t be d(1). Let o(q) = 2*q + 2. Calculate the lowest common multiple of ((-16)\/(-10))\/(6\/t) and o(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-23144)\/(-60) - (-4)\/(-10)). Let c = q - 1516. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 189*m**2 + 27. Let v(n) = 27*n**2 + 4. Let a(c) = 4*i(c) - 27*v(c). Let q(d) = 2*d. What is a(q(t))?\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 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: Suppose 4*r + 156 + 96 = 0. Let p be 4\/(-18) + (-14)\/r. Solve p - 3 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34362867 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3824 in 0.25, 3\/4, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439 - -443. Let x**4 + 96 - 5*x**4 + 5*x**4 - 152*x + 48*x**3 - 4*x**4 + 12*x**2 - x**d = 0. What is x?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4 - 0) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = 5*s - 6, u + 2 = -s. Let z = 53 - 56.6. Let i = z - -4. Put i, s, -4 in descending order.\nAnswer: s, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*u + 73*u + 240 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 37. Let h be j(-16). Let b(f) = 8*f - 8. Let w(o) = o - 1. Let k(n) = h*w(n) - b(n). Let t = -68 + 70. Give k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-206)\/(-8) - (-56)\/(-64)*(-71 + 73)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.02 + -0.02. Let j = -541.85 + 541.75. Which is the smallest value? (a) j (b) -2 (c) v (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*((-10)\/(-4) - 2). Suppose 5*l = -s - 5795, -s = -5*l + c*l + 5803. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 24849616*a\/7 + 77187926918432\/7.\nAnswer: 2*(a + 6212404)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 + -93. Suppose 2*q - 26 = -d, 2*q + 102 = 2*d + 20. What is the remainder when p is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {m: 3, o: 5, e: 5}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**6\/30 + t**3\/3 - t + 5. Let x(p) be the first derivative of z(p). What is the second derivative of x(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 19 (c) -1993 (d) -41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -18. Find the third derivative of -16 - x + 11*p**6 + 37 + 15*p**2 wrt p.\nAnswer: 1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16258, 32515, 48772, 65029?\nAnswer: 81286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -493 + 493 - 643*p + 2477*p as b + w*p and give w.\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143432?\nAnswer: 2, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/182 + 550\/(-2200)*(-16)\/14.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 2*v**2 - 5. Let l be f(4). Suppose -4*s = 0, 4*s = j - 0*s - 8. Suppose 0 = 7*t - j*t + 27. What is the greatest common factor of t and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1008) + sqrt(28) + sqrt(112))**2 - (sqrt(7) + (-2 + sqrt(1008) - sqrt(1008)) + sqrt(7))**2*2) + -1.\nAnswer: 16*sqrt(7) + 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64004*c**3*r**4 + 19*c**3*r**2 + 5*c**3 - 258*c*r**2 wrt r?\nAnswer: -1536096*c**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 6*x - 30 = 15*x - 3*t, -10 = -2*x + 4*t for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, 452922, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 120, 120, 122, 126?\n\"Answer: c**2 - 3*c + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:15 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (0 - -4)\/1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*80\/(-160)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900 is divided by 470.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + (-13 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*m - 271*m - 82*m - 164400 = 1328*m for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1161)\/86)\/((-279)\/(-434)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 8. Let t be k(-6). Solve 10 = -j + t*z, -j = -z - 2 + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:21 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10221*b**4 - 451 wrt b?\nAnswer: 40884*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 25 = -2*k. Suppose k*q = -1 + 11. Calculate the lowest common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -347 (c) 8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfmnf. What is prob of picking 1 f and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(133)*2 + sqrt(133))*-1 - sqrt(133)*-2*-1)\/((1*2*sqrt(84))\/sqrt(12)) + 3.\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*d = 538, -3*s - d = -130 - 197. Let o = -166 + s. Let t be ((-42)\/o)\/(2*1\/8). Solve m - 5*m = -c + 15, 0 = 4*c + t*m + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ackhwhwo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - o)*(-24 + 85 - 31).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 2*v**3 - 5*v**2 - 2*v**2 - 3*v**2 + 2*v**3 in the form i*v + h*v**3 + t*v**2 + n and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05669 - 17.05669. Sort x, -2.8, -5.\nAnswer: x, -5, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700 + 676 - v**3 - 1306.\nAnswer: -v**3 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -44. Let o = i + -21.3. Let s be 1*(0\/1)\/1. Which is the nearest to 0.2? (a) s (b) 3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/8, -4, -1.1, -0.01?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.725 * -3.156.\nAnswer: -8.6001","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-2)\/120*-8). Let w be (17 - 2)\/(2 + -1). Let f = w + l. What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Let y(c) be the second derivative of 0*c**2 + 125*c + 0 - 39\/2*c**3. Calculate y(n(b)).\nAnswer: 117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 2*z + 1. Let s be x(1). Let p = s - -22. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -162*r - 81. Give i(-4).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (6 - -1) - (22 + -23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662 (base 15) to base 9.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/418 - -5749\/627. Find the common denominator of z and (59 - 1)*1\/(-44).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128)*-1 - -4*(sqrt(128) + sqrt(128) + 1))**2 - (-2 + sqrt(288) + sqrt(450)).\nAnswer: 421*sqrt(2) + 6290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(90) - sqrt(90)*-2).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2128 and -111\/4942280.\nAnswer: 9884560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -17*r. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 + 12)*(1 - 4 + 0)*(-3*z**4 + 3*z**4 - z**4).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*m - 152*m + 449*m - 142*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2034558 divided by -2\nAnswer: 1017279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.1 - -14.1. Which is the third biggest value? (a) -0.3 (b) -3 (c) 0.4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -646.0537 - -0.0537. Let i = 645.9567 + h. What is i rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.001002 * -77\nAnswer: -77.077154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 53. Suppose 5*k - 1450 = -3*p, c*p + 0 = -15. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktttrrttkrr. Give prob of picking 1 r, 1 t, and 2 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10085.28 or 189\/2?\nAnswer: 189\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**7\/21 + f**6\/5 - 9*f**5\/5 - 16*f**4\/3 + 32*f**3 - 2*f + 58. Let x(m) = 0. Calculate m.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 5536354497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-3)\/(-2)*145\/348 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p - 0. What is the tens digit of (-1)\/p - 1614\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 173 in descending order.\nAnswer: 173, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105231 - 40*w**2 + 315699 - 105233 - 105237.\nAnswer: -40*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19420657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, -54, 4 in decreasing order.\nAnswer: 4, 3, 1, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 + (4 - 6))) + (-46 - -6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 17*o**2 + 20*o + 49. Let i be x(-18). Solve 23 = 9*k - i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 10*d. Let i(g) = 21*g. Let p(k) = 3*i(k) - 7*x(k). Let v(q) be the third derivative of -q**5\/15 - 12359*q**2. What is p(v(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 83*h - 68. Let p(a) = 45*a - 34. Let s(f) = 11*p(f) - 6*r(f). Calculate s(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pakyeyeeeky. Give prob of sequence ka.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2968350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684*x - 1413*x + 705*x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13524336041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 31*m**2 + 620*m + 1268. Let r(j) = -105*j**2 - 2067*j - 4227. Let k(w) = 27*d(w) + 8*r(w). Factor k(h).\nAnswer: -3*(h - 70)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*v - 14 = 6, -3*v = -i + 1. Is (i\/(-7))\/(-2*(-1)\/(-170)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4577 - 3510. Calculate the highest common divisor of 582 and x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -655.\nAnswer: -15720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 187558 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 0*s**4 + 0*s**4 + (2*s**3 + 2*s**3 - s**3)*(3*s + 4 - 4) - 7*s**4 + s**4 + 11*s**4.\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 - 169*w**2 - 61*w - 792. Give n(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 43. Let i be ((-3)\/10)\/(g\/(-14)). Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*m*o*t**2 - 72795*m*o*t - 357666*m*t + 4*t**2 wrt o?\nAnswer: 6*m*t**2 - 72795*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20861859 + 37555.\nAnswer: -20824304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 4, -3, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201639273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.3 + 23.1. Is f at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 86. Let w be (h\/(-8))\/((-5)\/(-2)). What is the smallest value in w, 1, -5, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/12 and 103\/(-84) + 156\/(-234).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*j**2 - 8*j + 57*j**2 - 37*j**2 + 8*j.\nAnswer: 176*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8)*2)\/(30\/(-180)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 4*m - 2 + 2 + 2*m + (-2*m + 2*m - 2*m)*(1 - 2 - 1) - 2*m - m + 5*m)*(9*m**4 + 7*m**4 + 11*m**4).\nAnswer: 270*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.38714 rounded to one dp?\nAnswer: -125.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10651292 is divided by 5588.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 + 19 = -3*m, -3*m - 10 = -5*x. Let r = m + 10. Suppose -41 = -r*s - 16. Solve 4*f + 5*k + 9 = 3*f, -3*f - 17 = s*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*k**2 - d**3*k**2 - 100*d**3*o + 6*d**2*k**2 + d**2*o + 5*d*k**2 + 4*d*k*o wrt d.\nAnswer: 72*d*k**2 - 6*k**2 - 600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 64. Determine v(0).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2205839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*s. Suppose d + 31 = 2*p, s*d - 5*p = -p - 143. Let c = d - -40. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 6*a + 5. Let z be j(5). Suppose z*i + 108 = 3*i. Is 11 a factor of (-2)\/(-9) + 856\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -590900 to the nearest 10000.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3116 and 328.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 858015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 9*r - 28 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 8:17 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**4 - c**2 + 1. Let s(v) = v**4 - 2*v**3 - v**2 + 2*v + 3. Let y(f) = 3*b(f) - s(f). Let y(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -1001?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -9*b + 20. Let u(r) = 141*r**3 - 1. Let o be u(1). What is the greatest common divisor of o and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 + -2)\/2)\/(255\/(-204)). Let g = -0.4 - -0.38. Let s = -2.98 + g. What is the third smallest value in 0.6, s, h?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8163\/12 + -3 + 4\/(-16). Suppose 2*l = -5*f + 3361, r = f + 2*l - 4*l. Is 28 a factor of f\/4 - 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {k: 2, v: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 21*u**2 + 7*u**2 - 14*u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l - 7 = 3*k, k = -4. Let g = -7\/39 - -193\/858. Are l and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 143 = -5*i, i = 4*o + 121 - 304. Let b be (4\/3)\/(24\/108). Suppose 3*v + 60 = 3*l, v - 3*v + b = 0. What is the greatest common divisor of l and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3865*x - 5. Let v(j) = -199047*j + 258. Determine -258*m(c) - 5*v(c).\nAnswer: -1935*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -0*o, 4*o = -2*r + 13494. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 20. Let j be b(8). Solve -2 - j = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 72*y\/11 - 74\/11.\nAnswer: 2*(y - 37)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 937166 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from sessessss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkvrvkykjkvkrh. Give prob of sequence rv.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3456*w**3 + 564*w**3 - 600*w**3.\nAnswer: -3492*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-3))\/(87*119\/(-155295))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -929033225232.\nAnswer: -929033225232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - 2*k**3 - 84*k**2 - 4803*k wrt k?\nAnswer: -12*k**2 - 12*k - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 11.31.\nAnswer: 11.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5175 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 731860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -275, -263, -247, -227?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -131213444 (base 6) to base 8\nAnswer: -11666304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -765 divided by 303\nAnswer: -255\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 5 - -2)*(-3)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17757546 is divided by 28412.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -177120000 rounded to the nearest 1000000?\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arzmy. What is prob of sequence ar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560886109?\nAnswer: 7, 41, 43, 47, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697685338.\nAnswer: 2, 7, 17, 67, 43753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15789488*v**3 - 18860327 wrt v?\nAnswer: 47368464*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnllnvllnlnennnlvn. What is prob of sequence ve?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 15, 0*x - 2*s - 15 - 18 = 3*x + 8*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -465, -371, -239?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3693971 is divided by 315?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574793 is divided by 148?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1373, 127, -29.\nAnswer: -1373, -29, -4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Suppose 0 = 4*h - 3*h. Suppose t - 3 + 2 = h. What is l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*g - 35*g = 108. Solve -u + g*u + 12 = -3*i, u = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*c - 11 = -1, -3*l - 2*c + 30 = 0. Factor 0*m**2 + m**2 - 5*m + m**2 + 8*m**2 + 5*m**3 - l*m**4.\nAnswer: -5*m*(m - 1)*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -43. Let m = -3593888\/55 - -65341. Let l = m - -20\/11. Which is the second smallest value? (a) k (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - u - u - 8*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 9*u**2 + 12*u - 21. Let p be z(10). Let y = 3.3 + -4. Which is the closest to y? (a) 0.5 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -18, -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 52 = -21*f + 21. Suppose 0 = 3*u + 5*d - 11 - 4, 0 = 5*d. Solve -u*g = -l + 8, 5*l - 17 = f*g + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8416*l - 9*l**2 - 48*l**2 - 8415*l in the form u*l + a + o*l**2 and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 - 88*d + 305*d**2 - 5953 + 88*d.\nAnswer: 312*d**2 - 5953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let p(f) = -3*f. Let q(o) = -p(o) - 5*t(o). Let a(g) = g - 2. Let l be a(2). Let r(y) = 2*y + l*y + 0*y. What is q(r(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4296*m**4 - 3174*m**3 - 209922840*m.\nAnswer: -51552*m**2 - 19044*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 4) in base 15?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 2, j: 5, e: 2}. Give prob of picking 1 v, 1 e, and 1 o.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -38 - 3*m**3 + 1\/4*m**4 - 13*m**2 + 4*m. List the prime factors of k(12).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/25844 and 54\/2711135.\nAnswer: 140979020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 276*x - 1476 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-9))\/((-2)\/6). Let v(c) = c + 1. Let i be v(2). Suppose s + q - i = 0. Solve -3*g - s + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 take away -457584464?\nAnswer: 457584465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:26 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015216387 to six decimal places.\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2543*p**2 - 2543*p**2 + 2*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 5. Suppose 5*k + 2 - 17 = 0. Suppose -k*x - x = -16. Sort 3, x, n in descending order.\nAnswer: n, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + 4*u - 4. Let x be c(3). Let p(o) = -6*o - 4. Let a be p(x). Suppose -a*y + 26 = -14. Do 21 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -821, -1675, -3099, -5093?\n\"Answer: -285*x**2 + x - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(144)*1 - sqrt(144) - sqrt(9))\/sqrt(3) + 2*sqrt(6)\/(sqrt(32) + sqrt(2))*1)**2.\nAnswer: -6*sqrt(3)\/5 + 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59649 divided by -573.\nAnswer: -19883\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeqddeqqeqqd. Give prob of picking 2 q and 1 d.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7094.\nAnswer: 2, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*a + 5*c, 14 = a + 4*a + 2*c. What is the units digit of -1*(-8 - (a + -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 2*t**2 - 25*t + 7. What is the remainder when (54\/(-9))\/((-2)\/55) is divided by d(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362 * -0.12.\nAnswer: 43.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from bububzbbu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:26 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489898 is divided by 496628?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/28 - (-3)\/4. Let f be 12\/(-14)*(0 - b)*21. Is 60\/f*(-3033)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 20 = 19*n. Let s(c) = 28*c**n - 14*c**2 - 2 - 16*c**2 + 7*c. Let q(g) = g**3 + g**2 - g + 1. What is -2*q(w) - s(w)?\nAnswer: -2*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 8206.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-56)\/(-14))\/((-2)\/(-305))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*w - 6 = 8, -5*w - 19 = -2*g. Let d(x) = -x**2 - 14*x**3 + 3 - 3*x + 0*x**g + 15*x**3. Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (-42)\/336 - (121\/8)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/5)\/((-3)\/(-5)). What is the second biggest value in p, 1, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/f**(2\/17)*(f**(-2)*f)**(1\/49) assuming f is positive.\nAnswer: f**(5716\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2. Let z(y) be the second derivative of -y**5\/60 + 2*y**2 + 2*y. Let a(j) be the first derivative of z(j). Give 6*a(m) + b(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n - 111*n = -47*n - 3735195. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 <= 40008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -38*u + 131\/10*u**5 - 26*u**2 + 1 + 0*u**4 + 0*u**3. Differentiate d(b) wrt b.\nAnswer: 786*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*t + 245*t = 3*b - 23, -5*t - b - 14 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l**3 + 3*l**2 - 3*l + 3. Let k(j) = -j**2 + 59*j - 626. Let b be k(20). Let a(v) = 286*v**3 - 77*v**2 + 77*v - 77. What is b*m(n) + 6*a(n)?\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919.3215 nanograms to kilograms.\nAnswer: 0.0000000009193215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1145, -1158, -1199, -1280, -1413, -1610, -1883, -2244?\nAnswer: -2705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*k - 12, 3*g - 11 = 2*k - 31. Let z be -6*(-3 - 14\/(-4)). Suppose 0 = 3*h - 7*h + s - 4, 5*h - 2*s + 5 = 0. Sort z, h, g in descending order.\nAnswer: h, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 173371982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j + 89*j + 20 = 0. Calculate the greatest common divisor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2266 and 668264?\nAnswer: 7350904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (-5*(3 + ((sqrt(76) + 1 + sqrt(76))*5 - -4*(0 + sqrt(76)))))**2).\nAnswer: 33600*sqrt(19) + 1121991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100100100011010010001?\nAnswer: -100100100011010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1*-1 + -4. Let l = -2.8 + 3. Let q = -4485.68 + 4485.98. Which is the smallest value? (a) 3 (b) q (c) l (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 1:59 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 6 + 0 + -2. Let a be 2*3 + l\/(-1). Solve a = -5*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:52 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - -1.6. Let j = -9 + 5. What is the nearest to i in -0.5, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 5 (b) -2\/7 (c) -10 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -979 - -985. Does 55 divide (-12051)\/(-13) - (n + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -12 + 23 + 37 + 8 + -18 + 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 12 = -2*z, -2225*n = -2235*n - 160 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -299*p. Let t(z) = -2*z**2. What is d(t(l))?\nAnswer: 598*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157*r + 71*r + 73*r - 1)*(-17 + 33 - 10).\nAnswer: -78*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:00 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 107*u - 112*u - 34, 0 = -z + 5*u + 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081129.\nAnswer: 3, 67, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2276, 2271, 2262, 2249?\n\"Answer: -2*x**2 + x + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 5*w**2 - 7*w + 2. Let p(r) = 2*r + 24. Let s be p(-11). Let b be z(s). Solve -4*n + b*n - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-24)*(0 - (1 - 1)). Sort -4, -24, h, -5.\nAnswer: -24, -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - 0) + (-3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 971 - 779. What is the smallest common multiple of t and 4?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5329854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/4*w**3 + 1\/2*w - 3\/4*w**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/1263 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 118464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6556?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01316096 - -0.06815987. Let d = -0.055 + h. What is d rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -731960632 by -2.\nAnswer: 365980316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let w = -16 + 7. Let p = w - -3. Let f(y) = -y. Let i(r) = r. Let q(n) = p*i(n) - 7*f(n). Calculate m(q(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21078 and 45.\nAnswer: 105390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6 - 3\/(-6). Let y(s) = -6*s - 3. Let t(r) = -5*r - 4. Let k(m) = 2*t(m) - 3*y(m). Determine k(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 + q + 1. Let j(v) = -3*v**3 - 4*v**2 + 29*v - 4. Give 4*b(g) + j(g).\nAnswer: g**3 + 33*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**2 - 3*d - 11. Let h(b) = -6*b**2 - 2*b - 7. Calculate -12*h(p) + 7*z(p).\nAnswer: 9*p**2 + 3*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/4 + 23*f**4\/24 - 25*f**2. Find the second derivative of b(y) wrt y.\nAnswer: -180*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -1454, -3231, -5708, -8885, -12762?\nAnswer: -17339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = b + 4*x, 51867*b - x = 51865*b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 1. Let b = 8 + -6. Let i be w(b). Let f = i + 27. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 22*v - 12*v. Let w(d) = d**2 - 10*d + 8. What is w(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960.1 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 11*y - 9 = 0. Suppose 0 = -y*b - 2*b - 5. Let m be 2 + b - 1\/(-1). Solve 14 = 4*z - m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1159746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227987062 rounded to 5 decimal places?\nAnswer: -0.22799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((-27)\/(-18) - 4). Solve 31*u - i*u = 52 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53785 (base 10) to base 16\nAnswer: d219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1127780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -54166014 (base 7) to base 10\nAnswer: -4621593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6849 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14256 divided by -9\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 21. Suppose 4*t = 6 + 10. Suppose t*l - l = r. Let z(i) = -i - 2. Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 + 2*l + 3. Let n be f(-2). Let t(i) = 4*i - 24. Let c be t(6). Suppose 3*s - 7*s + 12 = c. Solve 2*x - 1 = j, -s*j - 3*x - n = -9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/101625 - -226522097\/711375. Let s(u) = -u - 319. Let m be s(0). Let j = b + m. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 73 = 5*l - 2*n, 70 = 2*l + 3*n. Let y = -20 + l. Suppose -4*r = -4*f + 83 - 403, 4*f = r - 77. Calculate the highest common divisor of r and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*r - 5*v, -5*r = 11*v - 45 + 36. Solve 15*x + 6 = 16*x - o, r*x = 5*o + 29 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03285001 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeqeeqqeeqqeqqeeqqe. What is prob of sequence qe?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-3)*w**(-8)*w**(1\/3)*w assuming w is positive.\nAnswer: w**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-35))\/(1\/((-40)\/(-84))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43723191*a = -43722613*a + 41038 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01136767 to five dps.\nAnswer: 0.01137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 479\/7 (b) -10\/3 (c) 44 (d) 0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**4 - g + 2713125*g**3 - 4*g**2 - 2713111*g**3 - 1 + 5*g**2 to v*g + w + d*g**4 + l*g**3 + b*g**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 812 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9371 = -2*q + 9683. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3 + 2)\/(-2). Let s = i - -2. Suppose 1 + 7 = s*y. Solve -j = -y - 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2493 + 2027 = -s + 92*a, 0 = 2*s + 5*a + 13 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + a. Suppose -2*h = 3*m + 2, 4*h + 2*m - 14 = 5*m. Let d(j) = -796*j**2 + 399*j**h + 396*j**2. Calculate -d(i) - p(i).\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1 + 1083\/1086). Let k = 5805\/16 + w. Calculate the common denominator of ((-154)\/(-8))\/(9\/2) and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15520\/41 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let z(k) = -61*k + 3. Calculate -2*c(s) + z(s).\nAnswer: -59*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**0)**(-23\/5)*((s\/(s**(-1\/3)*s))\/s)**(-2\/11))**43)**9 assuming s is positive.\nAnswer: s**(-95331\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 10*p - 14. Let h(j) be the first derivative of j**3\/3 + 5*j**2\/2 + 7*j - 5. Let f(o) = -5*h(o) - 3*t(o). Give f(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -155. Let z be ((-10)\/3)\/(((-12)\/(-9))\/(-2)). Let n = z - w. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4909b (base 13) to base 9\nAnswer: -224010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**6 + 3*n**3 + 2*n**2 + 46*n?\nAnswer: -2640*n**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*n - 4, -4*z - 3*n = -0*z - 11. Let o be (3 - 3) + (1 - -2). What is the third derivative of -4*j**2 + z*j**6 + 5*j**6 - o*j**6 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7972867 by 7.\nAnswer: -1138981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-2 + (13 - (-6 - -7)) + 0 + -16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3452494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -32 - 216*g**2 + 115*g**3 - 8*g**5 + 30*g - 29*g**5 + 114*g - 23*g**3 + g**5 + 48*g**4 = 0. Calculate g.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212112100220 (base 3) to base 11\nAnswer: -296aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -29 + (4 - 4 - 1 - (6 - -1))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + a + a + (14 - 14 - 7*a)*(3 - 6 + 4))*(0 + 3 - 4) in the form l + i*a and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2659, -11900, -27301, -48862?\nAnswer: -76583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3*t = -4*t + 13, -3*r - 4*t = 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 0, -3*m + 4*m + 4*i - 3 = 0. Suppose q - 3*s = -3, -4*s + s = 4*q - m. Solve q = 2*h - 2 - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 2, -0.1, 7 in increasing order.\nAnswer: -4, -0.1, 0.2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1644 to the nearest ten.\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7918285.41 seconds to weeks.\nAnswer: 13.092403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-16 - (-53 + 19)) + 11158?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1998290 and 1830.\nAnswer: 365687070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -62, -5, 4 in decreasing order.\nAnswer: 5, 4, 3, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/9*a + 34\/9 - 2\/9*a**2 = 0. What is a?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57129484333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (51\/(-8946))\/(((-12)\/(-3))\/396). Let o = -1\/142 + x. Which is the smallest value? (a) -13 (b) o (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -675 smaller than 2.578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/698 + 8822\/10819. What is the common denominator of c and 43\/70?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/4 + 7*b**3\/2 + 2587*b**2\/4 - 22070*b + 194700 = 0?\nAnswer: -59, 20, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7095.88793 - -23.09407. Let c = u + -7137. Let f = c + 0.018. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/17, -1\/4, -162, 3, 4\/3?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2725c - 2b?\nAnswer: 27231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6921804245*z**3 - 34613486065*z**2 + 22324920*z - 3600.\nAnswer: 5*(z - 5)*(37207*z - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 3*z - 17, -3*n = -2*z - 16. Let a(o) = -3*o**n - o + 4*o - 6 + 3*o + 4*o**2. Determine a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - b - 1. Give i(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3160 and 700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmo when three letters picked without replacement from {m: 3, o: 1, c: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/42 - 2*l**3\/21 + 3*l + 2. Let y(b) be the first derivative of k(b). Find r, given that y(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961090697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102481671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*u**2 + 5*u**3 - 4*u**3 + 165 - u + 134 - 297 as v*u + x*u**2 + d + f*u**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/35 in 1043, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 20. Give k(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5508 = 120*c - 282*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m**3 - m**2 + m - 1. Let u(h) = h**2 + 2*h + 2. Let w be u(-3). Let x be (w + -5)\/(4\/(-2)). Let z = x - -1. Give o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - -2) - (-6 + 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5082838306 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*d - 1312*d + 31 = -5*f, 3*d - 5*f = 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(0 - -13) + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21786, 21781, 21774, 21765, 21754, 21741, 21726?\nAnswer: 21709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqzz. Give prob of sequence qii.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 + 5)) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 137*r + 2277. What is y(-12)?\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490383 and 618.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3711*t + 25479. Calculate s(-7).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a + 25 - 3*a + 11*a - 36. Let d(j) = 37*j - 21. Let z(v) = -4*d(v) + 9*f(v). Differentiate z(x) with respect to x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65.9, 0.02, -5, 2, -0.5, 1 in ascending order.\nAnswer: -65.9, -5, -0.5, 0.02, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 3. Suppose 0 = 5*y - 0*y - 30. Suppose -2*g = -y*g - 20. Give a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29579 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/7 - 6*g**4\/7 + 4*g**3\/7 + 24*g**2\/7 + 16*g\/7 = 0. What is g?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4300 is divided by 479?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -39*x**2 + 6*x + 11925. Let v(i) = -77*i + 5. Give 5*f(j) - 6*v(j).\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857*477.3.\nAnswer: 409046.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + g - 6. Suppose 5 = 3*c - 1. Let r be j(c). Let h(x) = x**2 - 2*x. Determine h(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5 + 142*g**4 - 41658*g**3 + 571474*g**2 + 2790176*g + 2958984 = 0.\nAnswer: -189, -2, 19, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -8. Suppose 5*p = 14 - t. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.1 + 4.6. Let m = 2 + -4. Let g = m - n. Put 0, g, -4\/9 in descending order.\nAnswer: g, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d98386 - -5?\nAnswer: d9838b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2 + z + 2. Let q(c) = -c**2 + 23*c - 2. Let l be q(23). Let m(i) = -1 + 3*i - 5*i - 1 + 6*i**2. Give l*m(v) - 3*y(v).\nAnswer: 3*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(8\/(-6))*-4. Suppose -4*h - 2*w + 1 = -5, 0 = -4*h - 3*w + 9. Solve h = -b + v - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 79. What is the nearest to -3\/7 in -0.4, 1\/2, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0700082 - -0.07. What is m rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1769107 divided by -1.\nAnswer: -1769107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6, -m + 3*p = 2*p + 241. Round m to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 341, 674, 1007?\n\"Answer: 333*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.045\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209392.\nAnswer: 2, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-46)\/(h**(-19)\/h))**25)**(-2\/13) assuming h is positive.\nAnswer: h**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2. Let l(z) = -21*z - 46*z + 29*z - 69*z - 55*z. Calculate s(l(f)).\nAnswer: 183708*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 10*c + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let c(i) = i**2 - i - 1. Let d(w) = -35*w**2 - 20. Let z(a) = -30*c(a) + 3*d(a). Let r(g) = -g + 1. Let u(p) = 30*r(p) + z(p). Give u(y(l)).\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffyf when four letters picked without replacement from {f: 7, y: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 6*z)*(3 - 5 + 1) to the form o*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.47364771 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 19 = 6*a. Suppose -a + 12 = -3*z. Let s be 2 - (20\/7 - 0). Is s greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66315 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 48 = 5*s - 10*s, 0 = 3*s + 12. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45080, 45088, 45104, 45128, 45160, 45200?\n\"Answer: 4*b**2 - 4*b + 45080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 443*i*o**3*z**3 + i*o**2 + 400*i*o*z**2 + 9*i*o*z + 161*o**3*z**3 - 2*o**2*z**3 wrt o?\nAnswer: 2658*i*z**3 + 966*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26928 - 0.28. Let s = 0 - v. What is s rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (47839\/209 - -13) + (-4)\/(-38). Find the common denominator of (2\/20)\/((-6)\/116) and -2*f\/120 - (-7 + 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -586*s - 308. Is 10 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**3*v**2 - 2*o**3 + 91*o**2*v**2 - 3139*o*v**2 - o*v + 19165048*o wrt v.\nAnswer: 10*o**3 + 182*o**2 - 6278*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(11\/4)))\/c*(c**(-14)*c)\/c assuming c is positive.\nAnswer: c**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1700) + (sqrt(1700) - 1*sqrt(1700))*-5)**2 - sqrt(1700)) + (sqrt(1700) - (sqrt(1700) - (-4 + sqrt(1700)))**2) + 1 + -1).\nAnswer: 10104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*o = 17, -s - 5*o - 73 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373799 divided by 17327?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16461\/(-124))\/(-59))\/(3\/32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, 31 in decreasing order.\nAnswer: 31, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.4. Let x = -2\/563 - -571\/2252. What is the nearest to -0.1 in r, x, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105146 by -2767.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 3)\/1 - (11 + 2). List the prime factors of 1005\/20 + 3\/h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 401*m - 1 + 688*m + 499*m - 278*m to h*m + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 319*h + 2. Let a(w) = 117 - 42 - 41 - 34 + 2*w. What is o(a(q))?\nAnswer: 638*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/14040 and 17\/9750.\nAnswer: 351000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 39*c = -12682. Let s = -318 - c. Calculate the remainder when s is divided by (-58)\/(-4) + (-1)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1, 1.3, -0.3, 1\/3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 156 = 56*x. What is the highest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 24*d = 22*d - 3326012, -3*x - 1995630 = 5*d. Round x to the nearest 10000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -1\/3*c**3 - 11 + 3*c**2 - 8*c. Let g be f(4). Put g, 5, 13 in decreasing order.\nAnswer: 13, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -363 - -365.57. Let p = o + 0.13. Let f = p - 2.70042. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) -0.17 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1613.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -3.96 (c) 3\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4\/3*z**2 + 1\/3*z - 2*z**3 + 5\/3*z**5 + 0 - 4\/3*z**4 = 0?\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(4*(-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23913, -23876, -23837, -23796, -23753, -23708, -23661?\n\"Answer: m**2 + 34*m - 23948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5944.7 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, -1\/2, 69403, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5121*m**2. Let f(n) = -2*n**2. What is f(t(i))?\nAnswer: -52449282*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6 times -385?\nAnswer: -17171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*u + 2\/5 + 2\/5*u**4 - 4\/5*u**2 - 2\/5*u**5 + 4\/5*u**3.\nAnswer: -2*(u - 1)**3*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 56*u.\nAnswer: -56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 0 + sqrt(396) + sqrt(396) + 0 + sqrt(396)*-1)**2.\nAnswer: 120*sqrt(11) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-59)\/5 - -5\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1 + 1 - 661*h**2 + 331*h**2 + 332*h**2. Let s(k) = 2*k - 4. Give s(t(l)).\nAnswer: 4*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -24. What is the common denominator of u\/4*66\/12 and 71\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - 75*g**2 - 333*g - 86. What is l(-16)?\nAnswer: -1670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + ((-2)\/7)\/(-1). Suppose -j - 2 = -5. Which is the smallest value? (a) 0.2 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/3 - 11*g**4 - 1345*g**3\/3 - 437*g**2 = 0 for g.\nAnswer: -23, -1, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o + 84. Let n = -18 - -24. Does 24 divide ((-108)\/o)\/(n\/56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 355*h - 4558 - 18968 = -1126 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 4*i + 13. Let c(m) = -6*m**2 + 3*m - 12. What is 3*a(p) + 4*c(p)?\nAnswer: -3*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134180 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g**3 + g**2 - 9*g - 3. Let l(s) = s**3 - s**2 - 3*s - 1. Calculate 3*l(m) - z(m).\nAnswer: 17*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uzzuzuzzzz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136830*s**5 - 17*s**3*x**3 + 549*s**2*x**3 - 6506*s**2 wrt s.\nAnswer: -8209800*s**2 - 102*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12027 by -18.\nAnswer: -4009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + r**3 + 2*r**3)*(-2*r + r + 2*r) + (5*r**3 - 5*r**3 + 7*r**4)*(5 + 7 + 2)*(1 + 2 - 4) + (-3 + 2*r**3 + 3)*(-3*r + 5*r - 3*r).\nAnswer: -102*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56 - -809bc?\nAnswer: 80966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 4*q**2 + 4*q. What is p(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-553.9721997159\nAnswer: -553.9521997159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1602 and 74786789?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 1.2. Let u be (-2)\/6*2\/38. Let t = 121\/399 + u. What is the closest to 0 in 5\/4, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Let w = 203156\/7 - 29080. Let x = 58 + w. What is the nearest to -1\/3 in 0, k, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10127\/(-209) + 34 - -15.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/68832 and 61\/126192.\nAnswer: 757152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -5*z**8\/336 + 3*z**7\/10 + 57*z**6\/40 + 133*z**5\/60 + 5*z**4\/4 + 353*z**2. Suppose n(r) = 0. Calculate r.\nAnswer: -1, -2\/5, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 233112 (base 4) to base 8\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1148983608*i**3*j + 198999*i**2*j - 161*i + 3*j + 2 wrt i.\nAnswer: -6893901648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyemymm. What is prob of picking 2 m and 2 e?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - 6 - (0 - (5 + -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060 divided by 180?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5)\/((57\/19)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4985 + -915. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, o: 2}. Give prob of picking 3 x.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 2*n - 4. What is t(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751106089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2627*k**3 + 5*k**2 + k - 6. Let x be a(-3). Suppose 44*c + 23445 - x = 0. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -45, -120, -225, -360, -525, -720?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 10*p**2 - 8*p + 6. Let u be l(10). Let g = 859 + u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 21*k - 16*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 14 - 94. Suppose -q*z = -94 - 68. Calculate the remainder when 185 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 5, -12\/35, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 5*t**2 - 12*t - 10. Give h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1191 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + 58*d + 120. Let p be l(-9). What is the third smallest value in 1, -0.8, p, -9, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4\/5, 308, 0.14, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s + 1. Let y(k) = -23*k + 2. Let p(r) = -5*g(r) + 2*y(r). List the prime factors of p(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 a when three letters picked without replacement from {p: 1, u: 1, a: 6, r: 4, s: 3, j: 4}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1015*r**3 + 1741*r**3 + 1780*r**3 + 406*r**3)*(1 - 5 + 5 - 3*r) to b*r**2 + t*r**4 + j*r**3 + w + x*r and give j.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.0317, -17, -46, -2?\nAnswer: -0.0317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6017561\/986 + 6103. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12831 - 2*d**3 + 8*d**3 + 6395 + 0*d**3 + 6436.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 18. Let f be r(-8). Let m be (-2 + -1)\/((-9)\/(-9))*-2. Calculate the remainder when 9 is divided by 27\/m - 1\/(-4)*f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 1450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 + -101?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 7*n. Let f(s) be the second derivative of 5*s**4\/12 + 7*s**3\/2 + 2*s. Let k(y) = 3*f(y) + 8*j(y). What is the units digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 t when four letters picked without replacement from {e: 1, k: 3, t: 2, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002 divided by -406?\nAnswer: -5001\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/2*(-8 + -12). Let c = w + 20. Solve c = 2*r - 0*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**3*w - 114*t**3 - 2*w + 166 with respect to t.\nAnswer: -12*t**2*w - 342*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 0.07\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 58*w**2 - 4*w - 3. Calculate the remainder when t(-1) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -6)*3 + 1846 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*c - 68*c = 46*c + 1670 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.09 - 0.09. What is the second biggest value in t, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.171 - -0.099. Let m = f + 5.63. Let q = m + -6.94. Which is the third biggest value? (a) 1 (b) 6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 36. Suppose 2*w = -d + 8, -d + 14 = -w - 0. What is the remainder when q(13) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91904 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -156951543372.\nAnswer: -156951543372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-12))\/(2 - (-63)\/(-30)). Solve t - w + 18 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 28\/(-45). Suppose 2*q + 4*j = -j - 31, 4*q + 26 = 2*j. Let o be (-32)\/(-10)*q\/32. Which is the biggest value? (a) u (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 60 = 50*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-22))\/((-17548)\/451 - -39)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116393566?\nAnswer: 2, 71, 819673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 4*f + 1. Let z(q) = 1616 + q**2 - 1618 - 37*q + 34*q - 3*q**2. Calculate -3*w(u) - 4*z(u).\nAnswer: 2*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22871 times 0.2\nAnswer: -4574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 67. Let t = 40.9946 - l. What is t rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.98055l to millilitres.\nAnswer: 63980.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumuuumuu. Give prob of sequence uuu.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 1176\/60)*45?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.059 - -0.041. Let s = -29 - -31. What is the third biggest value in s, -1\/8, -1, v?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + b)*(3 - 2 + 1) - b - 2*b + 0*b + (b - 2*b - 3*b)*(0 + 3 - 5) to the form u*b + h and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(-258*h - 685 + 685)*(3*h + 38 - 38).\nAnswer: 2322*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884834?\nAnswer: 2, 97, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-34 + 19) - (19 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80388440?\nAnswer: 2, 5, 11, 182701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1562 - -1652. Solve u = -2*w + 86 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 13) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l + 1\/30*l**5 + 0*l**3 + 0 + 1\/180*l**6 + 1\/18*l**4 - 2*l**2. Factor p(s).\nAnswer: 2*s*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130665215 greater than -130665221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6564 = -j, -3*j - 7413 = 3*r - 27096. Is j a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1084, 1023, 966, 913, 864, 819?\n\"Answer: 2*t**2 - 67*t + 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 603*k**2 + 2. Let y(p) be the third derivative of -p**5\/60 - 191*p**2 - 5*p. Give y(i(l)).\nAnswer: -363609*l**4 - 2412*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -13*q - 5. Is 1\/36 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 26 = -2*z. Let k be 2 + 0 + z\/12. Let l = k - 1\/2. Is -0.03 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4020 and 244.\nAnswer: 245220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 7 + 3*q + 0*q**3 - 3 + 3*q**2 + q**3 to the form t*q**2 + w*q**3 + x*q + b and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689990769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 7*w**6\/120 + w**5\/6 - w**4\/12 - 2*w**2 + 2. What is the third derivative of f(k) wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.08409\nAnswer: -0.042045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) 0.4 (b) -2414 (c) -1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/23)*n*n\/(n\/(n**(-2\/5)*n*n))*n*(n*(n\/(n*n**(-2\/5)))\/n*n)**(1\/31)*n\/((n*n**2)\/n)*n\/((n\/(n**(-6)*n))\/n)*n**(-3)\/n**6 assuming n is positive.\nAnswer: n**(-7321\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 7) to base 13.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*f - 32. Suppose -f*j + 81 = -7*j. Calculate the smallest common multiple of j and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840*k = -844*k + 1675*k. Sort k, -5, 39 in descending order.\nAnswer: 39, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 divided by -37?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*h**2*w**2 - 3*h**2*w - 3*h*w + 98*h + 3*w**2 + 91567*w wrt h.\nAnswer: 102*h*w**2 - 6*h*w - 3*w + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 3. Let r = a + 10. Put -0.4, r, 0 in decreasing order.\nAnswer: 0, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0120459 and 14?\nAnswer: 13.9879541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p + 2. Let m(s) = -6*s + 2. Give 4*g(h) - 5*m(h).\nAnswer: 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, -3\/7, 0.3, -52, 4\/33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25766149 - 3?\nAnswer: 25766146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 - u**2 + 1. Let w be p(-1). List the prime factors of (-1)\/3 - (-40)\/w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/190*-25*(-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2866.297 centimeters?\nAnswer: 28662970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2429*p**6 - 4*p**5 - 496*p**3 + 3450496*p**2?\nAnswer: -291480*p**3 - 240*p**2 - 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -477 divided by -1\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/3)\/w**(-12))\/(w*(w\/(w\/((w\/w**(-3\/4))\/w))*w)\/w)**(-3\/8) assuming w is positive.\nAnswer: w**(1471\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(28)\/sqrt(4)))\/(6*sqrt(80)) - ((3*sqrt(20)*-1)\/sqrt(10) + 2).\nAnswer: -2 + 73*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.8 (b) 2\/7 (c) 0.2 (d) 2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*f - 933, 3*n - 2*f = n + 480. Let x = -290 + n. Which is smaller: x or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((682\/(-93))\/(-8*(-6)\/36)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -126, 1, -24 in decreasing order.\nAnswer: 1, -4, -24, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) + 1 + 101. Let a be 3\/(-4*(-3)\/q). Let o be (-4)\/15*39\/a. Are 2\/29 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 12*j = 4*i + 2*i + 621, i - 259 = 5*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850 (base 13) to base 16.\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4251*z + 1276*z + 4870*z - 3290*z + 5085*z to the form y*z + x and give y.\nAnswer: 12192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*s - 4 - 12 = 0, -3*r - 2*s = 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 3:03 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 4, i: 5}. What is prob of sequence ix?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 33)*(-8*d**2 + 8*d**2 + 14*d**4).\nAnswer: -462*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c**2 + 4*c. Let f(s) = 5*s - 1. Let z be f(1). What is the least common multiple of k(z) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*u**2 + 26*u**2 + 17*u**5 + 6*u**5 - 19*u**2 wrt u?\nAnswer: 1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3385, -3227, -3069, -2911, -2753, -2595?\n\"Answer: 158*j - 3543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3266492847?\nAnswer: 3, 31, 35123579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 0, -0.6, 4, -76414?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 661507383*z**5 + 625062112*z wrt z?\nAnswer: 13230147660*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -87 (b) 4 (c) 3 (d) -0.7 (e) -0.5 (f) 1126\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 40*i**2 - 174*i + 1059. What is g(36)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74465 is divided by 337.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 786*i**2 - 7*i - 2. What is the thousands digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53201324 (base 6) to base 7.\nAnswer: -16136050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 138 - 86 - 81)*(-2*l - 4*l + 5*l + (-2 + 2 - l)*(5 - 3 - 1) - l - 3*l + l) to the form r + f*l**2 + m*l and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2957 by -4.\nAnswer: 2957\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409785 is divided by 409560?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/45 and -179\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/7)*q*q*q**(-19)*q\/((q*q*q**(-30)*q)\/q*q)*q**(-32))**(2\/11) assuming q is positive.\nAnswer: q**(-284\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 18*m**2 + 40*m - 43. Let s(a) = -26*a**2 - 42*a + 48. Let i(w) = -3*k(w) - 2*s(w). Calculate i(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**2*q**4 + 507470*j**2 - 46*j - 3480413*q**4 - 3 wrt q.\nAnswer: -20*j**2*q**3 - 13921652*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b**(2\/11)*b*b\/(b\/b**(1\/4)*b)*(b\/(b*b**(2\/7)))**(-30) assuming b is positive.\nAnswer: b**(3697\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11902 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3528*c**3 - 10*c**2 - 2*c + 2. Let q(s) = -3*s**3 + 3*s**2 + s - 1. Calculate -2*q(w) - v(w).\nAnswer: -3522*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 20497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 5. Let s(q) be the second derivative of q**2\/2 - q. Let y = 0 + -2. Let v be -3 + (-2)\/(2\/y). Determine v*t(w) - 6*s(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -43eb1 (base 15) to base 5\nAnswer: -23402231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104473 is divided by 7462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*2*-3)**2 - (0 + sqrt(891)*1)**2) + -5 + -2.\nAnswer: 31178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7527573 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, x: 3, q: 3, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38799307\/506552661 - -2\/546443. Calculate the common denominator of 43\/9 and y.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 716299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 5*t**5 - t**5 + (2*t - t + 0*t)*(t**4 - 4*t**4 + 5*t**4).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, -5, -1, -4 in ascending order.\nAnswer: -5, -4, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 2 - 8*u + 8*u in the form l*u + w*u**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3571 + -3565. What is the closest to 2 in 0.2, 26, -0.5, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*w + 4*h = 663*w + 72, -5*w + 3*h - 31 = 0. Let o(x) = 7 - 4 - 4*x + 3. Determine o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 7*t**2 + 5*t - 8. Let l be f(-6). Let b = 4 + l. Let n be 1\/(-2) - (-3)\/b. Sort n, 5, 0.1.\nAnswer: 0.1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Let b = 122 + -72. Suppose -5*v - z + b = 0, 2*z - 6*z - 25 = -5*v. Solve -q - j*g - 21 = 0, -5*q - 8 - v = -2*g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 26 = -30. Suppose 1 = 4*s + 5. Let h = 16 + s. Calculate the remainder when g is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**2 - 19*v - 15 - v**3 + 0*v**3 + 15*v + 7. Let h be t(-11). Solve 7*z - h = 2*z + 4*f, 4*z - f = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -59457514.\nAnswer: 2\/29728757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 + 7*d + 4. Let b be f(-7). Let u = 2 + b. Calculate the smallest common multiple of 8 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 15, -2 in descending order.\nAnswer: 15, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -442412243 (base 5) in base 16?\nAnswer: -1d4ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 10*z + 20. Let o be c(-8). Solve -2*q = -3*q + 4, -4*y + q + o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3549934.2 + -3555308.2843. Let r = -5348.09 - f. Let z = r - 26. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*w + 6*w - 10, -3*w + 37 = -5*u. Let p = w + 17. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1321, 4, -196, -55 in ascending order.\nAnswer: -196, -55, -5, 4, 1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132674, 265339, 398004?\nAnswer: 530669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1 + 0*r**3 + r**3 - 3*r**2 - 2 + 4*r. Let v be ((0 + -13)*1)\/1. Let a = v + 16. What is n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/2, 31, 111, 0.3?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t + 0*t)*(1 - 5 + 3)*(-3*t**3 + 0*t**3 - t**3).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - r + 8 = 0, -3*j = 2*r - 2. Let p(h) = h**3 - 4*h**2 + 4*h - 4. Let w be p(3). Let y be 3 + 0\/2 - 54\/9. Put w, y, j in ascending order.\nAnswer: y, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*b + 12, -376 + 476 = -12*b + b - 5*g for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -367 not equal to -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/564 and -50\/27.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Let k(b) be the third derivative of 0 - b**2 + 0*b - 3\/8*b**4 + 0*b**n. What is k(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z - 6*z**2 - 5 + 0 + 2*z**2. Let g = -4 + 12. Let c(x) = -x**2 - 3*x**2 - 4 + g - 7*x + 7*x**2. Determine 6*c(i) + 5*n(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153949 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5523.38 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 534299190 and 129292.\nAnswer: 1068598380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015550?\nAnswer: 2, 5, 19, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0 (c) 16\/7 (d) -648 (e) -0.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 31*t**2 - 10*t**3 - 21*t**2.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/86998?\nAnswer: 1\/86998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/(2\/15). Suppose 3*d = -t - 2*d - 30, 0 = -3*t - w*d - 50. Let v(z) = 3*z**2 + 22*z - 7. Calculate the remainder when v(t) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -3 + (-5 - (0 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 32 (b) -23934 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8049 - 7901. What is the smallest common multiple of a and 204?\nAnswer: 7548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72697391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 165 - 125. Suppose -v + 6*v - 55 = t*k, -5*k = 2*v + 13. Calculate the greatest common factor of v and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234 + 18*j**2 + 188 - j**2 + 0*j**2 + 188 to the form v*j**2 + q*j + r and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + -1 + sqrt(3) + 5)**2 + (sqrt(363)*1)**2 + -2 + sqrt(363) + 1.\nAnswer: 27*sqrt(3) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1056 + -1055.6. Suppose -5 = -3*g + 1. Which is the third smallest value? (a) m (b) g (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29583, 59186, 88789?\n\"Answer: 29603*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33201 + -101141. Round w to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4236185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 205*g - 598*g + 206*g + 201*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1)*x*x\/x**(-2\/3))\/(x\/(x\/(x**(3\/5)\/x))*x**5))**(4\/13) assuming x is positive.\nAnswer: x**(4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 + -2.54. Let z = r - -0.1. Which is the biggest value? (a) -0.3 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - u + 6. Let j(p) = p**2 + p - 5. Suppose -3*s + 56 = -v + 36, 4*v - 2*s = -30. Give v*l(h) - 6*j(h).\nAnswer: 4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/6 + -15. Which is the second smallest value? (a) -0.5 (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5827*a - 2. Let u(b) = 73*b + 189. Give w(u(j)).\nAnswer: -425371*j - 1101305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046509 (base 10) to base 5.\nAnswer: 231442014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 2*y + 7 = -0*y - o - 30 - 103, 20 = 5*o for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 99774 times 18.7\nAnswer: 1865773.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -142.74. What is the smallest value in 0.5, 5, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o\/(((o*o\/(o**5\/o))\/o)\/o))\/o)\/o)\/o**(2\/13))\/(o**(-4)*o*o*o*o**(1\/3)) assuming o is positive.\nAnswer: o**(215\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 65 = 13*z, 2*x - 182*z + 177*z + 25 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8776*b**5 - 4*b**2 + 4*b - 31 wrt b?\nAnswer: 526560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 53, 72, 81, 74, 45, -12, -103?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1526 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -117 - 704aa?\nAnswer: -70616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5446 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989702 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 2867 = 74*g - 38*g + 359 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a + 2. Let q be 0*(0 + ((-4)\/a)\/(-4)). Suppose -8 = 3*b - b + 3*w, -2*w - 4 = q. Let x(v) = -5*v**2 + 1. What is x(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 12*k**2\/5 + 72*k\/25 - 16\/25.\nAnswer: -2*(k + 2)*(5*k - 2)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11333.2 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-2)\/(-8)*14. Let h(n) = n**3 - n**2 - n. Let p be h(2). Factor 4*v**2 + 2*v**4 - 5 - 5*v**p + a - 3*v**2.\nAnswer: 2*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25092*z**3 + 4*z**2 - 3*z + 28 wrt z?\nAnswer: -150552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 185270 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1341*(-10)\/(-50)*-5. Suppose -3*i + 1350 - q = 0. Factor 0 + 0*y**2 - 5\/4*y**5 + 0*y + 0*y**4 + 0*y**i.\nAnswer: -5*y**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3296 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 + -154. Let m(y) = -2*y**2 + 18*y + 562. Let l be m(21). Calculate the highest common factor of l and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 1186. Let a(s) = 2*s - 591. Calculate 9*a(h) + 4*b(h).\nAnswer: 2*h - 575","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(12*u + 114 - 114) + (0*u + u + 2*u)*(2 - 6 + 3).\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 116 + 583 + 5*s**2)*(-1 + 1 + 2*s)*(-6 + 3 + 11).\nAnswer: -16*s**3 + 7472*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124531 is divided by 2981?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 4. Let b be c(-2). Suppose -b*z - 16 = -d - z, -4*z - 4 = d. Suppose -7 - 23 = -v. What is the highest common factor of v and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2587 (base 9) to base 4.\nAnswer: 132112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1151 (b) 0.1 (c) -0.2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 2805, 4200, 5585, 6960, 8325, 9680?\nAnswer: 11025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 6*x**2 + 3*x - 6. Let a be o(6). Suppose -3*q = -4*n + 71, a = n - 2*q - 12. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-4*r**4 - 4*r**4 + 7*r**4) + 4 - 13 + r**4 - 2*r**3 + 2.\nAnswer: 2*r**4 - 2*r**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 502504.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/13*(-14)\/(-56)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 11, 3, 177.\nAnswer: 2, 3, 9, 11, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:42 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 12, -w - 22 = -2*p - 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, k: 6, b: 2}. Give prob of picking 2 c and 2 k.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*u**3 - 7*u**2 + 5 wrt u.\nAnswer: -1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1123895222 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.661 - 363.339. Let s = z + 364.4. Is -67 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/3 - 3*h**3\/2 - 7*h + 8. Let t(y) be the first derivative of g(y). What is the second derivative of t(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83*(-504)\/927276)\/((-4)\/28).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 2*l**2 - 3*l - 1. Determine v(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f - 0. List the prime factors of 3 + 0\/f + 11.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 824.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-32)*4*-115. Suppose 122*f - t*f + 21 = 0. Sort f, -5, 2, 0.\nAnswer: -5, f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 467 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(15)\/sqrt(3)) - -4*(sqrt(17) + sqrt(272)))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 398678497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 10*m**2 - 8*m - 12. Let s be p(9). Let y = 8 - s. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 162*d + 2595. Let z be f(-16). Determine c so that -169\/6*c + 0 - 1\/6*c**z - 13\/3*c**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((1 - -3) + (66 - 75))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (75743\/165 - (-28)\/210) + 2\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 6*a + 3*s + 5, -2*a = -2*s + 18. Is ((-38)\/(-57))\/(a\/(-582)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Suppose -5*v + 58 + 12 = -5*p, 4*v = 3*p + 52. Suppose v = 8*w - 6*w. What is the remainder when w is divided by u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) -0.2 (b) -4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4873*k**2 - 180291*k + 363. Give y(-37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-28) + 22\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.15, -0.2, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -q + 1 + 103, 0 = -3*h. Is q > 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 + 159. Let i(m) = z*m - 2*m + 2*m - 3*m**2. Let p(q) be the third derivative of -13*q**4\/24 - q**2. What is i(p(n))?\nAnswer: -507*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -157\/9 in -0.4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*o + r, r - 15 = -o + 2. What is the least common multiple of o and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:44 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11031320 (base 6) to base 7\nAnswer: 2545323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10363\nAnswer: 2\/10363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 5*y**2 + 3*y**2 + (2*y - 3*y + 2*y)*(1968 - 29*y + 4*y - 1965).\nAnswer: -28*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1570, -3144, -4722, -6304?\nAnswer: -7890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 227, 469, 779, 1187, 1723, 2417?\n\"Answer: 5*s**3 + 4*s**2 + 195*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + -1*sqrt(784))\/(sqrt(32)*-5) - (2*sqrt(896))\/(-3*sqrt(175)).\nAnswer: 16*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -58, -111490, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*f = -753*f + 209 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -609\/32 (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(7\/4))\/a**(-2\/21)*(a\/((a**(-1\/7)*a*a)\/a))**20)**(-1\/16) assuming a is positive.\nAnswer: a**(-479\/1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 - 6*t - 8. Let i be d(-5). Solve 90*j = i*j + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -101, 0.32, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 h, and 1 u when four letters picked without replacement from {u: 2, a: 2, h: 9, f: 2, o: 5}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzzjazzaaazzzzajtbz. What is prob of sequence jb?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2777676 and 4?\nAnswer: -11110704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82717840 is divided by 242?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-45)\/(-81))\/((-4)\/40*-25))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -37*q - 240. Let f be g(-7). What is the highest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 1139?\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -506 + 164. What is the units digit of f\/(-21) - (-6)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*j + 3408 + 6814, -2*b - 20465 = -3*j. Is -10238 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137276239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*p - 222 - 63 = 0, 5*v - 4*p = 250. List the prime factors of 9659\/9 - 12\/v.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 29*a**2 - 19*a - 4. Let j(i) = -18*i**2. Calculate f(j(s)).\nAnswer: 9396*s**4 + 342*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*3*(-420)\/252.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1 + 0)\/(-2). Suppose d = -4*o - o - 4*q - 4, -5*o - 2*q - 2 = 0. Suppose o = -i - 1 + 3. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -174? (a) -0.3 (b) -7 (c) 0.2 (d) -747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 14872*d - 14870*d = 1, 5*d + 15 = 5*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/6 + (1\/12)\/(1656\/7098) and -85\/24.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*x + 65. Find the first derivative of -70*d**3 - x + 48*d**3 - 10 + 8 wrt d.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 12:36 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 124 = 49. What is the closest to 1\/7 in b, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 30642?\nAnswer: 30645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 x when three letters picked without replacement from mxsmmgmxm.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (8 + 8 - 2 - 13) - -3) + 138?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -660 - -664. Suppose 11*a - y*a - 5159 = 0. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3061 + 3307. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2122 + -0.112. Round s to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -4.1. Which is the second biggest value? (a) -0.1 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 5140*x - 5135.\nAnswer: -5*(x + 1)*(x + 1027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:39 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 2. Suppose m + n = -2, 0 = -3*m + 2*n - 3 - 3. Let j be s(m). Which is the second biggest value? (a) 0 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 + -2?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1688, 6490, 17748, 38690, 72544, 122538, 191900, 283858?\n\"Answer: 538*b**3 + 1036*b + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 138\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 15. Let j(g) = g + 3. Let z(a) = 5*j(a) - k(a). Let r(i) = 153*i**2. What is z(r(l))?\nAnswer: 153*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64104 is divided by 119?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.25 + 114.75. Round x to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 - 143*k**4 + 7527*k**2 wrt k?\nAnswer: 120*k**2 - 3432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from hijkkhijjjhj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 966 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdsssdssssssdsssssdd. Give prob of sequence dss.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.3 - -9. Let l be (-1)\/2*7*30\/525. What is the second biggest value in l, -1\/3, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -2*f + k, -f = k - 5. Suppose -f*x = 3*x - 25. Suppose x*p = -0*p - 4*d + 21, 0 = -p + 2*d + 7. What is the lowest common multiple of 2 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 1:30 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 17. Suppose 5*z + r = -3. Let y = z + 15. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332d8 (base 16) to base 11.\nAnswer: 133548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1802*c**2 + 157*c + 49. Is n(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -31 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11722128*q*s**2 - 9353*q*s - 2*s - 801 wrt s.\nAnswer: 23444256*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1979*v + 2016*v - 1443 = 0. What is the remainder when 1870 is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4018973 and 1.\nAnswer: -4018972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1314073683 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o - 10*o + 3970 - 3651 + (0 + 0 + 1)*(-4*o + o + 2*o) in the form m + h*o and give m.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33911 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-21)*h)\/h*h**8)**22)**30 assuming h is positive.\nAnswer: h**(-8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54955*o + 4*z = 54951*o + 8, 5*z - 30 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 1, p: 4}. What is prob of sequence ep?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243.1 - -243. Which is greater: o or -0.135?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (446*w + 103*w + 32*w)*(3 - 3 + 2*w**2 + 49*w**2 + 34*w**2 - 73*w**2 + (5*w - 5*w - 2*w)*(w - 5*w + 3*w)) to g*w + c*w**3 + s*w**2 + y and give c.\nAnswer: 8134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*j**5 + 81*j**4 - 43*j**2 - 1995619*j?\nAnswer: -900*j**3 + 972*j**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*b**3*h*x - 3*b**2*h*x + 96878*b**2*x + 3651*b*h*x - 30*b*x + 29*h*x wrt b.\nAnswer: -78*b*h*x - 6*h*x + 193756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.8 - -4. Let i = w - -1.8. Are i and 5\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/13)*p)\/(p\/p**1*p) assuming p is positive.\nAnswer: p**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54258, 54260, 54262, 54264, 54266, 54268?\nAnswer: 54270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:03 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/((-420)\/200). Let p(g) be the second derivative of o*g**2 + 0 - 1\/14*g**4 + 1\/210*g**6 + 1\/140*g**5 - 2\/21*g**3 - 28*g. Factor p(w).\nAnswer: (w - 2)*(w - 1)*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 3600 = -13*s + 190*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11.8491 - -1\nAnswer: -10.8491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w + 3. Let l be -11 - (9\/15)\/(w\/15). What is the hundreds digit of (2 - 2) + l*(-414)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -71 + 169596?\nAnswer: 169525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*v + 4*v. Suppose -k + 11 - 2 = v. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - 0. What is the common denominator of 0 + (-2)\/((-40)\/d) and 93\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 88*t**2 - 191*t - 1634. Calculate x(-86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -807296 divided by -4\nAnswer: 201824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -414 + -1\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:24 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/5)*q)\/((q**(-4)\/q)\/q)*(q**1)**6 assuming q is positive.\nAnswer: q**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011000001000010 + -1110101?\nAnswer: -11101011000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 0.4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*l*p**3*w**3 + 17*l*p**3*w + 6*l*p**3 - 311*l*p**2*w**3 - 2*l*p*w**2 - l - 2*p**2*w**3 + 3*w**2 wrt p?\nAnswer: 612*l*w**3 + 102*l*w + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + (sqrt(1300) - sqrt(1300)*1) - sqrt(1300)))**2*5 + (-1*sqrt(468))\/((sqrt(88)\/sqrt(2))\/sqrt(11)).\nAnswer: -103*sqrt(13) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*w**5 + 22*w**4 - 30*w**3 - 82*w**2 - 26*w + 12 = 0. What is w?\nAnswer: -3, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -1\/6*s**3 + 0*s + 4*s**2 + 0. Let y be 1\/(-2*(-4)\/(-8)). Let a(m) = 3*m + 9. Calculate y*a(x) - 9*z(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31235 + 57341. Does 229 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 - 33*w**3 + 2*w**3 + 7*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**3\/3 + 8*u - 32. Let n be f(2). Let x(o) be the first derivative of -o**3\/3 + 3*o**2 - 5*o - 1. Calculate x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1253 - 1239. Solve h + 6 - d = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, -0.4, -1, -0.092 in descending order.\nAnswer: -0.092, -0.4, -1, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from arjajjja.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a644a0 (base 11) to base 8.\nAnswer: 41420766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2615 = 3*t + 5*g, 7*g - 5270 = -6*t + 5*g. Calculate the smallest common multiple of t and 55.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18848?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 + 15 = 5*k + 3*y, 5*k - 2*y + 194 = 0. Let x = k + 52. Suppose -x*w + 12*w = -3954. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -1, -48, 434 in increasing order.\nAnswer: -48, -1, 1.3, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/87381 and 28\/2187.\nAnswer: 21233583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let i(z) = 5*z + 6 - z + 3*z + 5*z**2. Let x(v) = -4*v**2 - 6*v - 5. Let q(n) = u*i(n) + 4*x(n). Suppose q(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*x + 153*x = 4*k - 13, k - k = 2*k - 3*x + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, -1.8, -2, 4.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 9 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0148 and 0.5?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 887 = -10*k. Solve k*g = 90*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**6*((((r\/((r*r**5)\/r))\/r)\/r*r)\/r*r*r)\/r*(r\/((r**(-9\/4)*r)\/r))\/(r**(2\/3)*r) assuming r is positive.\nAnswer: r**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1147243, 2294492, 3441741, 4588990, 5736239, 6883488?\n\"Answer: 1147249*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 515*s**2 - 1028*s**2 + 1 + 506*s**2. Let f(l) = 15*l**2 - 3. What is 4*f(h) + 9*p(h)?\nAnswer: -3*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eefkgaagkeggeaaiage. Give prob of sequence ia.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 - 32380*t - 5751385 = 0. What is t?\nAnswer: -173, 6649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 2*z - 1. Let b be c(1). Suppose b*l + 0*l = 60. What is the least common multiple of 6 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 543 + -330. Suppose -18 = 5*g - s. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 3}. Give prob of picking 1 o and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-20) + 2 + -1. Sort -2, h, 2\/3.\nAnswer: -2, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-25)*b**0)**(-2\/65))**(-16\/7))**(-46) assuming b is positive.\nAnswer: b**(-2944\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 10*b - 4. Give j(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*q - 4593*q + 4456*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*j - 174*j + 10088650 = -78*j. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65.38 - 0.62. Let w = 66.04 + l. Which is the closest to 0? (a) -4 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 10, -1, 7, 280, 5, -5.\nAnswer: -5, -1, 5, 7, 10, 42, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 = -6*p - 953. What is the lowest common multiple of p\/(-21)*21\/6 and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -25. Let l be 2\/(-9) + (-21)\/k. Let s be (3\/36)\/(5\/(60\/(-39))). Which is bigger: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2997 + -3000. What is the biggest value in -45, g, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from ccccccaadzzmicdamzmd?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) - 56470\/50. Let p = 1139 + a. What is the common denominator of -27\/2 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**2 - 11*s + 2. Let k(r) = 7*r**2 + 7*r - 1. Let h(p) = -7*k(p) - 5*o(p). Let u(a) = a**2 + a. Let v(q) = h(q) - 2*u(q). Factor v(j).\nAnswer: -(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261\/5 + 4969\/95. Let s = -0.3 + 0.2. Suppose -g - 1 = -2*j, 3*g = -0*g + j + 7. Put q, g, s in decreasing order.\nAnswer: g, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -616, -612, -618, -640, -684, -756, -862?\n\"Answer: -m**3 + m**2 + 8*m - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9547258mm in centimeters?\nAnswer: 0.09547258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*o**2 - 7*o**2 - o + 3*o**2 + 5*o**2 in the form w*o**2 + g + m*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*2\/(-16)*6. Suppose 2*x - 43 - 23 = -2*j, -x - y*j = -31. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h. Let y(p) = -p. Let z(q) = -2*f(q) - 7*y(q). Let t(i) = -3*i. Give t(z(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6845543 plus 0.0523?\nAnswer: -5.6322543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -2, 450, 11.\nAnswer: -5, -2, 0, 4, 11, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -134 - -30449.9156381\nAnswer: 30315.9156381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.359 - -0.079. Let t = -4950695.2799979 + 4950695. Let c = j - t. What is c rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0*w)**(-1\/12)*(w**(-6)\/w)**(-47) assuming w is positive.\nAnswer: w**(1973\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3887797 kilograms in nanograms?\nAnswer: 388779700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2 - 8. Suppose -u + 5 = 4, g*u + 81 = -4*z. Let w be z\/(-9) + 3\/(-9). Solve 2*x - a = 4*x - 4, 0 = -w*x - 2*a + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -303.6\nAnswer: 12.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**7\/14 - 19*d**6\/120 + d**5\/60 + d**4\/8 + 181*d**2. Find m, given that x(m) = 0.\nAnswer: -1\/3, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(5\/(60\/(-18))). Sort 2, j, -1.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 59, 0, 1, -14554.\nAnswer: -14554, -1, 0, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*x - 20, 0 = -h - 2*x - 0 + 5. Calculate the least common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8887419 or -8887420?\nAnswer: -8887419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(162) - (sqrt(6)\/sqrt(3) + 0))*1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = 112*x - 149*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6055 divided by 14\nAnswer: 865\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143*27\/(-1485))\/(((-84)\/(-560))\/(3\/2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let j = -15.781 - -0.181. Let i = j - -16. Sort n, i, -1\/4 in descending order.\nAnswer: i, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + -19. Let z = -23 - u. Suppose o + 340 = z*o. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -30200303?\nAnswer: 30200312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 14*p + 2*k + 18277, -18274 = -3*p + 5*k. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-4)\/(64\/24))*3\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/10 + k**4\/21 + k**3\/3 - 2*k**2\/7 - 3*k - 2. Let h(c) be the first derivative of r(c). Find t such that h(t) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750, -1360, -1830, -2166, -2374?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 110?\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (4 - -3) + 1. Let n = 0.2 - 0.19. Sort -0.1, a, n in descending order.\nAnswer: a, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Suppose k - 1 - 3 = j. Suppose 31 = a - 4*p - p, k*p = a - 27. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 2, y: 1, d: 9, t: 4}. What is prob of sequence jsd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 356\/(-1)) + (0 - 1). What is the greatest common divisor of 40 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -534*u**2. Let d(q) = -91898*q - 2. What is d(p(i))?\nAnswer: 49073532*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2808*j + 21. Let i be z(7). Let n = i - 3365. Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230976796045753 + -5.\nAnswer: -230976796045758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y - 70*y - 5 = -2*r, -3*r + 24 = 0. Let c(n) be the second derivative of 15*n**2 + 0 - 1\/6*n**3 - y*n. Find the first derivative of c(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0*r - r + 2*r - 3. Let s be u(0). Let x = 15 + s. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4389 divided by -3.\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -5\/178 (c) -1\/2 (d) -1 (e) 0 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, z: 7, y: 5}. Give prob of sequence zzzn.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 7. Let l(b) = 5*b + 8. Let t(i) = -6*j(i) + 5*l(i). Let n(g) = g**3 - 2*g**2 - 3*g + 4. Let u be n(3). Determine t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q - 62. Let f(x) = -7*x - 61. Give 4*c(y) - 5*f(y).\nAnswer: -y + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.1 - -21. Let k = -2 + j. Which is the closest to k? (a) 4 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1240 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 289369579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*m**2 + m**4 - 175*m**2 - 10*m**4 wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.507343 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 673364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 0.3\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = h + 1725, 1164 = p + 3*p + 4*h. Calculate the highest common factor of 672 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4220*g**3 - 3397*g**3 - 3 - 2*g + 5703*g**3 - 2*g**2 as a + l*g**2 + v*g + r*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900 (base 10) to base 13.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2204 + 2?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 3. Let f(j) = -j - 4. Let p = 21 - 17. Let h(y) = p*n(y) - 3*f(y). Let x(w) = -4*w**2. Give x(h(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 221, -5, 4 in increasing order.\nAnswer: -5, 4, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1.4 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-20) - 23\/(-4))\/1. Solve -3*q + g*q + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 10\/7, 0.044, 0.11 in descending order.\nAnswer: 13, 10\/7, 0.11, 0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1700)*4)**2.\nAnswer: -54400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n. Let r(x) be the third derivative of -13*x**8\/20160 + 7*x**5\/60 - 7*x**4\/24 + 107*x**2. Let b(d) be the third derivative of r(d). Give m(b(a)).\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3576601317.4 - -10.39.\nAnswer: 3576601327.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -11 - (-14 - -9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -3 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-20) + -12*(-21)\/56. Solve 5*z + 23*d + i = 28*d, -3*d = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 - 5 = 0. Let b = -3 + l. Factor -5*c - 4*c**2 + 4*c**2 - 6*c**2 + c + 2*c**3 + b*c**5 + 6*c**4.\nAnswer: 2*c*(c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69930 divided by -333?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14 + (-18)\/(-63)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 29\/4*i**2 - 1\/8*i**3 - 112*i + 196 = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 21*i + 21. Determine t(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujj when three letters picked without replacement from {j: 7, u: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9785\/(-114)*((-1490)\/(-50) - 31)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599081884 divided by -1124?\nAnswer: 532991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29730409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from yhavddi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 802*c**3 - 265*c**3 - 268*c**3 - 260*c**3 + 6*c**5 + 22*c**5 - 528*c**2 wrt c?\nAnswer: 1680*c**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 - 0.08. Let d = -0.379 + 0.009. Let g = 0.32 + d. Which is the second biggest value? (a) -2 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26823.\nAnswer: 3, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 428*s\/11 - 22898\/11.\nAnswer: -2*(s - 107)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/32, -5, 3, 5, -0.5 in descending order.\nAnswer: 5, 3, -5\/32, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.3 - -116.3. What is the nearest to 1 in -1.8, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t - t + 32843 - t**2 - t**2 - 33043 to g + d*t + f*t**2 and give g.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*l + 934 = 0, -d + 456 = -l - 2. Calculate the remainder when d is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67735 is divided by 541.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - -1. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-4*9\/36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213872231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486995 is divided by 1285.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.003? (a) -2\/9 (b) 0.5 (c) -4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099894 rounded to four decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -412 and 0.0412.\nAnswer: -411.9588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/(148\/(-592)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 15816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9) + (-16)\/42. Suppose 3*v + 0*v + 3 = 0. Let o be (0\/(-2 - -1))\/v. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2404003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25200 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1158, 2482, 4796, 8100, 12394, 17678, 23952?\nAnswer: 31216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)*(l**(-3)*l)\/l*l**(-3)*l**(1\/5) assuming l is positive.\nAnswer: l**(-271\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:07 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - i + 2*i)*(4579 + 4605 - 9106 + 17*i) - 2*i**2 + 0*i**2 + i**2 to the form j*i**2 + t*i + s and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1535556 and 195.\nAnswer: 99811140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/8)*i\/i**(3\/4))**(-15\/2))**(2\/21))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by 122?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4220988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**4 + z**2 - z - 8. Let n(w) = -w**2 + w. Let f(v) = b(v) + n(v). Find the first derivative of f(g) wrt g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -6. Let f be (-4)\/((-12)\/q - 2). Solve -4*y + 11 = 5*l - f*y, -2*y - 5 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 906 and 948 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Suppose h = 3*x + 16 - 40. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(125) - sqrt(125)))*3 + 1*(sqrt(125) + (-1 + (sqrt(125)*2)**2 - sqrt(125))).\nAnswer: 15*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621064 and 846?\nAnswer: 262710072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 16) to base 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56395900 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -922, -997, -1072, -1147, -1222, -1297?\n\"Answer: -75*d - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (6 + 13 - 7) + -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-3 + sqrt(2))**2 - (-2 + sqrt(2) + sqrt(2) + 2).\nAnswer: -2*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*a - 273*a - 25*a)*(3*a - 3*a - 8*a).\nAnswer: 3824*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 268913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*w + 3. Let g be w\/8*2 - 82\/(-8). What is the first derivative of g*o**2 + 119 - 101 + 10*o**2 wrt o?\nAnswer: 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 8*m**2 + 9*m. Let y(i) = -i**3 - 8*i**2 - 9*i - 1. Let k(s) = -6*u(s) - 5*y(s). Let q be k(-7). Let b = 28 - q. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -t + 15*t - 46. Let q(r) = r**3 + 5*r**2 - 8*r - 3. What is the remainder when q(-6) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10177, -10156, -10099, -9988, -9805, -9532?\n\"Answer: 3*w**3 - 10180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -56, -86, -118, -152?\n\"Answer: -z**2 - 25*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1437201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-40)\/18)\/4*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 89993*y**2\/5 + 89999*y\/5 + 6\/5 = 0.\nAnswer: -1, -6\/89993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -615230 divided by 1034\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -d + z, 308*d = 303*d + 4*z + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 3*m**2 - m + 3. Suppose -2*a = 6 + 24. Calculate the remainder when (-6)\/(-4)*(1 + (-85)\/a) is divided by g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-1*3 - (1 + -3)). Let l(i) = -2 + 4 - 2 + s*i. Let q(b) = 9*b. What is l(q(h))?\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 635 in 5, -0.01, -6, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from htthtuthiuthhtihthqi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56112 and 1812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4839.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -q - 2*m, 5*q - 4*m + 2 = -9*m + 3*m + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57398 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99172592*f**3 - 22680704.\nAnswer: -297517776*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:15 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 - 12*q**2 - 7*q + 15. Let t(m) = -11*m**3 - 36*m**2 - 22*m + 44. Let w(z) = 8*d(z) - 3*t(z). Let j be w(-11). Let h(b) = -b. Calculate h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143\/4 - -36. Let n(a) = -7*a - 82. Let d be n(-11). Let m = 3 + -3.1. What is the second smallest value in m, d, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 25*o**2 - 1634*o - 14894. Determine u(-9).\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 7. Let y(h) = -14*h + 22. Determine 8*n(r) - 3*y(r).\nAnswer: 2*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1703 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 290 + -170 + -9 + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 27 - 36)*(-3*r - 2*r + 2*r).\nAnswer: 222*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93819.01 times -0.03?\nAnswer: -2814.5703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 4:35 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 - n + 1. Let a(v) = v**4 + 5*v**3 + 5*v**2 - 5*v - 1. Let k(j) = 2*a(j) - 10*d(j). Differentiate k(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -16. Let y = -5 + b. Suppose 0 = f - 0*f - y. Solve 3*l + 4 = -4*u, f*l + 5*u + 16 = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 165503843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/3 - 40*s**3\/3 + 178*s**2\/3 + 220*s\/3 = 0. Calculate s.\nAnswer: -1, 0, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3168 = 2*b + 3*m, 4*b - 3*m + 6336 = 0. Let d be 3\/18*4*(-24744)\/16. Let l = d - b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69437901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 18618?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 - l**2 - 5*l. Let i(u) = -u**3 + u**2. Let q(g) = -6*i(g) - x(g). Suppose 6 = 4*k - 5*z - 20, 4*z + 12 = k. What is the units digit of q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -721 + 1015. What is the greatest common factor of 126 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 3261, 4615, 5849, 6969, 7981?\nAnswer: 8891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 76 - 16. Let g be ((-187)\/(-2))\/11 - 3\/v. Solve 3*c - 5*c = -g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 258 = 10*m, 3137*a - 3*m = 3135*a + 84 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 plus -2174878741400?\nAnswer: -2174878741412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {r: 3, t: 1, e: 3, u: 1, w: 2, l: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -1827\nAnswer: 8\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 550241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.478 + 3.49711. Round u to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2535, 5, -5, -2\/5, 12 in ascending order.\nAnswer: -5, -2\/5, 5, 12, 2535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 3, w: 11}. Give prob of sequence gg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/340 and 161\/8850.\nAnswer: 300900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -7)\/((-4)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*i = -226 - 110, -2*i = 2*x - 642. Calculate the least common multiple of 162 and x.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * -0.0584039.\nAnswer: -0.13432897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2340 and 125\/66?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044819595.\nAnswer: 3, 5, 17, 11940469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i - 16. Let b = i - -18. Suppose -a + b = 2*a + 2*n, 4*n = -8. Solve 6*y = a*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -39351, 350, -5 in decreasing order.\nAnswer: 350, -2, -5, -39351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:37 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 48 = -4*u, -108*u + 218*u - 114*u + 3*t = 50 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(4 + (-54)\/8). Let j = 8 + i. What is the remainder when j is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:44 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-3\/5)\/((i**5*i)\/i))**(-3\/26))**(-23))**(19\/2) assuming i is positive.\nAnswer: i**(-9177\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007819 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.4 (c) 142\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2007 - -6031\/20070. Let i = -9.5 - -10. What is the third smallest value in 0.4, -2\/7, u, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j - 4. Suppose -z - j = 2. Let c be (80\/9)\/z + 2. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 8*m**2 + 7*m - 3. Let c be d(7). Let v be (-2)\/7120*-15122 + c. Let k = 1\/445 + v. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*z**4 - 205 + 26 - 428 - z**2 wrt z?\nAnswer: 160*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from zncncncnznzc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 - 20*p + 102. Let w be i(8). Solve -9*s + w*s = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136605452*i**2*q**3 + 11*i**2*q**2 - 2*i*q**2 + i*q - 5217*i - 2*q**2 + 3 wrt q.\nAnswer: -819632712*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 - 3*y**2 + 16*y**2)*(-19 - 415 - 1278*y**2 + 430).\nAnswer: -8946*y**4 - 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v - v + (24 + 46 - 6 - 5)*(-v - v + 4*v).\nAnswer: 120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 6803026.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.4 - 1. Let w = u + -2.7. Which is the nearest to -0.1? (a) -2\/7 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*o - 13026 - 7724, 0 = 2*b + 3*o - 8321. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4562 is divided by 4549.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1573) + (sqrt(1573) - (-3 + sqrt(1573)))) - 1*-1*sqrt(1573))**2*-3 + 2.\nAnswer: -4825 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -4926529.1?\nAnswer: -4926529.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 5*h**2 + 128286*h**3 - 128252*h**3.\nAnswer: 34*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 68*q**2 - 1. Suppose 5*r = 9*r + 4. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*l + 4*j = 339*l + 2352, -2*j = -l + 2394. Solve l*g - 2385*g - 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31238 is divided by 1249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 3*t + 165*t**3 + 12*t - 3*t.\nAnswer: 165*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 1. Let k be m(5). Find the third derivative of 3*f**3 - 9 + k + 0*f**2 - f**2 wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(2\/11)*m)\/(((m**(2\/17)\/m*m)\/m)\/m))\/(m**9\/(m**(4\/9)*m)))**16 assuming m is positive.\nAnswer: m**(-120944\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/42 and 43\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 1749.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101 (base 2) to base 5.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/11, 40, 16 in descending order.\nAnswer: 40, 16, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -7, -499?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 750 divide 462968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 38711.25 seconds in days?\nAnswer: 0.448046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770477391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145.5574 decades to years.\nAnswer: 1455.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 4*r)*((2 - 2 - 3*r)*(-r**2 + r - r) + r**3 + 8 - 8).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9610*k - 10 + 4633*k + 4981*k.\nAnswer: 4*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 32*s - 8*s - 4.\nAnswer: -31*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 8*h + 1. Let p(l) = -2*l**2 + 20*l - 24. Let b be p(8). Calculate d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -61. Suppose n - 2*q = 10, -3*n - 4*q - 56 = -7*n. Suppose l = -v + n. Solve 3*b + 21 = 3*t, 3*t - v*b - 26 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2*a + 15 + 3\/2*a**2. Let o(n) = 8*n + 6. Let y(j) = 4*j + 3. Let w(v) = 3*o(v) - 5*y(v). Calculate -5*p(h) + 4*w(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**8\/336 - a**5\/12 + 4*a**2 + 11. Let o(u) be the second derivative of l(u). Find the third derivative of o(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 69*z - 488. Let w be q(-8). Which is greater: w or -20\/79?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7*a)\/(a\/(a\/(a\/(a**(-1\/2)*a)))))\/(a**1*a*a*a)**(-40) assuming a is positive.\nAnswer: a**(335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508073?\nAnswer: 508073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.04 + -8. Let y = -0.14 + c. Which is greater: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/5 - -1 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 + 29*a**2 - 665*a - 17. Determine g(-15).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 850392*h**3 - 823220 wrt h.\nAnswer: 2551176*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -123980 divided by 14?\nAnswer: -61990\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 1369*m**2 - 8186*m - 10904.\nAnswer: -(m + 2)*(m + 4)*(m + 1363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + 2 + -2 + -2. Suppose -s*w = -2*w. Let k be (6\/4)\/(4\/8). Solve k = b - w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977986557?\nAnswer: 29, 68206433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -11*r**8\/56 + 17*r**5\/10 - 11*r**2. What is the third derivative of j(b) wrt b?\nAnswer: -3960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 51. Calculate the common denominator of (-2 - 0)*(-2 - 163\/j) and 37\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 1. Let f = -3 - 1. Let d = 6 + f. Let r be b(d). Solve r*q + 26 = o, 2*q - o + 12 = o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2.4. Suppose -196 = -17*g - 172 - 92. Put 0.4, -5, g, i in decreasing order.\nAnswer: 0.4, i, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:42 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93640 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -39*c**2 + 3*c - 30. Let h(m) = 7*m**2 - m + 6. Let g(l) = 11*h(l) + 2*j(l). Determine s so that g(s) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 12*j**3 - 22*j**2 + 12*j.\nAnswer: -2*j*(j - 3)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 692 - 682. Solve 0 = -6*d + g*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2113 + -8701?\nAnswer: -6577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -653 + 653.457. Let b = -0.5122 + r. What is b rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) -2 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9\/2)*(i*i\/(i*(i\/((i*i*i**(6\/11))\/i))\/i*i)*i)\/i)**(1\/4) assuming i is positive.\nAnswer: i**(-65\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -10, 2*r + 35*v - 76*v = -38*v + 29 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**2 + 0*k + 0 - 4\/5*k**3 - 2\/5*k**4.\nAnswer: -2*k**3*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 + -249.2. Which is the nearest to -2? (a) 0.1 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/4))**(-2\/89)*t**(-2\/11)\/(t*(t*t*t*(t\/t**3)\/t*t*t)\/t))\/((t**(-6)*((t*t**0)\/t)\/t)\/(t**(2\/3)*t)**(-6\/5)) assuming t is positive.\nAnswer: t**(5485\/1958)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + 48. Let i = s - 89.5. Which is the second smallest value? (a) -0.3 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5971 - 5589. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + (4 - 1) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3 - 54*a**2 - 159287*a - 314097220 wrt a?\nAnswer: -6*a**2 - 108*a - 159287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -5, 163 in decreasing order.\nAnswer: 163, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 0.3. Let p = -0.768 + h. What is p rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-5\/3)\/l))**18)**(-25) assuming l is positive.\nAnswer: l**(-1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75621 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:02 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002736115 rounded to five decimal places?\nAnswer: -0.00274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000133193 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001011 + -110100100100?\nAnswer: -111101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2551 + -1772?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 1\/60*i**4 - 1\/150*i**5 + 1\/2*i**2 + 0 + 0*i**3 + 2*i. Let m(q) be the first derivative of a(q). Factor m(v).\nAnswer: -2*v*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Suppose -3*n - 66 = -3*m, 0 = -d*m - n - 3*n + 32. Let y be ((-8)\/m)\/(2\/(-40)). Solve 5*x - k + 29 - y = 0, -4*x = -2*k + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*q + 13 - 1, 5*d = 4*q - 20. Let m(x) = -3*x + 36. What is m(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + (12 - 12) + -21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/(2\/12). Let d = 2 + -6. Put u, d, 0.5 in increasing order.\nAnswer: d, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181248 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 13 = -3*x, -35*q + 2 = -36*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 80 - 179 - -191.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527429948 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 n when four letters picked without replacement from nprprrpnrrp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99578.88 - -5.\nAnswer: 99583.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*z + 11239 + 1798 + 22308 + 4405 = 0 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 divided by -14?\nAnswer: -625\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1001*r - 1140*r - 25*r**2 + 87*r**2 wrt r?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2974, 0.4, -17 in descending order.\nAnswer: 0.4, -3\/2974, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.158 rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -1588.377.\nAnswer: -270.02409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + 7780 + (13 - 7).\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-9 + 42)) + 9 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.013525805 + -0.01352. What is a rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 1*sqrt(320) + sqrt(320))\/sqrt(8))\/((sqrt(160)\/sqrt(4))\/sqrt(5)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.002 + 24.002. Let m = x + -22. Which is the biggest value? (a) 2\/3 (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:28 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-10)*(-124)\/((-6200)\/100)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 0.4, 0, -1\/2, -7287, -2.\nAnswer: -7287, -2, -1\/2, 0, 0.4, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z*z\/(z*z\/(z*(z\/((z*z**(-4\/5)\/z)\/z))\/z))))\/z*z)**(4\/25)\/(z**2)**18 assuming z is positive.\nAnswer: z**(-4536\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) + -2))*-6 - (sqrt(720) - (sqrt(720) + 3*sqrt(720)*-1))**2.\nAnswer: -6492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 317 = 105 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93828, -93871, -93988, -94215, -94588, -95143?\nAnswer: -95916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*j + 3*j. Solve -c = -j*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -272*s**5\/15 + 21*s**3\/2 - 255*s**2. What is the derivative of c(n) wrt n?\nAnswer: -2176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.5. Let c be (-1)\/(-6 + 2 + -1). Let n(t) = -t**3 - 12*t**2 - 9*t + 26. Let b be n(-11). Put i, c, b in descending order.\nAnswer: b, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -62, 0.009, -0.4?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4062 - 1407 = 0. Let a = k - 339. Let t = a - 73. Round t to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24)*(-4)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186165 is divided by 122.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -5 (c) 70 (d) 3\/8 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-19)\/(-42) - (17 + -27).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j + 8. Differentiate 5*l**3 + l**j + 0 - 10 with respect to l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623841.\nAnswer: 3, 207947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oke when three letters picked without replacement from njnnefjnnonnjkneoejj?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 2*w + 2. Let g be c(-1). Solve -2 - g = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 6\/9 - -4)*-3. Let z = 390 - t. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 16. Let q be b(8). Suppose 0*g + 2*g = q. Suppose g*p + 108 = 1992. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95\/(-8) + 6\/(-48). Let f be 2\/2 + (-24)\/k. Let m be 0 - (2 - 12\/f). Solve z + b - 5 = 0, -m*z - b + 1 = -2*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671561, 671544, 671517, 671480, 671433, 671376, 671309?\nAnswer: 671232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 7*p + 4*p + 2*p - 4*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5)**(23\/4))**(6\/11)*(b**(3\/7)\/(b\/(b*b*b\/b**0)))\/(b**(-2\/3)*(b\/(b*b*b\/(b\/(b\/(b*b*b**(1\/8)*b)))*b))\/b) assuming b is positive.\nAnswer: b**(36317\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**4 + w**3\/3 - w**2 + w + 2. Let h be b(1). What is the second derivative of -2*i - 1 + 1 + i**h wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 29*s**3\/3 - 2*s**2 + 13*s. Let x be b(2). Suppose -4*d - 16 = 0, x = 4*q + 3*d - d. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/24*33\/16. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Suppose -p*b + 2*q = -20, 3 = -2*b - 3*q + 8. Solve -2*v - 25 = -b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, 9, 41, 87, 147, 221?\n\"Answer: 7*u**2 - 3*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/9 (b) 1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -8 - 3 - 4454\/816. Let y(o) be the third derivative of 0*o**3 + t*o**4 + 1\/60*o**5 + 0*o - 8*o**2 + 0. Find the second derivative of y(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14530748977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 1.5. Let m = -6 + t. Let u = 3.6 - 0.6. Put 0.3, u, m in decreasing order.\nAnswer: u, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -236, -454, -672?\n\"Answer: -218*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.1. Let d = 5.9 - 0.9. Which is the third biggest value? (a) -1 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/(-30) + 11\/5. Suppose -v*l + 3*l = -l. Suppose 4*i + 13 = -5*a + 1, -5*i + 4*a + 26 = 0. Solve l = -h + i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*h - 35 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2497*l**2 + 77*l + 77. Let s(b) = -96*b**2 - 3*b - 3. Calculate -3*k(d) - 77*s(d).\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4962720 by -17724.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1647716490 to the nearest one hundred thousand.\nAnswer: -1647700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-135)\/7 - 16\/(-56). Let b = -16 - o. Solve b*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134.133 years in months?\nAnswer: 61609.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - 2. Factor -3*g - 10 + 3*g**3 + 0*g + 12 - 3*g**2 - g**4 + 2*g**a.\nAnswer: -(g - 2)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - n = -2*t - 8, 0 = 2*t - 2*n. Let h(y) = 3*y**3 - 4*y**2 + 4*y - 3. What is the units digit of h(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2406542.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1527, -6111, -13749, -24441, -38187, -54987, -74841?\nAnswer: -97749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2209, 1483, 687, -215, -1259, -2481?\n\"Answer: -6*z**3 + z**2 - 687*z + 2901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose 0*m = -m + o*a + 36, -m = -5*a - 33. Let t(n) = -39*n**2 - n + 0 + 2 - 5*n + m*n**2. What is t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Solve 3 = t + x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/(3\/(-45)). Let i(t) = t - 7. Let x be i(u). Let g be (-13)\/(-3) + x\/6. Solve -g*n + 3 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2)*5\/(-5). Let r(v) = -3*v - 95 + 94 + c*v**2 + 3*v. Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.7 - -61.2. Let q = -3 - s. What is the third smallest value in -2, 0.003, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3762 and -37\/8?\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 39*p - 118. Let y be j(4). Suppose -y*l + 341 - 55 = 0. Solve l*u + 15 - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqqozdzozozz. What is prob of picking 2 o?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Calculate t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -183. Let d be u\/26 + 154\/(-182). Let p = 2.8 - 3.6. Which is the third biggest value? (a) -4 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/20)\/(-21)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m + 1 - 7*m + 6*m - 2*m. Determine v(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -513.98 - 9.02. Let s = f - -523. Let l = -0.3 - -0.1. Which is the nearest to 1\/2? (a) s (b) l (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 183 + 134 = -2*j, j - 5*y = -141. Let w = 210 + j. Calculate the least common multiple of w and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010116 to seven dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l, 23*d - 21*d - 4*l + 21978 = 0. What is d rounded to the nearest 100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/15 - 3*d**4\/8 - 43*d**2\/2 - 11*d - 7. Let r(g) be the first derivative of i(g). Let t(u) = u**2. Give -r(w) + 5*t(w).\nAnswer: w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -4. Let z(d) = 2*d**3 - 37*d**2 + 202*d - 3312. Let o be z(18). Sort o, u, -5\/6, -5 in descending order.\nAnswer: o, -5\/6, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1749 - 1029. Suppose p = 2*q - 406. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 24*d**2 - 21. Let z(h) = -5*h**2 + 4. Determine -4*p(l) - 21*z(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -2. Let h = -59 + 61. Suppose 3*u - x = h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262 - 437. What are the prime factors of (-56)\/(j\/85 - -2)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5828.2583 and 0.5.\nAnswer: 5828.7583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 0. Suppose -3*l + 3*y = -24, -4*l + j*l - 2*y + 56 = 0. Suppose k + 3*t - l = 0, -2*k + 24 = 5*t - 0*t. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j. Suppose j = -3*b + 17 - 2. Suppose h - b*p + 83 = 4*h, -h - 3*p = -25. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 66*j. Let v(a) = 14*a. Let n(w) = 2*w. Let d(b) = -6*n(b) + v(b). What is d(q(l))?\nAnswer: 132*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 57*b - 7. Let l(c) = -85*c + 10. What is 5*l(r) + 7*m(r)?\nAnswer: -26*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 7*i**2 + 2*i + 16. Let y be k(-7). Suppose -y*v + 10*u = 5*u - 863, -v + 4*u + 427 = 0. What is the remainder when v is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -713.218 - -0.218. Let w = -712.9162 - j. What is w rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/23 + 3716*d**4\/23 + 56042*d**3\/23 + 276940*d**2\/23 + 494328*d\/23 + 269712\/23 = 0.\nAnswer: -6, -2, -1, 1873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*w + 32 = 0, 13*c - 8*c - 5*w + 40 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-17 + 15) - (-5 + 0)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 + 94269*t**2 - 54*t + 74?\nAnswer: -40*t**3 + 188538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**18)**(-34))**(33\/5) assuming a is positive.\nAnswer: a**(-20196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/12, 0.06, -0.3, 7, 2, 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4487 + -4482. Suppose o - 2 = -3. Sort -9, w, o, -4 in ascending order.\nAnswer: -9, -4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 3 (c) -2\/137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*d + 63. Suppose 0 = -2*o - 62 + 2. Let m = d + o. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19040 = -6914*k + 7509*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1\/2)\/(20\/40). Sort 3, d, 140 in descending order.\nAnswer: 140, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 3*c**4 - c**5 - 1 + 2*c**3 + 3 - c - 4*c**2.\nAnswer: -(c - 2)*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -22. Suppose -k = 3*y, -3*u + 2*y + 84 = -6. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**7\/70 - 549*a**6\/40 + 3*a**5\/20 + 1645*a**4\/8 - 549*a**3 - 1905*a**2. Find i, given that d(i) = 0.\nAnswer: -549, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 2282?\nAnswer: -55\/2282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/90)\/((-4)\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29854, -59928, -90014, -120118, -150246?\nAnswer: -180404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -6, 1241, 2, 1 in descending order.\nAnswer: 1241, 314, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0, 5, 683, -1\/2 in decreasing order.\nAnswer: 683, 5, 4\/7, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213*y**2 + 4844*y**2 - 1207*y**2 - 1254*y**2 - 1163*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72443.41 litres?\nAnswer: 72443410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 12. What is the least common multiple of 18 and b(11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010 (base 2) to base 11.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*o + 4, 229*i - 234*i + 3*o - 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**3\/2 - 2*w**2 + w. Let s be g(2). Suppose -c = -3*v, 5*v - s = -c - 2. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 452*i**2 - 1298*i - 942. What is the derivative of q(n) wrt n?\nAnswer: 904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4630693 is divided by 969.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 11*s**2 + 2*s + 248. What is the remainder when j(-10) is divided by 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhgfggfhhbfifhhbfb. What is prob of picking 2 b and 1 f?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + m**2 - 4*m + 2. Let w(f) = 21 - 5 - 5 - 10 + f**3 + f - 2. Determine -u(h) - 2*w(h).\nAnswer: h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (2 + -16 + 12)) + 15 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26d93 (base 14) to base 12\nAnswer: 47659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80798?\nAnswer: 2, 71, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71587027 a multiple of 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/(a\/(a**2\/a)))\/(a**(-4\/5)\/((a**(4\/7)*a)\/a))*((a\/((a**(1\/4)\/a)\/a))**(15\/4))**22 assuming a is positive.\nAnswer: a**(63629\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-800)\/(-1500))\/((-12)\/9) - 26\/10. Let o(y) = 34*y + 103. Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1180 - -1132) + (-1 - -29).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -4. Let x be 9 - ((-6)\/k - 0). Let u be (0 - (-3)\/x)*2. What is the nearest to u in 0.1, -4\/3, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/3 - 326026*k**2\/15 + 2086952*k\/15 - 260872\/5 = 0.\nAnswer: -32609, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59477 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5422 is divided by 501.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 88 - 12. Let i = -48 + c. Calculate the highest common factor of i and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 3*g + 3. Let k be 39\/21 - ((-13)\/(-7) - 2). Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 2*y**3 + y**3)*((-1 + 0 - 1)*(-3 - 2 + 4) + (6 - 3 - 2)*(-1 + 5 - 3)).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3508 is divided by 1732.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-36))\/(1\/14). Let t = 17\/30 - u. Let h = -0.38 + 0.08. What is the closest to -2 in t, h, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 - (4 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1727699\/102 - -16938. Calculate the common denominator of -109\/24 and a.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22051 - 4?\nAnswer: -22055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p - 1. Let c(v) = 124*v**2 + 2*v + 3. List the prime factors of c(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 122685*v + 18133.\nAnswer: 122685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2065, 2\/11, -37?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7266 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**13\/n)\/n)**(-6\/5)\/(n**(-4))**41 assuming n is positive.\nAnswer: n**(748\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*s = 226 + 1407 + 226 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -2*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*w - 5836 - 4110 = -1546 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 31. Let l be 0 + (0 - 0) + 1. Suppose 9 = 5*k - a - l, -2*k = -a - 7. Sort g, k, -1 in descending order.\nAnswer: k, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177100 is divided by 88549.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - (-14)\/3. Let y be 2 + -2 - (s + -22). Let q be 1 - 20\/(-12)*(2 - -1). Solve -2*r = -u + q*u + y, -5*r - 15 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14708, -30821, -46934, -63047, -79160?\n\"Answer: -16113*o + 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 272 or 266?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(3\/126). Let p be -26*d\/(-6)*1. List the prime factors of (p - -10)*2\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269.366 + -0.634. Let q = k - -272. Which is the nearest to q? (a) -2\/5 (b) -1 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 360.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -370*x - 36 - 3*x**2 - 24 + 90 - 31 as u*x + f + o*x**2 and give u.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*h + 226 = 0, -3*h + 93 = p + 2*h. Suppose -1140 = -2*f - p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 divided by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqrrv. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/56 + 1665\/21.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(38\/(-38))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 711 + -569. Calculate the least common multiple of 1 and a.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Let g = 0.4 - -3.6. Let l = n - g. What is the second biggest value in l, -0.5, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 2*c + 1. Let v be r(-2). Let b(s) = -s**2 - 6*s + 5. Let k be b(-6). Let z(j) = -4*j - 1 + 2 + 0 + k*j. Calculate z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49669260 rounded to the nearest 10000?\nAnswer: -49670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 2. Calculate the smallest common multiple of (-88)\/z - 2\/(-10) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7664 + 1.3664. Which is the closest to 5? (a) 0.4 (b) y (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13093632, 13093628, 13093624, 13093620, 13093616, 13093612?\n\"Answer: -4*q + 13093636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 28. Let z = -4 - -7. Put z, i, 0 in increasing order.\nAnswer: 0, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -313 (b) 0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -5770\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 - 2) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101101101011000100011100 - 10?\nAnswer: -1010101101101011000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, d: 4, w: 3, v: 4}. Give prob of sequence ddw.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126119, 126085, 126051, 126017?\nAnswer: 125983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.89853 millilitres in litres?\nAnswer: 0.07189853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 477671711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*q**2 + 154*q**2 - 286*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 14*z**2 + 2*z + 20. Calculate q(14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9406 < -9406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**2 + 29*j**2 + 22*j**2 + 2*j**3 - 10*j**3 wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-39)\/(-9) - (-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -87*n - 3547. Determine p(-41).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 616*j**3 - 10 + 5 + 695*j**3.\nAnswer: 79*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 7. Let z(w) = 2*w + 1. Determine r(n) - 2*z(n).\nAnswer: 5*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101649 - 1010.30578\nAnswer: 100638.69422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 209, 315, 421, 527, 633?\n\"Answer: 106*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 10*r - 7*r = 12, -k - 3 = 13*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/36 - m**3\/18 + m + 3. Let k(o) be the first derivative of w(o). Solve k(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 5*t = -21, 429*r - 4*t + 11 = 432*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7987*c + 247237 = 943*c - 2485*c - 23453 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 21 = 69. Let x(z) = -z**2 - 14*z + 16. Let a be x(r). Is a less than -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592447 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900)*-5)**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 = 518. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95 in -0.3265, -2\/5, -10?\nAnswer: -0.3265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-84)\/(-24) - (-2)\/(-4). Suppose 0 = -a*f - 2*f + 140. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 1. Let p be x(-5). Let b = 37 - p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4749907598 to the power of 1\/2, to the nearest integer?\nAnswer: 68920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11260872 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 19 = 2*i + 3, 4*q - 14 = -5*i. Suppose 4 = 5*y - i. Suppose -4 + 0 = -y*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -2*b**3\/3 - b + 5. Let f(l) = -9*l**2 + 0*l + 0*l + 7*l**2. Determine f(w(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42523, 4\/7, 1426?\nAnswer: -42523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 196482370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 488637696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 755176 and 540499.\nAnswer: 1295675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 21*d - 20*d. Let t be 10\/(-25) - 72\/(-30) - 3. Sort d, t, 10 in increasing order.\nAnswer: t, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.13, 0.11 in decreasing order.\nAnswer: 5, 0.13, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.7. Let y = -0.2 + g. Which is the closest to 0? (a) -0.4 (b) 4\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5\/6, 0.1, 2\/19, -1, 6\/221, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -6553.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39996 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34719 times 9716\nAnswer: 337329804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3 + s**2 + 0*s + s - 4 - 7*s. Suppose 8*a = 3*a + 25. Suppose -14 = -a*n + 11. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14559 or 14427?\nAnswer: 14427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqdgpdz. Give prob of picking 1 q and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 4*n - 31, 3*f + 49 = -5*n. Let q(h) = -h**2 - 14*h - 18. Let d be q(f). Is -3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -28*v**2. Let k(p) = 275212*p**2. Give y(k(o)).\nAnswer: -2120766058432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let q(g) = -3392*g + 11. Give q(t(n)).\nAnswer: -6784*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945890?\nAnswer: 2, 5, 11, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 2 + -5.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((325\/30)\/13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 + -101 - (-1 - (-9 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*i**2)*(-3*i - 2 + 2)*(25*i + 94 - 94).\nAnswer: 150*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 12*c - 163. Let j be w(-18). Is j equal to 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -8 - 92\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**3 + 60*d**2 + 4*d - 42. Determine k(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-3*m + 0*m + 4*m) - 4*m + 7 - 7 - 1 + 1 + 2*m + (1 + 5 - 5)*(-m + 5*m - 3*m) to the form l + f*m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -13*i**2 - 2*i - 3. Let b(x) = -2*x**2 + 9*x - 14. Let r be b(2). List the prime factors of z(r).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 71. Let l be b(-16). Suppose 5*x - h = 3*h + l, 5*x + 5*h = 25. Solve 2 + x = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 32*c**3 + 29*c. Let u(j) = 11*j**3 + 10*j. Let z(y) = -6*a(y) + 17*u(y). Find the second derivative of z(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:38 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.22 + -0.15. Let t = q + -0.47. Let i = -4.6 + t. Which is the second smallest value? (a) -4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*p*v**2 + c**3*p*v - 109*c**3*p + 15*c**3*v**2 - 8*c**2*p*v - 6*c*v**2 + 2*v**2 wrt v?\nAnswer: -4*c**3*p + 30*c**3 - 12*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 6*m = 1716. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/40 + -3431\/280. Let p = 0.23 - -0.27. Which is the smallest value? (a) -5 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -28. Suppose -101 + 96 = -f. Calculate the greatest common factor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5, 4*f + 5*y = 5*f - 116. Suppose 0*s + 5*s = -4*q + 450, q - 3*s - f = 0. Calculate the greatest common factor of q and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 5*w + 0*w + 2*w. Suppose -2*u - 3 + 1 = 0. Let j(o) = -8*o + 2. What is u*j(y) + 4*s(y)?\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*x - 34 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.078576 and 0.\nAnswer: -0.078576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(0 + sqrt(76)) + sqrt(76) + (-1 + sqrt(76)*-1 - (sqrt(76) - (2 + 2*sqrt(76)) - sqrt(76))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 25*k**4\/24 - 5*k**3\/6 + 78*k**2. What is the derivative of v(r) wrt r?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1009*a**2 + 8*a - 4 + 3*a**5 - 1009*a**2 - a**5 + 0*a**5 + 0*a**5 + (a - 2*a + 2*a)*(-2*a**3 + 2*a**3 - a**4).\nAnswer: a**5 + 8*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s + 27*s = 410. Solve -p + 9 = 4*f - 4, -s*p + 25 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.804809332 rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*q - 4495*q**3 + 438*q + 30995*q**3.\nAnswer: 26500*q**3 + 356*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 32.48. Let l = n - -0.22. Which is the closest to 4? (a) -4 (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 38 - (-23 - (20 + -30)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/352 and 91\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**4 + 8*w**3 + 2*w**2 + 3*w + 3. Let x(z) = 80*z**4 + 72*z**3 + 18*z**2 + 26*z + 26. Let p(n) = -52*d(n) + 6*x(n). Factor p(u).\nAnswer: 4*u**2*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1150 and 85\/8.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/720 - v**5\/80 - 35*v**3\/6 + 19*v**2. Let r(j) be the first derivative of f(j). Let r(k) = 0. What is k?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 30*k**2 + 2*k - 4. Calculate j(2).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.218 and 9777.\nAnswer: 11908.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.2 (b) 0 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/3, -0.5, 0.5, -1228?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.29 + 38.79. Which is the third biggest value? (a) -2\/11 (b) h (c) 29.6 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3\/4 (b) 177 (c) -2\/3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let b(z) = -5*z - 1. Let d(q) = -3*b(q) + 8*c(q). Let k be d(3). Determine w so that 0*w**4 + 0 + 1\/5*w**3 + 0*w + k*w**2 - 1\/5*w**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k**2 + k + (-k - 3 + 3)*(-2 - 2*k + 2) - 1375*k**2 - 1813*k**2 + 1189*k**2 to the form i*k + y*k**2 + s and give y.\nAnswer: -1998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d = 4*j + 59*d + 129, 5*j + 148 = 3*d for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*q = 30*q + 15. Let o = 1455 - 1420. What is the highest common factor of q and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) + sqrt(156) + sqrt(156) + 1*sqrt(156) - sqrt(156)))\/sqrt(12).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 31 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(-2))))**(-28)*(j**(-1\/3))**(-18) assuming j is positive.\nAnswer: j**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3 + 1 + sqrt(396) + (sqrt(396) - 2*sqrt(396)))**2*-1 + 4)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -188 and -105?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109 in 43.7, 1\/74, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Suppose 0 = -3*t - 5*w + 23, -t + 3*w - 18 = -7. Calculate v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10505*a*v**5 - 7351*a*v wrt v?\nAnswer: 210100*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 r when four letters picked without replacement from {a: 6, r: 3, q: 8}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((-43)\/((-7525)\/825)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*u - 6*u - 7, -114224*u + 5 = -2*b - 114225*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20133022 (base 6) in base 10?\nAnswer: -572198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 + (-1 - -4). Let i = -446 - -124. Let a be (-2)\/(-7) - (-23)\/(i\/(-192)). Solve b = n*b - 5*u + 7, 2*b + 4*u - a = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*n**2*x**4 - 656851*n**2*x - n*x + 5*n - 1466472*x**4 - 2 wrt x?\nAnswer: 360*n**2*x**2 - 17597664*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 36, 44, 54, 66, 80, 96?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04787 from -74645490.59.\nAnswer: -74645490.54213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/900 - i**5\/450 + 18*i**2. Let y(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 5)\/(-1))\/(38 - 46).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.359 in 1\/15, -3\/4, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 9*f + 27. Let c be (-2 + (82 - f))\/(2\/6). Suppose -2*g + 2*l - 57 = -c, -g = 2*l - 96. Calculate the smallest common multiple of 22 and g.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*3)\/((-10)\/20*48\/(-900056)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 417907269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -407 by 37.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 989 + -6.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14949 divided by -11.\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 6*y**2 + y + 6. Let t be h(-6). Suppose -3 = -3*k, -2*i - k + 5 + 2 = t. Solve 4*x + 20 = 0, -2*d + i = 2*x + 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1688 = g - 5*a, 2*g - 7*g = 3*a + 8412. Let s = g - -49583. What is s rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*k + 1029 + 1281 = 0 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7 + 2. Let d be (6*(-1)\/2)\/(-1). Differentiate 1 - 1 - 4 + w*y**d + 0*y**3 wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 35 = -238*j + 241*j, 8*y + 5*j - 57 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.75094 rounded to 0 dps?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - 2*v**2 + 3*v + 5. Let j(g) = g**3 - g. Calculate 4*j(h) + x(h).\nAnswer: h**3 - 2*h**2 - h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 9. Let z(i) = 1013521*i. Calculate z(t(c)).\nAnswer: -3040563*c**2 - 9121689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((10\/(-1))\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-12)*3*-1. Let l(r) = 4 - 3*r - 5 + 6*r. Let k(s) = -4*s + 1. Give h*k(f) + 7*l(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-9))**0)**(4\/9))**(-45) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-49)\/21)\/(-1))\/(1\/(-6)). List the prime factors of 2\/t + 11 + (-25266)\/(-21).\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13*(-6)\/13 - (-234)\/(-91). Let d be 3 + -2*3\/6. Determine p, given that -b*p + 12\/7 + 9\/7*p**d = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*u - 44 = 0, 5*a + 3*u - 51 = 4. Solve a*w = 7*w + 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21550 + -4570. Let c be 4 - 1*n\/5. Let z = c - -37284\/11. What is the common denominator of 1\/10 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*3*sqrt(39)\/sqrt(3)*1 + 0 + 2 + -3)**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y + 4*b - 76, 3*y + 2*b - 198 = 0. Let h = y - 61. Let s be (-11 - -3)*2\/(-4). Solve 4*p - h*p = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17630043*x**3 - 4483832*x**2 wrt x.\nAnswer: -105780258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 15 - 9 - (-7 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-13) + -3)\/((2 - -2) + -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*7275272.5\nAnswer: -7275272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3*h + 3. Let u be n(1). Let x(m) = -21*m - 4. Let o be x(u). What is the highest common divisor of 153 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -50\/421997?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1698 = -4*y + 3746. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-3)\/(-5)*(-3440)\/(-129)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*z**3 - 13*z**3 - 17*z**3 + (10*z + 2*z**2 - 10*z)*(-z + 6*z - 4*z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-7) + 4\/(-14). Suppose -2 = -3*x + 2*w, -3*x - 1 = -0*w + w. Sort x, v, 5 in ascending order.\nAnswer: v, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001000110111000 - -11000?\nAnswer: 1101001000111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -89a (base 12) to base 2\nAnswer: -10011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/715 + -67921\/1430. What is the common denominator of -17\/1140 and j?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.2244.\nAnswer: 0.1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -7*s - 55. What is the first derivative of -68 - 3*f + 18*f - s - 4 wrt f?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 13. Let k be c(-6). Let x = k + -4. What is i in 2*i**2 - 4*i**x + i**2 + 7*i**4 - 4*i**4 - 2*i**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2916 and 1\/189612.\nAnswer: 15358572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:27 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125036.9622 + 1172.\nAnswer: -123864.9622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:12 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t*t**(-4)\/t*t*t)\/t))\/t**6*t*t**(-3\/8)\/t*t**7\/t*t*t)\/(((t**(-2\/7)*t)\/t*t)**31)**2 assuming t is positive.\nAnswer: t**(-2109\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325*q**3 + 77*q**2 wrt q?\nAnswer: 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. What is the nearest to 3 in -1, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 5. Let g be z(5). Let o = g - -11. Suppose -4*k + 24 + 26 = 2*i, k = -5*i + 35. Calculate the least common multiple of k and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 43*f. Let o(v) = v - 28. Determine s(o(t)).\nAnswer: 43*t - 1204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*b - 19, 4*m - b + 0*b - 13 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202 (base 5) in base 12?\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95335 (base 12) to base 5\nAnswer: -22230422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51661 (b) 0.4 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hbbbbhbhbhb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 2*r - 2*r**2 + 2*r**2 - 2 + r**3 as c + n*r**3 + y*r + t*r**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -274.9 and 182515.\nAnswer: 182240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 - 247*r**3\/3 - 6806*r**2 - 571540*r\/3 - 551368\/3.\nAnswer: -(r + 1)*(r + 82)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -327, -157 in ascending order.\nAnswer: -327, -157, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 0*m**4 + 133*m**2 - 11*m**4 - 103*m**2 in the form s + t*m**3 + d*m + z*m**4 + n*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5538, 21626, 48460, 86046, 134390, 193498, 263376?\n\"Answer: x**3 + 5367*x**2 - 20*x + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892614423?\nAnswer: 109, 2003, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*t**3*u**2 + 339*g*t**3 + 52*g*t**2*u**2 + 2*g*u + 18*g - 9*t**3 - 2*t**2*u wrt t?\nAnswer: -12*g*u**2 + 2034*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 6*z**5\/5 - 237*z**4 + 1488*z**3\/5 + 168603*z**2\/5 - 137808*z\/5 - 6080832\/5 = 0.\nAnswer: -8, 9, 391\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -17*i - 72. Calculate the remainder when j(-7) is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/(-57)*2*(-3)\/(-2). Let z be 17\/(-6 + 23) - m\/19. Which is the third smallest value? (a) z (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241.6 times 9263\nAnswer: 2237940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*k + 1728, -y - 14*k + 16*k = -441. List the prime factors of y.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.053 - -0.153. Let r(k) = k**3 + 7*k**2 + 6*k. Let c be r(-6). Let x = -0.3 + 0.3. What is the closest to c in w, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444141916?\nAnswer: 2, 7, 293, 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249548757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) 6 (c) -0.1 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-156)\/(-10))\/((-8)\/(-20)). Let n = -21 + y. Calculate the highest common factor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/370 and 65\/122026?\nAnswer: 610130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6754 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1521*z**3\/4 - 59133360*z**2 - 12129932*z - 622048.\nAnswer: (z - 155512)*(39*z + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8741.196?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432401?\nAnswer: 432401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67 - 2e4?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1226 - -2?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 - 614*f - 3020 = 0. Calculate f.\nAnswer: -302, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5888484 divided by 140202\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 10:28 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(3\/18*2). Suppose -8*k = -a*k + 68. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22. Which is the closest to 0? (a) 1 (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14120 - -14675. What is the greatest common factor of 480 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 12*m + 10732. Suppose 3*b - m = -2*y, 1352 = 2*y - y + 5*b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*o + 2*o - 20, -4*o + 20 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-3 - (-3 - -3)) + 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - -3 - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k)**(2\/65))**(-5\/11) assuming k is positive.\nAnswer: k**(-1\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5*b + 16. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 11*h**2 - 11*h + 1. Let n be t(12). What is the greatest common divisor of 247 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0177315 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = 2*m - 3, 0 = -2*m - a - 7. Sort -2, m, 3, -1.\nAnswer: m, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 5*k - 5*k)*((4 + 1 - 6)*(k**3 + 3*k - 3*k) + 3*k - 3*k - k**3 - k**3 - 2*k + 2*k - 3*k**3 - 7*k + 7*k + 3*k**3 - 10*k**2 + 10*k**2).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 94 = -2*y, 5*m - 78 = -y + 22. Calculate the remainder when 61 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*l = 18, -4*v + 456558*l = 456556*l - 26 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*t + 11 = 498*t. Put -5, 3, t, 6 in decreasing order.\nAnswer: 6, 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.77 - -0.23. Let h = -592 + 613. Let j = h - v. Is j != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, x: 2}. Give prob of picking 3 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (6 - 3) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmsspyhzm. What is prob of sequence mphy?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - b + 2*b = 0. Suppose 4*f + 3*f = b. Solve f*z + z = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 804, -0.3, -1, -2, 1\/8, -11.5?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - h = n + 1616, 0 = 5*n - 3*h + 8080. Let r be (n\/10)\/((-70)\/50). Let x = -3771\/28 + r. Calculate the common denominator of x and 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/(z\/z**(2\/5))*z**(-1\/12)*z**1)**(-27) assuming z is positive.\nAnswer: z**(-1251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 - 8*r - 14. Let d be m(-4). What is the second derivative of -7*h + d*h**4 + 55*h**5 + 225 - 24*h - 225 wrt h?\nAnswer: 1100*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 31 - (17 + -26 - -16)) + 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 893*a**5 + 2*a - 38*a**2 - 1259*a**5 + 600*a**5 wrt a?\nAnswer: 14040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 17730*t + 15717645.\nAnswer: 5*(t + 1773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 535.6871 days?\nAnswer: 771389.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54258*k**2*l*z + k**2*z + 2*k**2 - 54*k*l*z - 9*k*z - 2855*z - 1 wrt l?\nAnswer: 54258*k**2*z - 54*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-782489.1.\nAnswer: -78248.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26652134 - -344?\nAnswer: -26651460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:38 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bcb (base 15) in base 13?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.53 - 0.39. Let f = -0.08 + j. Let l = 6701.2 + -6701. Which is the second biggest value? (a) 2 (b) f (c) -0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 7*o + 17. Let r be g(4). Let d(b) be the first derivative of -11 - 1\/2*b**4 - 2\/5*b**r + 2\/3*b**3 + 0*b + 1\/3*b**6 + 0*b**2. Factor d(z).\nAnswer: 2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35515 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/10*2 - 20. Let b = -20 - q. Suppose -4*t - 287 + 335 = 0. Calculate the highest common divisor of t and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 128\/81925?\nAnswer: 128\/81925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 3*o)*(-o + 0*o + 2*o)*(0 + 1 - 2)*(4*o + 6 - 6).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 116*g - 1170. Calculate y(-44).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/9 + 244*t\/3 - 7442 = 0. What is t?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 60. Let y = m + 32. Which is the third biggest value? (a) y (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000345136722 to seven decimal places.\nAnswer: 0.0003451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 15876.\nAnswer: 15876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9619093.\nAnswer: 11, 17, 51439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1412 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)\/c**(1\/4))\/(c**(2\/3))**(-4\/3))**26 assuming c is positive.\nAnswer: c**(1963\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:35 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g - 3. Let o be f(-2). Let b = o + 27. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 2211261\nAnswer: -2211266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-3458.\nAnswer: -2074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/252 and 37\/840?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*u*v**5 + 12*u*v + 23980*u + 350180*v**5 + v**2 wrt v.\nAnswer: 5100*u*v**2 + 21010800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0080535 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2*m - 3*m + 13*m - 6*m as x*m + y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 10 = -12*x. Let n be 33875*2*x\/5. What is n rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4 + 3*g - 4*g - 5 + 2*g. Let v be a(6). Solve l + 0*l + 8 = v*c, 3*l = -4*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.25 times 0.1?\nAnswer: -2.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -6 + 7 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-12)\/4)*(-2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-2 + -3 + 7)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -28 + (-59)\/(-12)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 132222.5 and -558794117.\nAnswer: -558661894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let t(b) = -149979 - 180*b**2 + 149978 + 4*b**2. Calculate t(c(j)).\nAnswer: -704*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from {f: 4, k: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196780.766153 - 196781. Let j = -4.466 + 4.7. Let h = m + j. What is h rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 2*z + 9*z + 6*z to c + r*z and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 100. Let z = 33 + c. What is the closest to z in -1, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - m**2 - 5*m**2 + (-2*m + 68*m + 4*m)*(7*m + m - m) as k*m**2 + t*m + f and give k.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k + 1. Suppose -662 = -9*h + 58. Let n = h - 81. Let i(r) = -r**2 - 4*r - 4. What is n*i(v) - 4*t(v)?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 168719.\nAnswer: -168718.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2. Suppose 2*l - 8 = -0*l. Let q(n) be the third derivative of 0*n**3 + 0 + 0*n + 1\/12*n**l - 2*n**2. Calculate s(q(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 173\/(-7) - (-18)\/(-63). Let k = q - -32. Let v = k + 12. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38199550.\nAnswer: 2, 5, 23, 59, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v + 1. What is the first derivative of -2*c + 4 + 1 - v - 11 wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.881mm in micrometers?\nAnswer: 895881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 17*c**2 + c - 54. Let s be m(-8). Suppose -h - h = -s*x - 2164, 4 = -2*x. Calculate the highest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70cc0 - 0?\nAnswer: -70cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(7\/(21\/(-2)))*89\/(-178)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let h(u) = 72*u**2. What is h(w(b))?\nAnswer: 288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.26 + 3.48. Let u = h - 5.22. Which is the second biggest value? (a) -0.1 (b) -1 (c) -3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 54. Let n be c\/1 + -7 + 5. Suppose 9*i - 12*i + 3351 = n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2. Let i be k(1). Let f be -3 - (-3 + (-2)\/12). Which is the nearest to 1\/4? (a) i (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + (-3 + 2 - 1)*(-2 - 1 + 1) + 5 - 3 - 4 - 5 + 2 + 4 + 2 - 4 + 1)*(0 - 2 + 3)*(-5*v + 2*v + 0*v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 54*h**2 - 288*h - 166. Calculate u(-59).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 1774 = -679*w + 3930 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 - 2*x + 2. Let h be q(2). Let v = 9 + -5. Calculate the remainder when 9 is divided by (-4 + h)*(-10)\/v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-90) + (10 - (-464)\/(-40))\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 2*o**2 + o - 2. Let d(g) = -g + 1. Let m = -104 + 103. Determine m*b(c) - 2*d(c).\nAnswer: -3*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4552762 - -4553056.97905. Let z = -285.979 + k. Let y = z - 9. Round y to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -424, -651, -896, -1165, -1464, -1799?\n\"Answer: -f**3 - 208*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - g**2 + 1 + 1 - 1 + g. Let t be d(-3). Factor 0*b**3 + 46*b - t*b**2 + 2*b + 19*b**2 + 3*b**3.\nAnswer: 3*b*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z - 75 = 157. Sort 4, -4, -10, z.\nAnswer: -10, z, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0*x)\/x)**(-6\/23)\/(x\/x**(2\/19)*x*x*x*x\/x**(-1\/5)) assuming x is positive.\nAnswer: x**(-11702\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 34. Let p(s) be the first derivative of 6*s**2 - 3*s + 1. Calculate the remainder when w(-6) is divided by p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 3*k**5\/20 + k**4\/2 - k**3\/2 - 3*k**2 - 18*k. Suppose q(d) = 0. Calculate d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - -6.442. What is w rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501840, 501831, 501810, 501771, 501708, 501615, 501486, 501315?\nAnswer: 501096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 264025\/18 - 14676. What is the common denominator of 85\/48 and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1345015 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a7fe (base 16) in base 12?\nAnswer: 447852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1176 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 310823960?\nAnswer: 2, 5, 7770599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2)\/6)\/((-32968)\/(-1236300))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from dvbibbib?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 3*o - 8. Determine f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 - 2567672.\nAnswer: -2567624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804313.\nAnswer: 804313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 16. Let c(x) = -4*x + 8 + 5*x + 0*x. Let r be c(-5). What is the greatest common divisor of v and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) 5\/4 (b) -0.04 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/7176225 and -29\/444.\nAnswer: 1062081300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 + 2. Let q be (1\/((-28)\/8))\/((-2)\/14). What is z(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-133)\/(-42)*-2)\/(1\/(-3)). Suppose 0 = -s - 2*g + 3269, i*g = 18*g - 1. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9975*n + 12 - 11399*n - 12 to l + r*n and give r.\nAnswer: -1424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghoohoohohhg. Give prob of picking 1 g and 3 h.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 2, 2\/9, 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.7 - -23. Let k = -153410 - -153413.30065. Let j = k - l. What is j rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 j when four letters picked without replacement from jgjgjjjgggjjgjjgygg.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 - 4*x + 22. Determine n(4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 67. Let y be a(8). Let v be (-3 + -6 + 29)*y\/(-12). Solve 1 = v*z + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -51. Let f = 38 + r. Which is the second biggest value? (a) f (b) 1\/4 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 3, c: 4, m: 2, r: 1, z: 2}. Give prob of sequence xz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a - 14*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 26*j - 34. Give o(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2630, 2484, 2328, 2156, 1962, 1740?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 13*v**5\/25 + 29*v**4\/30 + v**3\/5 - 964*v. Factor n(f).\nAnswer: 2*f*(f + 1)*(26*f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11574, -23381, -35422, -47697, -60206, -72949?\nAnswer: -85926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -784228.2 rounded to the nearest one thousand?\nAnswer: -784000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-8))\/(15\/(-16) + 1). Let m(b) = b**2 - 5*b + 11. Let h be m(6). Suppose f = -13*c + h*c. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 1:34 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from uououooooouuooooouu.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -25217 less than or equal to -25216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 505*u + 135. What is the lowest common multiple of 3630 and s(3)?\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -22*s - 576. Let x be f(-30). Suppose 2*c - 7*g - 3 = -2*g, 2*g - 22 = -5*c. Suppose -y + c = -8. Calculate the highest common divisor of x and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 2.98. Let s = -56 + 55.6. What is the closest to -2\/3 in s, h, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8263842 less than 147.117?\nAnswer: -8263694.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1*y)\/y)\/y*y)**(1\/28)\/(y**(-1\/2))**(2\/15))**1 assuming y is positive.\nAnswer: y**(43\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*z - 1636 + 451, -3*z = v + 1189. Suppose 212 + 58 = -3*r. Let t = r - z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(5 - 5 + 4*h) + (-2 + 2 + 2)*(-3*h + 5*h - 4*h) + 2*h + 2*h - 2*h + 3*h - 5*h + h - 3*h + 4*h + 3*h to the form p + w*h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.95 + 0.05. Let w = 203 + -203.7. Let c = j - w. Sort -1\/6, c, 0.3.\nAnswer: c, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = 0, 276 = 4*f + 5*t - t. Let l be ((-26)\/f)\/(6\/(-10)). Factor 0*x**2 + 0 - l*x + 2\/3*x**3.\nAnswer: 2*x*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 + 7379 = -202*d for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111\/(19314\/812) - (22\/6 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -35. Let o be (5*-1)\/((-9)\/t). Solve 0 = -5*x - 4*p + 24 - 4, 5*x - 3*p - o = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0 - 1\/12*s**4 - 1\/3*s**3 + s**2 + 0*s + 1\/30*s**5 + 1\/60*s**6. Factor c(g).\nAnswer: 2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 36 = 4*x - 11*n, -3*x + 36 = 3*n. Let g be 8 - x\/(-16)*-12. Factor 96\/5*r + 2\/5*r**3 + 128\/5 + 24\/5*r**g.\nAnswer: 2*(r + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -3720.\nAnswer: -3720.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -398 + -3 + -9 + 6 - -4. Let h be -5 + (19 - j)*(-1)\/(-7). Which is bigger: 56 or h?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 2*b - 800, t = -5*b + 218. Suppose t = -3*w - 2*k, -77 = 4*w - 5*k + 187. Let a = w + 94. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -629b9?\nAnswer: 629b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 9 = 0. Suppose 4*k = k - y*q + 24, 5*k - 28 = -q. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, 1 c, and 1 s when four letters picked without replacement from csyscycbyyszccbbcc.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/210*(6 + 50\/(-15)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-266)\/252)\/(3\/(-54)). Solve i = -9*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)\/(i**(-2\/3)*i))\/(i\/(i*i**(-1\/4)))**(-8\/17)*i\/i**(-5)*i**6*i*(i**(-2\/5))**(-7) assuming i is positive.\nAnswer: i**(3974\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -271, -374, -459, -520?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 100*a + 13. What is the remainder when (-36)\/(-21)*(-2 - -16) is divided by y(25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + t**3 - 2 + (3*t**3 - t**3 + 0*t**3)*(-2 - 2 + 2) - 6*t**3 - 2*t**3 + 4*t**3 + 0 - t**3 + 0 - 49*t**3 - 54*t**3 + 52*t**3.\nAnswer: -59*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b8b76 - 2?\nAnswer: -18b8b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -547?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2 - 2*y - 1. Let j be o(-1). Solve -4*k = 4*d, 3 - j = -4*k - 5*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (948*t + 114*t**2 - 948*t)*(1 - 2 - 2) to p*t**2 + a + y*t and give p.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from bdbbdbfbdftbff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*u - u - 1167, 3*g - 1166 = -2*u. Find the third derivative of -388 + 13*b**2 - 57*b**5 + g wrt b.\nAnswer: -3420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 30459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Suppose -2*b + 5 = -7*b, 4*h - 6 = -2*b. Let o(p) = 74 - 74 + h*p**2. Calculate l(o(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1423012513 - 2?\nAnswer: 1423012511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 5)*1368\/27. Let s = u - 101. List the prime factors of s.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1910 - 1892. Which is smaller: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/8 + r**4\/24 + r**3\/2 + 2*r**2. Let c(w) be the first derivative of v(w). Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-9)*m)\/m*((m**(4\/9)*m)\/m)\/m)\/(((((m\/(m*m**0))\/m)\/m*m)\/m)\/(m\/(m\/((m**10*m)\/m)))))**29)**2 assuming m is positive.\nAnswer: m**(1798\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -46477*z + 84027*z - 57411*z in the form v + g*z and give g.\nAnswer: -19861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*s = 1, -292*o - 5*s = -253*o - 131 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*f**3 + 0*f**5 - 118*f**5 + 138*f**5 + 7*f**3 - 4*f**5 - 7*f**3 + (-1 + 1 - 2*f)*(4*f**4 + 2*f**4 - 4*f**4).\nAnswer: 12*f**5 + 3*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 83.89796 weeks?\nAnswer: 50741486208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/50 - x**3\/5 + 2*x**2\/5 + x. Factor f(p).\nAnswer: 2*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3397 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 4, l: 1, x: 2, o: 1}. Give prob of sequence eqe.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 9*s = 10. Factor 24*k + 9*k**2 + s + k**3 - 3*k**4 - 4*k**3 - 9*k + 1.\nAnswer: -3*(k - 2)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6488)\/184908 + (-262)\/114.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2017 + 4?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6052716 decades in months?\nAnswer: 72.632592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/(((-64)\/20)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -564, 51, -5 in increasing order.\nAnswer: -564, -5, -3, 0.4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 1\/2*p**2 + 2 + 0*p - 4\/3*p**3. Find the second derivative of j(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -69. Suppose -y + q*t + 278 = 0, 12 = 4*t + 28. List the prime factors of y.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043645110 to the power of 1\/2, to the nearest integer?\nAnswer: 32305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24929920 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 5*f**2 + 3*f**2)*(f**3 + 3*f**2 + 2*f**3 - 5*f**3).\nAnswer: -10*f**5 + 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -142, -314, -554, -862?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310190188 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 2*l**2 + 0*l**2 + (l - 1 + 1)*(l + 0*l + 0*l) - 2805*l**2 - 2809*l**2 + 1 + 2017*l + 5616*l**2.\nAnswer: 4*l**2 + 2017*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + u + 48 = 0, 5 = 4*g + 4*u - 19. Suppose -h - 129 = -4*f - 36, 3*h = g. What is the highest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 4397168?\nAnswer: 145106544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-52)*3*-8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1817965 (base 10) to base 5.\nAnswer: -431133330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*f, t - 3*f = 2*t + 5. Solve -t = -q + 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18503.\nAnswer: 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*f + 18*w - 15*w, -5*w - 29 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + f - 1335, 3*y - 6*y + 5*f + 801 = 0. Let k = y + -284. Suppose -6*q = -q. Which is the third biggest value? (a) -2\/5 (b) q (c) -4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144271047071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Let w = -2 + s. Suppose n = -4, 4*n - w + 3 = -5*f. Solve -1 - f = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23236295 - -418462513\/18. Let u = -11618 + k. Calculate the common denominator of u and ((-6)\/5)\/((10865\/375 + -29)*-110).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 12. Let j be p(-12). Let r be 3\/((-1 - 0)\/(j\/(-6))). Let u = 52 - r. Put 1, u, 7 in descending order.\nAnswer: 7, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 2*g + 4*g + (7*g + 80 - 80)*(3 + 3 - 4) - 1 + 1 + 2*g as b + n*g and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2774 is divided by 460.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 8*t + 2. What are the prime factors of x(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3631*y**3 + 13431*y**4 + 602*y**3 - 13430*y**4 - 1)*(-5*y + 4*y + 3*y).\nAnswer: 2*y**5 - 6058*y**4 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3*t + 5*t - 5*t**2 + 2*t**2 - 2*t**3 as x + m*t**3 + i*t + w*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 2, 389, 49, 1, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 17*s**2 - 30*s + 15. Let x(o) = 2*o - 8. Let z be x(6). Suppose -5*t = -n + 74, z*t - 1 + 66 = -5*n. Let v be u(t). Solve 2*l = -l + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14112 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023871036 rounded to six dps?\nAnswer: -0.002387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 12*j - 82. Let i(r) = -r**2 + 5*r + 16. Let c be i(j). Let s be 15\/(-10) + 7\/c. Solve 2*y + 7*k = s*k - 22, -20 = 5*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*m = 18, -4*m + 2*m = -4*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2. Let q = 6 - -4. Let j be (8\/6)\/((-10)\/375*-10). Suppose -q*w - j = -11*w. Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 15*i - 3*w + 219, 0 = -3*w - 12. Let v(t) = 3*t**3 - 2*t + 1. Let j be v(2). What is the greatest common factor of j and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*x + 2490 = 0, -5*b - 5*x + 7754 = 1514. What is the remainder when b is divided by 317?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 6*h**2 + 2*h + 6. Let w(y) = 7*y**2 - 3 - 4 - 5*y + 3*y - 3*y**3 + 0. Let g(u) = -5*t(u) - 4*w(u). Let g(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -2, 0, 0.5, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**3 - 4*u**2 + 4*u + 4. Let v(t) be the first derivative of -t**3\/3 + t**2\/2 + t + 849. Give -o(q) + 4*v(q).\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5490 = -32*w + 192*w + 21490 for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 122*v**2. Let h(k) = -10*k**2. Let l(n) = 9315*n**2. Let i(q) = 920*h(q) + l(q). Calculate j(i(w)).\nAnswer: 1613450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 992038 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 2. Let c(u) be the first derivative of -u**5\/60 - u**4\/24 - 11*u**3\/3 - 12. Let i(q) be the third derivative of c(q). What is -3*i(f) - 2*k(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 565 - 570. Suppose -5*h + 5 = -p + 10, 0 = 2*p - h - 10. Sort 2, o, p, 4 in ascending order.\nAnswer: o, 2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(10\/7)*d**(-1\/17)*(d*d\/(d\/d**(-44))*d)\/d**(-1\/8))**43 assuming d is positive.\nAnswer: d**(-1734147\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5502\/(-1965)*(-5)\/12\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, -4, -29, -72, -139, -236?\n\"Answer: -j**3 - 6*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d*h**3 - 179*d + 93171*h**3 + 1664 wrt h?\nAnswer: -21*d*h**2 + 279513*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/168 + p**5\/60 - 82*p**2. Suppose g(s) = 0. Calculate s.\nAnswer: -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/22 and -65\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 39*q - 36. Give z(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 138697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwz when three letters picked without replacement from fznzw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-495)\/132)\/(15*5\/120)*(-14)\/7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 4. Suppose 0*m + 2*m = -4. Let u be i(m). Solve -4*q + 0*a - u = a, 0 = -2*q + 2*a + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 14 + 44. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 809*z**2 - 853*z**2 - 3 to the form w + p*z + l*z**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.9 and 1548.86?\nAnswer: 21529.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -2.247. Let n = -4.053 + z. Let u = 29 + -88\/3. What is the closest to -2 in 1\/5, u, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i - 42*i = -64. Solve -5*q + y + i + 7 = 0, 0 = 2*q + 2*y - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9744 and 1740.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23998\/(-4615)*(-5)\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4 + 3*p + 4 - 2*p + 1 - 1 + p + p - 3*p + (1 + 2*p - 1)*(-2 + 6 - 2) + 0 + 0 + 2*p to u + t*p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2913, 2939, 2965, 2991?\n\"Answer: 26*n + 2887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 11, -0.05, 3\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Let m = -179 - -184. Suppose -r*v = v + m. Do v and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-342897)\/(-168)*(-16)\/(-5388). Let n be (5 - 4) + (-1333)\/1347. Let t = n + m. Find the common denominator of 89\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i. Let h(v) be the first derivative of v**6\/72 + 17*v**3\/3 - 4. Let c(m) be the third derivative of h(m). What is o(c(w))?\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:32 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 521*w**2 + 6*w. Let o(t) = 2*t**3 - 1042*t**2 + 11*t. What is -11*h(u) + 6*o(u)?\nAnswer: u**3 - 521*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*z + 400, 3*z = -23*j + 20*j + 1245. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -120081 - 94581. Let v = r - -214662.0999996. Let y = 0.1 - v. What is y rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -59. Suppose -f + 48 = -l*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-15)\/(-20)*2*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671 - 47 - 402 = -16*w. Calculate the lowest common multiple of w and ((-8)\/3)\/(2\/(-3)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, h: 2}. What is prob of picking 2 p and 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + o = -o + 3, -o - 16 = -3*f. Let n be 57\/((7\/4)\/f). Let s = n - 97. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c8ba - 187d?\nAnswer: 1b03b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 + 56 - 4*h**3 - 224.\nAnswer: -11*h**3 - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -5*w. Let z = 1 - 7. What is the units digit of (w\/z + 1)*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 18*t**5\/5 + 22570476*t**4\/5 + 7075584660242*t**3\/5 + 136785902129784*t**2\/5 - 93549132983712*t\/5 + 3144510357632 = 0.\nAnswer: -626948, -20, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 245072 divided by -15317\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzazaggg. Give prob of sequence ggz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3407*s**2 - 7093*s**2 + 5129*s**2.\nAnswer: 1443*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0001 (b) 1 (c) -1281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2319, 4663, 7055, 9519, 12079?\n\"Answer: 4*j**3 + 2316*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 9) in base 12?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r, -103*r + 408*r = 3*v + 98*r + 105*r + 100*r + 27 + 9 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(22))*6 + sqrt(44)\/sqrt(2)*2)\/(-1*sqrt(50)*3*1)*3.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1378260 and 1060200.\nAnswer: 13782600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3 - -4) + -1. Let r(g) = -g + 3*g + d*g. Let z(j) = -6*j. What is z(r(h))?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + 31 - 31)*(1305*x - 2582*x + 27 + 1268*x) to u*x + n + y*x**2 and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*d - 249. Let g = 790 + -786. Suppose -g*u + 553 = -d. List the prime factors of u.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17\/6)\/q**(1\/10))\/(q**6)**15 assuming q is positive.\nAnswer: q**(-1394\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 11:26 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02545 + 0.37455. Let j = 0.09 - 3.09. What is the closest to -11\/5 in j, k, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37396 by -4.\nAnswer: -9349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) 0.22 (c) -4 (d) 3 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, -3, 0.2, -5, 1654?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93107 + 93106.20074. Let l = o + 0.8. Round l to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 29*z - 4. Let i(w) = -2*w**3 - 10*w**2 + 72*w - 10. Determine 5*i(m) - 12*s(m).\nAnswer: 2*m**3 - 2*m**2 + 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 + 17832*o + 99368820.\nAnswer: 4*(o + 11145)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75068 and 216776.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 1. Let p be v(5). Let q = 8 - p. What is the units digit of 1*10 + q + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*i**4 + 6136670*i**3 + 36100295*i**2 + 50902500*i - 6498180 = 0.\nAnswer: -3, 2\/17, 72202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7279d7 + 2e?\nAnswer: -7279a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 34524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 687 = -172*s - 72*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 133 = 42*t + 14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q**2 + 16*q - 333. Let g(l) = -4*l**2 + 12*l - 333. Give 3*a(z) - 4*g(z).\nAnswer: z**2 + 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - (-153)\/(-15)) + (-11)\/(-5). Factor -5\/6*j**i + 0 + 5\/6*j.\nAnswer: -5*j*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 - 22 = 8*u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214 is divided by 575?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35952940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294462 = 31*g + 51*g. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276.688 millennia in years?\nAnswer: 2276688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 88 = -4*l, 4*t + 5 = -0*l + l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:26 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 577 - 573. Let u(w) = -w**2 + 5*w. Let l(o) = -o. Let a be l(-4). Let p be u(a). Solve -z + p*b - 3 = -1, -5*b - i = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 56068.3 kilometers?\nAnswer: 56068300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqpl when four letters picked without replacement from {z: 2, p: 6, l: 4, q: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2126, 2850, 3652, 4532?\nAnswer: 5490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -377 in 4, -44, -0.5, -13, -1\/3, 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 + -62. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*h**2 - 9 + 17 - 7 - 14*h**2 - 1.\nAnswer: -104*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 4*j - 3*j)*(2 - 1 + 0)*(4 - 81 + 24)*(-7 + 7 - 3).\nAnswer: 477*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/((m\/m**(1\/4))\/m))\/(m\/m**(-31)))\/((m**29\/m)\/(m\/m**30*m)))**(-46) assuming m is positive.\nAnswer: m**(7797\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oosvobsotwtos. Give prob of picking 1 s, 1 v, 1 o, and 1 t.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963474.9 millimeters to centimeters.\nAnswer: 96347.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*q - q**2 - 5*q - 11*q + 63 - 14*q to the form a*q**2 + p + l*q and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -34. Let z = 5.2 - t. Let h = z + -6.200033. What is h rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 534\/3 - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2221012101102001?\nAnswer: 2221012101102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 619471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 707 = 5*b - 10*b, -5*s = -b - 154. Let d = 1171\/8 + b. Find the common denominator of -131\/18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*n - 3*n = 920, 3*h + 890 = -5*n. Let k = 62 - h. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 637\/(-14)*(-2)\/(-1). Let b be (w\/(-21) - 5)*-6. Solve -4*v + c = -2, 0 = -2*v - 2*c + b*c + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2227713, 2227889, 2228063, 2228235?\nAnswer: 2228405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, 21457086 in increasing order.\nAnswer: -9, 2, 21457086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 578 and -2363.\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -5 (b) 2\/13 (c) 1\/7 (d) 24 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - 31 - -9) + 9. Solve -a*b - 6 = 3*i, -i = -3*b + 3*i + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 3*q + 2*f, -4*q = 5*f - 12. Find the third derivative of -4*u**2 + 8*u**4 - 2*u**4 - q*u**4 - u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*y + 3*h + 41, 5*y = -4*h - 41 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**3)**(17\/3)*((u*u**2)\/u)\/u*u**(-4)*(u**(1\/3))**(-25) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (23 - (-29 - -37))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211408 is divided by 5526?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.3 + -46.29961488. What is z rounded to six decimal places?\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100613484 to the power of 1\/2, to the nearest integer?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**2 + 3008*g - 565504 = 0.\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49\/9, 0.3, 205\/2?\nAnswer: 205\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -619, -2986, -6931, -12454, -19555, -28234, -38491?\n\"Answer: -789*w**2 + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359354, 359357, 359360, 359363?\nAnswer: 359366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/19)\/s**9)**2\/(s**0*s*s**9)**(-15) assuming s is positive.\nAnswer: s**(2504\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1109.4982044 + 1109.5. What is c rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 33, -7, -83, -207, -391, -647, -987?\n\"Answer: -2*r**3 - 2*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 - 1)*(0*w + 3*w + 0*w) - 3*w + 4*w - 4*w)*(-w**2 - 2*w**2 + 5*w**2) as i*w + l + r*w**3 + u*w**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -54*z + 110. Let c be g(2). Factor 22*i**4 + 44*i**3 + 2*i**2 - 2*i**4 + 9*i**c - 3*i**2.\nAnswer: 4*i**2*(i + 2)*(5*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 b when three letters picked without replacement from hlbhh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6836329 to the power of 1\/2, to the nearest integer?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 32*v - 18*v - 15*v - 11*v**2 as f*v + i*v**2 + p*v**3 + h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8227831077 to 3 dps.\nAnswer: 0.823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5*z**2 - 74*g**3*z**3 + 47*g**3 - 444*g**2*z**3 + 16*g**2 - 12*g*z**3 wrt g?\nAnswer: 120*g**2*z**2 - 444*z**3 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:22 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -434 + -6b?\nAnswer: -4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -87. Let v(b) = b**3 + 6*b**2 + 3. Let h be v(-6). Let d be 7 - (h - c\/(-4)). Which is bigger: 7 or d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131353 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = l - 150, -4*v - 490 = 4*l - 658. Calculate the lowest common multiple of v and ((-96)\/15)\/((-3)\/30).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**4 - 28*l + 28*l - 2*l**3)*(1 - 1 - l).\nAnswer: -6*l**5 + 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 7:38 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -5*b - 3*y + 128, -5*y + 295 = 4*b. What is the greatest common divisor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 686162340.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-48)*(-30)\/(-4). Let l be 188 + -2 + 6 + z. Let y(v) = -2*v + 7. Let m be y(-5). Calculate the highest common divisor of l and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6)\/((-2)\/44). Let x be (-4 + -1)\/(11\/h). Suppose x*a - 9*a + 56 = 0. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*w = -8851 - 53638 for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -39*l + 19. List the prime factors of f(-6).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1, 5*w - h - 5 = 6. Find the second derivative of y**2 - y**2 + y - 5*y + y**w wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.8 + 48.82. Is c >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 42 = -2*z - 158, 0 = 2*z + 12. What is the greatest common divisor of m and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 172\/258*(36 - 0). Calculate the greatest common divisor of 344 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -29. Suppose 0 = g*n + 4*d - 500, 684 = 4*n + 2*d - d. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1190 and 1530?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -40*j**3 - 25*j**2 + 9*j - 12. Let c be g(5). Is -5594 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26288 is divided by 26268.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 237900.1kg in nanograms?\nAnswer: 237900100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89887*22\/(-154)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048028946 to 6 decimal places.\nAnswer: 0.004803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*z + 39*z + 528843 - 482467 = 0 for z.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*c - 1090*c + 434*c - 1029*c.\nAnswer: -1415*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(13 - 1). Which is bigger: y or -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010111111001111 (base 2) in base 9?\nAnswer: 287473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 26967246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*d**6 - 2*d**3 - 3*d**2 + 78*d wrt d.\nAnswer: 43080*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 25 = -5*p, -4*h + 22 = -6*p + 8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.2, -65, -14722?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 - b - 1. Let w(q) = -11*q + 6*q + 4 + 6*q**2 - 2*q + 16. Let m be w(3). Let n = 52 - m. What is y(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11513420.\nAnswer: 2, 5, 17, 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*n + 121. Suppose -4*g - 373 = -6*g - 5*z, -3*z - 948 = -5*g. Calculate the greatest common divisor of g and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 26 + 80 = 0. Suppose -n + 1 = 3*l - 6, r = 4*l - 3*n. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4263.805 rounded to zero decimal places?\nAnswer: -4264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n - 835. Give h(-56).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1, y: 4, b: 1}. What is prob of picking 1 b and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 106. Suppose -5 + 237 = d*c. Does 36 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31674*o + 31731*o - 1254 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/10 - (-3)\/5. Suppose -5*j = -25, -o*g - 88 = -2*j - 283. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:07 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001100111111101000 (base 2) in base 13?\nAnswer: -44c1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 875 + -125. Let b = -53252\/71 + d. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 3*q**2 - 4*q - 1. Let j be y(-4). Let u be 5 + -1 - (-1)\/j. Suppose u = 4*f - 3*f. Is 3 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10038*s + 462 = 9972*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -176, 1, 5.\nAnswer: -176, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 10321*j + 2. Let v(a) = 14*a**2 - 9. Determine f(v(q)).\nAnswer: 196*q**4 + 144242*q**2 - 92806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 13) in base 16?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1.5823, -4 in increasing order.\nAnswer: -4, -1\/2, 1.5823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28\/((-13)\/((-26)\/(-4))) + 25\/5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217856803 take away 0.5?\nAnswer: -217856803.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + -81 + -2 + 0 - (-2 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3865*m + 1136290. What is n(294)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:29 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i + 15 + 2*i - 57 to k*i + v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2317 - 5307 = -953*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 752964.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41258, -309145, -1036260, -2452217, -4786630, -8269113, -13129280?\nAnswer: -19596745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwffsac. Give prob of picking 2 v and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*a + 8*a + 4*x, 4*a - x + 8 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 4?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/16*2736\/(-513).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -24. Suppose -z = u + z - 5, -u + q*z = -12. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 d when three letters picked without replacement from {e: 4, d: 7, a: 2, u: 2, w: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Let b = -0.34 + 118.34. Let z = 118.1 - b. What is the closest to 0.1 in m, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -53, -1\/6, 0.07, 4\/7 in increasing order.\nAnswer: -53, -1\/6, 0, 0.07, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/24 + 7*q**4\/12 + 39*q**3 - 6*q + 3. Let w(x) be the second derivative of z(x). Give w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95245 - -138820. What is the ten thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32292 is divided by 2577?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1277, 1281, 1285?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d + 557 - 557 + 7*d + 11*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 839.6815t to nanograms.\nAnswer: 839681500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 44, 91, 148, 209, 268, 319?\n\"Answer: -u**3 + 14*u**2 - 4*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4378605501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456*j + 28213 = 2*t - 457*j, -5*t + 3*j = -70529. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 8. Let j be q(-5). Suppose 0 = -4*i - 2*a + 36, -j - 13 = -3*i - 3*a. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 6, m: 8}. What is prob of sequence mmm?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 396.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/348 + 1385\/2436. Factor -4\/7*f**3 + 2\/7*f**5 + n*f**2 - 2\/7*f**4 - 2\/7 + 2\/7*f.\nAnswer: 2*(f - 1)**3*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irfiiirrriiiirrrr. What is prob of picking 1 i, 1 r, and 1 f?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.08. Let l = -0.0912 - a. Round l to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 1623155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - (-13)\/(-2)) + 3195570\/236640 + -10 and 37\/56.\nAnswer: 55216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b**2 + 3*b + 3. Let y be f(3). Suppose 0 = -8*g + y*g + 70. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/12 - j**3\/6 + j**2. Let s(u) = -2*u - 29. Let h be s(-13). Determine g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -103401032?\nAnswer: -103401030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -2\/7, 4, -2, 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**20\/(t\/t**31) assuming t is positive.\nAnswer: t**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 20*n - 23*n - 13*n.\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.056 + 0.088. Let t = x + 19.456. Let d = 20 - t. What is the nearest to -0.14 in -2, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3043110.2 + 3043562.19746. Let p = w - 452. Round p to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5940)\/(-11718) - 8\/14\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*s**2 - 43*s**2 + 77*s**2)*(160*s - 18*s - 309*s).\nAnswer: 1002*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1116, 52, 0 in decreasing order.\nAnswer: 52, 0, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 19*c**2 + 41*c + 313. Is a(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 + 181*t**2 - 33*t - 30. What is k(45)?\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 4 - 3*i + 2*i + 5 + i. Let w(q) = -q - 2. Calculate 4*s(f) + 3*w(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 15*d + 32. What is the units digit of i(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3923*a + 27220 = 4445*a - 39724 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4271219ml in litres?\nAnswer: 0.0004271219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 19248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-4)*(-2172)\/(-24435)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3, 3*u - 3*k - 2434 = 2858. List the prime factors of u.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 736 - 61 = 223 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2338 and 103707?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.168 + 1.468. What is the fourth biggest value in o, 1\/2, 1, 6\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*p + 6, z + 3*p - 16 = -4*z. What is the third derivative of -4 - z*d**4 + 4 - 3*d**4 - 4*d**2 wrt d?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -352 - -934. Let t = p + -573. Let l(m) = m - 2. Determine l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p - 3. Let f be ((-2)\/(-5))\/((-2)\/(-20)). Let t be d(f). What is the highest common factor of 68 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 48*g + 147. List the prime factors of y(9).\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48.03196ng?\nAnswer: 0.00000000004803196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + g - 3*g + 26 = 0, 3*q + 2*g + 9 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 + 427. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 678843 and 2493.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 + 623*m**2 - 1307199*m\/4 - 986013 = 0. Calculate m.\nAnswer: -3, 756, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 + 967*i**2\/3 - 242080*i\/3 + 6040100.\nAnswer: -(i - 627)*(i - 170)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16410 (base 8) to base 3.\nAnswer: -101012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/19 - 29724*p\/19 + 16188176\/19.\nAnswer: -2*(p - 526)*(p + 15388)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxqujufjxuxjjjffuf. What is prob of sequence uj?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 + -80. Suppose -y = -a*z - 141, z + 162 - 27 = y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.4930014 - -21.488. Let k = 0.005 + o. What is k rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/26712 and -97\/8992.\nAnswer: 30024288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207.0785 - -207. Let t = r + 9.9085. Round t to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482385.\nAnswer: 5, 496477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125453 (base 6) in base 5?\nAnswer: 11324222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 12 + 14 + 4.\nAnswer: -4*m + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**2 - 4481*p - 94. Let c(t) = -3*t**2 - 896*t - 17. What is -11*c(f) + 2*l(f)?\nAnswer: f**2 + 894*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430 - 1301012223?\nAnswer: -1301013203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/57 and ((-1072)\/114 - -1) + (-165 - -172).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 68, 86 in descending order.\nAnswer: 86, 68, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/122 and -89\/6878.\nAnswer: 419558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 9\/4267, 1\/9, 4.\nAnswer: 9\/4267, 0.03, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**7\/5040 - x**6\/240 - x**5\/60 - 3*x**2. Let l(t) be the third derivative of q(t). Determine l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5690786944?\nAnswer: 2, 59, 753547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -60 + 24 + 2*b + 22 + 14. Let y(p) = 17*p. Determine c(y(j)).\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 26813436*m\/7 - 89870043765762\/7.\nAnswer: -2*(m + 6703359)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(-33 + 30 - 78)*(-5 + 2 - 4)*(-l**3 + 0*l**3 + 0*l**3).\nAnswer: 567*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 208*o - 49316. What is r(237)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m. Let j(h) be the third derivative of -h**8\/20160 - h**5\/6 - 5*h**2. Let s(r) be the third derivative of j(r). Calculate k(s(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/3 - 11*i**2\/2 - i + 22. Give q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*b**3 + 613*b**3 + 2 - 2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 2559 in decreasing order.\nAnswer: 2559, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - h = 564. Let b = h - -46. Let f be (b\/((-3)\/99))\/1. Solve f = -5*y + 2*r, 0 = -3*y + 2*y - 4*r + 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1496 and -67\/2305798.\nAnswer: 156794264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2155 + 595 = 5*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 162. Let b(r) = -24*r + 45. Let g(k) = 3*k - 6. Let s(f) = 2*b(f) + 15*g(f). Calculate s(p(v)).\nAnswer: -3*v**2 + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.34 and -8145571297?\nAnswer: 8145571294.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 24 + 6 - 14 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 7*m + 7. Let h be (-9)\/(6\/(-8)*-2). Let b be v(h). Put -1, b, 2 in descending order.\nAnswer: 2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2088042 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.01, 22.3 in descending order.\nAnswer: 22.3, 3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**4\/12 + m**3\/6 + 2*m**2. Let u be (3\/2)\/(18\/24). Determine o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22309771 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 - 70*m**2 + 28*m + 108. Calculate h(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -210122 (base 3) in base 16?\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least 300463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j**2 - 2. Let m(f) = f**2 + 1. Calculate -i(u) - 2*m(u).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 14 = -4*f, 5*u + 4*f = 3*f + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 greater than 104.756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1172 - 3464\/3. What is the common denominator of 139\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.5, 1056, 1 in decreasing order.\nAnswer: 1056, 8, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -9. Let u = 7 + i. Let p(r) = -r. Let q be p(4). Which is the third biggest value? (a) 0.5 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)\/(sqrt(9)*-2))\/(sqrt(3) - -4*((sqrt(3) - sqrt(48)) + sqrt(3))))**2 + -2 + (sqrt(171)\/(-1*sqrt(9)) - (0 + sqrt(171)))**2 + 4.\nAnswer: 59995\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/2 (c) 4 (d) -7 (e) -2\/15 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -59271 + 59271 + 959*g as j*g + s and give j.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137851510 by 5.\nAnswer: 27570302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -5) + 8 + -2. Let j be (c\/(-6))\/(6\/(-9)). Solve s + 5 = -p, -p + 5*p + 18 = -j*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - n = r - 28, 3*r = 3*n + 36. Suppose 9*j - 3*g - 141 = 4*j, -4*g - r = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 2, u: 1, v: 2}. Give prob of sequence vui.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 5*z - 5*z)*(4472 - 4472 - 542*z).\nAnswer: 1084*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1187670.\nAnswer: -1\/197945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10882976*r**4 + 35*r**2 - 92649.\nAnswer: -261191424*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -55*x**3 + 2*x**2 - 2*x - 3. Let m be y(-1). Let f = -46 + m. Let d = -7 - -10. Solve -d*s = -8*s + f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 0*x - x)*(0 + 2 - x + 7)*(-1 - 3 + 5) to f*x**2 + z + n*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011001 (base 2) in base 13?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 - 372*b - 28. Let u be d(34). Solve 39*h - u*h = 5*o + 29, -2*o = h + 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, s: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 301*p*u**3 - p*u**2 + 79*u**2 wrt u?\nAnswer: 1806*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 4*t - 4, -2*m + 3*t - 1 = 0. Let p(f) = -26*f + 9*f - 7*f - m. What is the remainder when p(-1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**3 + 78*z**3 + 1545*z**3.\nAnswer: 1573*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 852*z**3 - 56*z**2 + 1025*z. Let l(w) = -568*w**3 + 35*w**2 - 683*w. Let s(r) = -8*l(r) - 5*y(r). What is the second derivative of s(p) wrt p?\nAnswer: 1704*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 0.42. Let v = -0.076 + 92.076. Let z = -84 + v. What is the second biggest value in -4, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -200.2 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -12288\/11275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Let t = -1 + z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(98)*-1 - sqrt(98) - sqrt(98))*-3 + -2 + sqrt(98) + sqrt(98) + -2))**2 + ((sqrt(98) + -1)*-2*-6 + 5)**2.\nAnswer: -23352*sqrt(2) + 441625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*z = -2386, 7*b - 6*b - 1193 = -4*z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 1023351*c**2 - 616872711*c + 92880249357.\nAnswer: 3*(c - 301)**2*(c + 341719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1711270, 1711348, 1711426, 1711504?\nAnswer: 1711582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 17*v - 1. Let r be h(1). Suppose 24*u - 70 = 19*u. Is (-104)\/r*u\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*v = -702. Suppose 118*j = v*j - 28. Which is greater: -29 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132162 != 2132165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*11\/(-99))\/((-2)\/24*-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-1) - (-66636)\/(-7404)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 11*y + 10. Let p be w(-4). Let h(n) = n**2 - n - 10. Let f be h(5). Let g(r) = 1 - 9*r + 17*r - f*r. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2708336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 4719708*o\/11 + 23598590\/11.\nAnswer: -2*(o - 2359859)*(o + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -27 + 4 - -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 1\/2*r**2 + 0 - 2\/3*r**3 + 6*r. Let h be a(-2). Solve 3*g - 28 = -5*s - h, 0 = -2*s + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = -2*f, 7 = 3*f + 2*q - 5. What is the third derivative of -z**f - 3*z**2 + 2*z**2 - 7*z**3 - 3*z**2 wrt z?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3 and -53.0407?\nAnswer: 49.7407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 31*o**2 - o. Let w(f) be the third derivative of f**4\/3 + f**3 - 3*f**2 + 9*f. Let s(j) = 7*j + 5. Let k(g) = 6*s(g) - 5*w(g). Determine k(n(t)).\nAnswer: 62*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i - 18*i**2 - 17\/3*i**3 + 0 + 1\/12*i**4. What is the lowest common multiple of d(23) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*u + 24. Let h(v) = -v + 7. Let q be h(5). Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 825768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73088707 to the power of 1\/2, to the nearest integer?\nAnswer: 8549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74.5 - -74. Let n(h) = h**3 + h**2 - 3*h + 1. Let j be n(-3). Let g be (-6)\/j*(-1)\/(-6). Which is the second biggest value? (a) x (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 380*b**3 - b**2 + 2*b - 379*b**3 + 3 + 2*b**4 as n + r*b**4 + f*b + k*b**2 + c*b**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)*q)**33 assuming q is positive.\nAnswer: q**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let r(h) = -h - 1. Let p(s) = -4*s - 9. Let f(l) = -p(l) + 5*r(l). Let u(q) = -3*f(q) - 4*j(q). Suppose 60 = -14*v - v. What is u(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/35)\/w*w)\/w)\/w)**(2\/5) assuming w is positive.\nAnswer: w**(-144\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 5 = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221211212 (base 3) to base 9.\nAnswer: 27755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 20*r**2 + 11*r + 13. Let m be f(-21). What is the closest to 0 in -3, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 49 - 9*y + (-2*y + 0 + 0)*(8 - 75 - 43) - 3 + 3 + 3*y.\nAnswer: 214*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 361163869 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -174 (base 15) to base 6\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.55996 decades to centuries.\nAnswer: 8.155996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*g + 701*g + 5269 - 30879 = 0. Suppose 2*b + 2*b - 60 = 0. Solve -g*l + 21*l = -b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 - 14*v. Let n(k) = -4*k**2 - 15*k + 1. Let q(s) = -5*n(s) + 4*o(s). Find m, given that q(m) = 0.\nAnswer: -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -440, -466, -502, -548, -604, -670?\n\"Answer: -5*p**2 - 11*p - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -5\/6149949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.2, -2\/7, 128107?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**5\/5 + 248*l**4 - 182012*l**3\/5 - 16559496*l**2\/5 + 3968932014*l\/5 - 3952191744\/5 = 0?\nAnswer: -128, 1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let x(k) = k**3 - 2*k**2 + 5*k - 1. Let h be x(2). Suppose -h = d - 5. Which is the third biggest value? (a) z (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f**2 + 3*f**2 + 1 + 2*f**2 + 4*f**2 to the form w*f**2 + q*f + a and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171\/(-38)*(-5 - 7\/((-147)\/(-264467)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 4*d = 11*k + 9, 4*k - 5*d = 15. Let f(s) = s - 2. Let z be f(3). Suppose -z + 66 = k*u. What is the remainder when 36 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akakeikfkkkaqfkek. What is prob of sequence fia?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22140000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 136*l**4 + 127*l**2 + 4*l - 2. Let x(g) = -272*g**4 - 256*g**2 - 7*g + 3. Let d(p) = -7*k(p) - 4*x(p). What is the third derivative of d(v) wrt v?\nAnswer: 3264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 52 = -4*i - 4*u, i = -4*u - 1. Let m be (3\/(-3) + i)*350. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 5*s, -s + 6*s + 5*l - 5 = 0. Let t = 4 + s. Let i be 2 - 1 - 2*-1. Sort t, -3, i in ascending order.\nAnswer: -3, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007431093045 plus 7?\nAnswer: 1007431093052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 274 divided by 2\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/13, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x - 62*x = 1672. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239225 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, -0.4, -171 in descending order.\nAnswer: 28, 5, -0.4, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 27*f - 3. Suppose 5*i + 95 = -5*p, 0 = -2*p - 1 - 7. What is the remainder when 208 is divided by u(i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 + 1\/3*a**5 - 4\/3*a**2 + 0 + 5\/3*a + 4\/3*a**4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 + 1350672?\nAnswer: 1350566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/4)\/(6\/(-8)). Suppose -2*l - 6 = -4*s - 0*l, 0 = -c*l + 10. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58468 divided by 4\nAnswer: -14617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzhhhymzyhpkzzmzym. Give prob of picking 1 m and 1 p.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**41\/z))**(4\/7))**(-14))**25 assuming z is positive.\nAnswer: z**7800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.70843 from 0.2.\nAnswer: 0.90843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + 28. Suppose f + 5*t + 562 = 4*f, -2*t = -f + 187. Let r = v + f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 17*l + 28 = -2*j, 2*l - 60 = 5*j. Let b = 22 - l. Factor 1\/4*p**3 + 0*p**b - 1\/4*p + 0.\nAnswer: p*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t**2 + 5*t - 5*t)*(0 + 4 - 2)*(t - 3*t - 4*t).\nAnswer: 132*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 273\/(-168)*28\/(-22) and (-4)\/66*-114*(-1)\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 417*y - 12. Let j be q(3). Suppose -4*u = k - u + 251, j = -5*k + u. Let v = k + 396. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110300002021 (base 4) to base 6\nAnswer: -312331241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**27))*m*m**(-2\/5))**(-41) assuming m is positive.\nAnswer: m**(5207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7867.\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11aca?\nAnswer: 11acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 785694 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -21*a**2. Let f be z(1). Let k be (24\/14)\/((-6)\/f). Solve k*u - 5 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Let p be (-1)\/k - (-70)\/21. Suppose 0*l - 2*l + 50 = u, -p*l - 4*u = -75. Calculate the remainder when 47 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 47\/425 (b) 2\/5 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2771073?\nAnswer: 3, 47, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -700 + 703. Solve 0 = -2*z + l*p + 18, -5*z + p - 3*p + 7 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1411 - -2173. What are the prime factors of o?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 - (6 - 16)\/(155\/30 + -9 + 3)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.61933 millennia in decades?\nAnswer: 3961.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78385 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**7\/2520 - a**6\/120 - a**5\/20 - a**4\/6 + a**2. Let y(d) be the second derivative of h(d). Give y(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 46656*m**2 = 0.\nAnswer: -11664, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*g - 9. Let y = -0.27 - 0.03. Which is the third biggest value? (a) y (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -80, 28 in descending order.\nAnswer: 28, 4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, -48 in descending order.\nAnswer: 4, -22, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 3, o: 4, f: 2, m: 4}. Give prob of sequence olmy.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 49?\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m - 2. Let k be t(-2). Let l(c) = c**2 + 3. Let d be l(k). Solve -d*h - 3 = -h - 5*o, 2*h + 3*o = 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**2. Let w(x) be the first derivative of -78 + 0*x - 13\/3*x**3 + 0*x**2. Calculate l(w(z)).\nAnswer: -1352*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 258020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.58 rounded to 0 decimal places?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = 42*v. Which is the third biggest value? (a) -1\/4 (b) 29 (c) v (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**4 - i**3 + i**2 + i. Let p(c) = -14*c**4 + 4*c**3 - 4*c**2 - 4*c + 1. Let w(h) = -4*a(h) - p(h). What is the derivative of w(k) wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 26*h - 6 = t, -3*h + t + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + h**5 + 1 + 0*h**5 - h**5 + 2*h**5 - h**2 + h**2 - h**5 + (-5*h**3 - 4*h**3 + h**3)*(-3*h**2 + 3*h**2 - h**2) + h**2 + 2*h**5 - h**2.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 0 + 0)*(8*m**2 + 2*m**2 - 3*m**2) + (-m + 2*m + m)*(-49 + 49 - 9*m**3).\nAnswer: -39*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -4. Let x = r + 3.1. Let o be -1 - (-1 + 0 + 1). Which is the third smallest value? (a) -0.4 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 407 + 245. Suppose x = -4*z + 2036. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 177896.53 days?\nAnswer: 25413.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-1))*o)**14*(o\/(o\/(o*o*o**(-1\/2)*o)*o))**(10\/9) assuming o is positive.\nAnswer: o**(131\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25.029619 times -5\nAnswer: 125.148095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 at least as big as -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 96, 103, 114?\n\"Answer: 2*l**2 - 3*l + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14508 - (-7 + -1))*1532. What is a rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7721, -15328, -22913, -30476, -38017, -45536?\n\"Answer: 11*c**2 - 7640*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 20542.535, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2972410, 3, -0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725 + -598. What is the remainder when w is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxiyryx. Give prob of sequence xrx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6602 = -55*y + 6822. Put -2, -10, -5, y, -63 in descending order.\nAnswer: y, -2, -5, -10, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 4, -1, -11, -2 in decreasing order.\nAnswer: 175, 4, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 + -0.06. Let y = -0.4 + u. Let o = 0.3 - y. What is the third biggest value in -5, o, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.92 + -32. Let z = -95.15 + 95. Let m = z + n. Round m to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 15 = -h. Let v be -4*((-21)\/6)\/7. What is the third derivative of 2*g**h + 0*g**3 - 3*g**v + g**2 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5139)\/(-468) + -11)\/((-5)\/2 + 2)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21449 + 21465. What is the remainder when 111 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/2*(36\/(-28) + 3). Let u(t) = -t**2 + 14*t - 12. Let v = 245 + -104. What is the remainder when v is divided by u(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -31*k**3 - k**2 - k + 10. Let c(m) = 62*m**3 + m**2 + 2*m - 19. Let t(j) = -6*c(j) - 11*q(j). Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u**(-3\/16) assuming u is positive.\nAnswer: u**(-51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 3*s**2 + 5*s + 2. What is the least common multiple of k(4) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 6. Let c(s) = -1. Let z(p) = 6*c(p) + 2*x(p). Let r = 125 - 116. Is z(r) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 32*o + 3. Let a be d(-3). Is (a\/(-6))\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/4, -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -9, 15, -6\/11 in descending order.\nAnswer: 15, -6\/11, -2, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3952\/22155 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073245 to 4 dps.\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 582589 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*-11*30\/35. Is y greater than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3048676 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 14*o - 11*o. Suppose -o = -b + 7. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 1. Let o be l(5). Is o - ((-1788)\/18)\/(8\/852) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/30 - (2015\/(-30))\/(-13). Let u(g) = -28*g + 5. Let f(n) = -28*n + 4. Let c(p) = l*u(p) + 6*f(p). Determine c(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:15 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d - 21. Let m = -8 + 8. Let s be l(m). What is the tens digit of s\/(-2) - 3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235*i = -10*i + 40159 + 24581 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10) - (-203)\/(-5). Let g be ((-20)\/x)\/(2\/24). Suppose 0 = 4*b - 14 - g. Solve 5*o - 12 = 3*q, -2*o + b*o = -2*q - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1919448 (base 10) to base 12\nAnswer: -786960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 + 121. Solve y*j = -5*r, -j + 4*r + 1 = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(1344))\/sqrt(7) + sqrt(3) + -5)**2.\nAnswer: -100*sqrt(3) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phpgkgpgrkrrphkc. Give prob of picking 1 r and 1 c.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2557757 + 23?\nAnswer: -2557734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 10. Let r(i) = i**3 + 8*i**2 - 12*i - 10. Let d be r(z). Let f = d - 9. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i. Let a be ((5 + -4 - 1)*1)\/1. Let n(t) = a*t + 3*t + 13640 - 13640. Determine n(f(r)).\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j = -64. Factor -32*s + 7*s**3 + 9*s**3 - j*s**4 - 2*s**5 + 16*s**4.\nAnswer: -2*s*(s - 2)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*f = 12, -3*g + 19 = 4*f - 5*f. What is the second biggest value in 0.5, g, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppuussspp. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/4 + 63\/8. Suppose -13*q = -3*q - 50. Which is the smallest value? (a) 4\/7 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2001, 3526, 5091, 6714, 8413?\n\"Answer: 3*m**3 + 2*m**2 + 1498*m + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9722 + 1?\nAnswer: -9721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 - 5785*i - 190914. Calculate p(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -6 (c) -2\/13 (d) -420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696514 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3 - ((4 - 4) + -6)) + -22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1496 and 6355382?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*j + 2712520 = -492*j. Is -19945 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37467 and 317439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13872 = -185*l - 87*l for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 4820.\nAnswer: 43380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9*w - 5*w - 16, -r - 4 = -4*w. Let o be (-14 + 4)*((-18)\/(-5) + r). Suppose 134 = o*g - 42. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + -1 - -1. Suppose d = c*d. Suppose -3*n + 3 = -d. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42bcba (base 15) to base 3.\nAnswer: 12222111102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/1 + -3*1. Let s(k) = -k**3 + 8*k**2 - 3*k + 19. Let f be s(8). Is 21 a factor of ((-126)\/z)\/(1\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492086242.\nAnswer: 2, 23, 163, 65629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 11 + 5 - 10 as p + y*q and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 50*u**2 - 10*u + 32. Let f be b(-13). Suppose 19*l = f + 7196. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 76880288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 3. Calculate b(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*a - 36, 2*h + a = -31 - 1. Put 0, -4, 4, h in ascending order.\nAnswer: h, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118441 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + 492. Let s = d + 140. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643009 is divided by 16075.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 2\/2)\/(100\/(-227875)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q - 2. Suppose r = 2*z + 11, 21 = -2*z + 4*r - 5. Let l(o) = 0 + 2*o**2 + o + 0*o**2 + 1 - o**2. Let x(p) = z*l(p) - i(p). Determine x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 2*(sqrt(136) + (sqrt(136) - -1*sqrt(136)) + sqrt(136)))\/sqrt(8) + (sqrt(34)\/sqrt(2)*-3 - (6*sqrt(17)*-1 - sqrt(17))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5774, -5773, -5772, -5771, -5770?\n\"Answer: q - 5775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8727\/235629)\/((-2)\/(-540))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 681*r**6\/40 + 91*r**3\/3 + 1891*r**2. Differentiate k(q) wrt q.\nAnswer: 6129*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((108\/15)\/6)\/(5\/(2400\/18))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 15*q**2 - 2*q + 77. Let h be w(-13). Let i = -174 - h. What is the smallest common multiple of i and 4?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73872 + -73867. Solve 33\/5*r**3 + 19\/5*r**4 + 3\/5*r**j + 4\/5*r + 0 + 21\/5*r**2 = 0.\nAnswer: -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*8\/40)\/((-8)\/(-100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:35 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 7*u**3 - 7*u**3 + (-1 + 1 + u**3)*(1 - 3 + 0) + (-2*u**3 + 0 + 0)*(-3 + 1 + 3) + 2*u**3 + u**3 - 2*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/87047554 and -52\/27696949.\nAnswer: 609332878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.97634 - 0.87434. Let t = f - 75. Let l = 0.041 - t. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 - 4*w**2 - 5*w + 4. Let r(z) = z**3 + z**2 + z - 1. Let p(v) = v. Let b be p(9). Let x(c) = b*r(c) + 2*j(c). Let x(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 20) + (7 - -2) + -15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + -16 + (-18 - (-33 - -9) - -10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as 24.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -5*z + 3*t - t, 15 = 5*t. Calculate the remainder when 1052 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43982 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5028? (a) -0.3 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s + 1. Let a(m) = -2*m**3 - 5*m**2 + 5*m - 2. Let d = -1487 - -1488. Calculate d*a(q) + 5*c(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n = 38*n - 3*y + 6, 3*y = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157414961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r**2 + 982*r + 515. Give g(-75).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/7*((-1071)\/135)\/17. Let p(t) = -t**3 + 8*t**2 - 9*t + 7. What is p(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 21 - 49 = 3*v, 0 = -2*v - 10. Let u = s + 12. Suppose f - 4 = -2*x - u, -29 = -5*f + 4*x. Solve -2*i = 3*i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 x, and 1 y when four letters picked without replacement from ynzyryyyzynyyxzz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= -15477419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*c - 0*n - 9, 3*n = 0. Suppose -3*v - c*m = v - 631, v - 160 = -3*m. What are the prime factors of v?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521216685 minus -0.3?\nAnswer: 1521216685.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30186 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -7.9\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 8 = -9*z. Let t(f) = -f**3 + 5*f**2 - 2*f - 9. Let n be t(z). Let k be n\/4 + (-17)\/(-4). Solve 1 + 3 = -k*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 21 = 3*o, 2*o - 582*m + 584*m = 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -143*t + 7. Let w(x) = 2*x**3 + 3*x**2 + 7*x + 10. Let l be w(-2). Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 7*b + 23. What is w(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 2, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/16 - (-25)\/2. Let w = 2 + l. What is the remainder when 53 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/4 - 103*a**4\/4 + 1247*a**3\/2 + 4055*a**2\/2 + 8321*a\/4 + 2809\/4 = 0.\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 133\/(-18) - 2\/(-4). Let t = -2.94 + -0.06. Which is the third biggest value? (a) j (b) 2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 54, 81, 118, 165, 222, 289?\n\"Answer: 5*u**2 + 2*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 10*s + 17. Let m be i(3). Let q(l) = l**3 - 6*l**2 + 4*l + l - 4 + 2*l. Calculate the smallest common multiple of 4 and q(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*u = -303*u - 20. Let t(y) = 6600001*y - 1. Let n be t(1). Suppose -n = 2*q - u*q. Round q to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51437421 and 266994.\nAnswer: 10269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 0 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(405) - (-1 + sqrt(405)))*-1 + -4 + (sqrt(405) - (-5 + sqrt(405)*-2)) + 5)**2.\nAnswer: 216*sqrt(5) + 3661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 0*h**2 - 16*h**3 + 6*h + 2*h**2 + 4*h - h - 13. List the prime factors of o(-4).\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10523790269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -15*m**3 - 196*m**2 - 28*m - 32. Determine c(-13).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*j**5 - 803*j**4 - 121243*j**2 wrt j?\nAnswer: 1020*j**2 - 19272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 = -2*f. Suppose -w = -f + 3. Let y = 3 - 0. Solve y*g = 4*g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 50290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h + 4*k - 40, k = 4*h - 15. Suppose s = -0*s + 78. Suppose 4*q = -4*d + 176, -4*d + s + 147 = h*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10299 = -5*w, 3*f - 2055 = -63*w + 62*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -770, -1538, -2306, -3074, -3842?\nAnswer: -4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:47 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1747032*l + 1901046 wrt l?\nAnswer: 1747032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*y + 3 = -3*y, -3*v = y - 5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from lccllcel.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 60*u**4\/7 + 17319*u**3\/7 + 44832*u**2\/7 - 183297*u\/7 + 12870 = 0.\nAnswer: -286, -5, 3\/5, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:04 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:47 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 + 3*r**4\/4 + 11*r**3\/6 + 11*r**2\/2 + 705*r. Determine i(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 4*g - 353745 = -98181. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 307970670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + 3\/5. Suppose 0*k - 12 = -3*k. Let p be 5 - -5 - -1*(3 + -2). Sort k, z, p in increasing order.\nAnswer: z, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-6)\/3)\/((-8)\/(-16)))\/1. Let p be -3*14\/18 + x. Which is bigger: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 17888 = -6*z. Suppose 2*f - 2*h = z, f = -2*f - 4*h + 1677. Is f a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 737236 (base 8) to base 9\nAnswer: 413563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-202)\/1008 - (-177)\/1593)*2\/5. Which is the smallest value? (a) 1 (b) 9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c (base 16) in base 3?\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - r = -5*r - 16, 20 = -2*c + r. Let l(z) = -z**3 + 4*z**2 + 91*z - 2. Let i be l(c). What is the second smallest value in 0.2, 2\/7, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 857*y + 386*y + 13194 + 13951 - 7257 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 37220864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - x**2 - x. Let z(s) = s**3 + 3*s**2 - 4*s. Let r(t) = t**3 + 2*t**2 - 3*t. Let u(h) = -3*r(h) + 2*z(h). Determine -m(v) - u(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22662406 or -22662404?\nAnswer: -22662406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 320\/(-8 + (-378)\/(-45)). What is the highest common factor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34171*q**2 - 19304*q**2 - 123758*q**2.\nAnswer: -108891*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*n + 8*n + 5, -3*n = p + 10. List the prime factors of ((-1078)\/462)\/((2\/n)\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/12 - j**3\/6 + 2*j**2 + 3*j. Suppose -6 = 4*s - 2. Let r = 1 + s. What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/5 + (-2)\/5. Suppose 0 = 5*f + 1 - 26. Let d = v - f. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-14 + 17 - -9) + -19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 435 + -462. Let k be 9 + ((-1)\/2)\/(b\/(-270)). Solve 0 = k*q - 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let a = -32.937 + -0.063. Let f = a - -32.8. What is the second biggest value in w, f, 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162*g*p**2 - g - 759*p**2 wrt g.\nAnswer: 162*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 79585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 10. Let u = -294 - -282. Let j = 17 + u. Let c(f) = 4*f - 11. Give j*c(m) + 6*g(m).\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25.9 and -914.\nAnswer: 23672.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = 3*q - 7, -1 = 2*a + 5*q. Suppose -32 = -a*k - 3*v, 5*k + 2*v + 31 - 100 = 0. Differentiate -k + 8 - 3*w**3 + 12 wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37956.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) -3.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and (-2080)\/312*354\/(-5)?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 12*u. Let z be r(-7). What is the greatest common factor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 28 - ((-3 + 7 - 1) + 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 + 7*c - 1. Let o = -75 - -88. Suppose -o*x - 15 = -41. What is the units digit of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26336304.\nAnswer: 2, 3, 37, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 16*v + 39. Let s be r(13). Which is the closest to s? (a) 3\/2 (b) 4\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -53*n**2. Let g(w) = -22*w**2. Determine g(f(h)).\nAnswer: -61798*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -159807.6055 to the nearest one thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-42)\/8)*(0\/2)\/6. Which is greater: l or 3\/21815?\nAnswer: 3\/21815","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13702 - -33626?\nAnswer: 47428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13*p**2 + 142*p. Let a(l) = 5*l**2 + 48*l. What is 17*a(f) - 6*j(f)?\nAnswer: 7*f**2 - 36*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 4*t + 2*t)*(-3 + 5 - 1)*(-22 - 38 - 2)*(-1 + 2 - 3).\nAnswer: -124*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = 3*p, 3*p - z - 2*z - 12 = 0. Suppose x - 20 = -p*x. Solve 2*r = -2*r + x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 2*x + 3, 4*j = -4*x + 4. What are the prime factors of j\/(-5) + (-580)\/(-25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000509457768 rounded to six dps?\nAnswer: 0.000509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88988 bigger than 88707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2114, -4200, -6286, -8372, -10458?\nAnswer: -12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 372751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1785*x - 58929. Give r(33).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -10*j + 1710. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018481 to 4 dps.\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybgaybbkylbbggyyy. What is prob of sequence yya?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 6, -1, 1 in descending order.\nAnswer: 25, 6, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8153832.6 seconds?\nAnswer: 94.3730625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9476 is divided by 158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3298, 6, 1, 2 in descending order.\nAnswer: 6, 2, 1, -3, -3298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q + 3*y + 2*y, 2 = 4*q - 2*y. Let d be (0 + q)\/(10\/(-40)). Is (30\/(-9))\/(d\/(-78)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 + 2*r + 3. Let h be v(3). Suppose 2*t - 3*k - 132 = 0, -7*t + 352 = -2*t - 2*k. What is the highest common divisor of t and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23425600?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454375 is divided by 25243.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 4*b + 4*b)*(6*b**2 + 41*b**2 + 9*b**2)*(2 - 2 - 2*b**2).\nAnswer: -224*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 149*j**2 - 5044*j + 12. Give w(52).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 - 4)*(342 - 157 + 121)*(2*f**3 - 4*f**3 + 0*f**3).\nAnswer: -5508*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13435 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*l - 51*l - 310. Suppose 0 = 2*f - 2*c + 32, 5*c = 3*f + 71 - l. Which is smaller: f or -17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/35150 and 119\/2223700?\nAnswer: 42250300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99162 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -3*t**4\/4 + 6*t - 6. Find the first derivative of i(o) wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4294, 4264, 4234, 4204?\n\"Answer: -30*s + 4324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 434*i**3 - 3*i**2 - 5*i + 15. Let c be t(2). Suppose 5*p - 205 = c. What is the lowest common multiple of 6 and p?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -311 - -317. What is the closest to 0 in -0.5, 2, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -13496191, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((35\/7)\/30)\/(1\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-204)\/153)\/((-2)\/12). Suppose -t + 1071 = j*t. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79467930165.99998891 + 79467932291. Let p = -2125 + n. Round p to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121*w + 193*w - 1 + 3 - 12*w + 183*w in the form j + x*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-3 + 1 + 3) + 4 - 3 - 3 + 2 - 1 + 1)*(2 + x - 2) + (-3 + 3 - 2*x)*(-2 - 4 + 4) + (-2 + 2 - 3*x)*(0 - 1 - 1) + 5 + 4*x - 5.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 37. Determine f(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and -3.52.\nAnswer: 147.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232.8 - -144. Let p = 86 + b. Let i = -13.4 - p. Round i to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 1 g when three letters picked without replacement from cmciccogoggooy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, -5, 78?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107995706 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 10, 0, -10, -594 in ascending order.\nAnswer: -594, -10, -1, 0, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 - 42382*a\/11 + 1018320\/11.\nAnswer: -2*(a - 24)*(a + 21215)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 6060.89\nAnswer: 303.0445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 1 + sqrt(1539) + 4)**2*3.\nAnswer: 540*sqrt(19) + 18543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/5)*v)**29 assuming v is positive.\nAnswer: v**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1758457453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*-188426\nAnswer: -2261112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26149122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156219?\nAnswer: 3, 7, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139001401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7209*k + 2490*k - 250 + 129 + 121 in the form p*k + w and give p.\nAnswer: -4719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let k(c) be the third derivative of 5471*c**5\/60 - 21*c**2 - 2. Determine x(k(l)).\nAnswer: -29931841*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 11*g - 5. Let w(m) = 2*m - 8. Let z be w(8). What are the prime factors of p(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*c + 10906 = 94*c + 180*c - 322*c for c.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 391 - 389. Solve c*v = 8, 3*v - 21 = -4*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 40, 63, 86, 109?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 15. What is the remainder when 364\/8 - h\/4 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f - 4*r - 119, -5*f - 3*r - 191 = 0. Let w = -0.6234 + 0.5234. Sort -3, f, w, 4 in descending order.\nAnswer: 4, w, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313184258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 28*j**2 - 145*j + 61. What is w(11)?\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.34 + -4.3. Which is the third biggest value? (a) p (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34390640400 rounded to the nearest 1000000?\nAnswer: -34391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 346895671 plus -1051?\nAnswer: 346894620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2 + 363\/(-55)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24943 + 12633. Is v at least as big as -12310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 + 6*u**2 + 2*u + 6. Suppose 3*s - 5*g = 2, 3*s = 6*s + 5*g + 38. Let a(f) = -20*f**3 + 17*f**2 + 6*f + 17. Give s*a(m) + 17*w(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 136555 + 143083 = 0. Solve 4*o + t - 280 = x, -6 = 3*x - 3*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 7*r**2 + 4*r**2 - 16*r + 21. Is z(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:56 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.968 - 0.762. Round h to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -62, 1808, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 1. Let t(p) = -4*p**3 + 3*p**2 - p + 3. Let n(a) = -5*q(a) + t(a). Let g be n(-4). What is the closest to -0.1 in -3\/4, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 115900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:33 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x + 35*x - 1 + 0 + (2*x + 3*x - 7*x)*(2 + 3 - 3).\nAnswer: 36*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 925?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2 - 13\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 + 3*p + 23. Suppose -7*q + 97 - 13 = 0. Is n(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741.\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-860)*(-552)\/345*50\/4?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 11:26 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2657 + -1750. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 3*f**2\/2 + 4*f + 153. Calculate g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/24390 and -41\/8688260.\nAnswer: 78194340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u - 2*u**3 + 0*u**3 - 8*u**2 + 0 - 1. Let v(k) = -k**3 + 0*k**3 + 10*k - 2*k - 4*k**2. Let n(g) = -6*i(g) + 13*v(g). Give n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:47 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 20 = 4*w. Suppose -4*a + w = -3*q - 2, -3*q = -a + 6. Suppose u + 0*u - 3 = a. Solve 2*n + n = -u*s + 6, 2*n - 13 = -5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:04 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 7*q + 35. Calculate j(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 31. What is the second derivative of -p*s**4 - 17*s**4 + 13*s + 13*s wrt s?\nAnswer: -252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5, -2, 2.1, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207714407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 214?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrjrjrrjrrrrrrjjrrj. What is prob of picking 1 r and 2 j?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13355862 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 2)*(426658*d - 426658*d + 22984*d**2) to the form y*d**2 + b*d + m and give y.\nAnswer: -68952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (0 - -2) + 9. Suppose -z*c + 11*c = -63. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 4*n**2 - 4*n**2)*(14 - 14 - 4*n)*(-n + 2 - 2).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 30*c**2 + 56*c - 30. Let f(y) = 15*y**2 + 27*y - 12. Determine 5*f(s) - 2*g(s).\nAnswer: 15*s**2 + 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5615405\nAnswer: 561540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -4.8. What is the closest to -1 in -4, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168634551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 4*v + 119. What is the remainder when 25 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -14*l - 728. Let z = l - -588. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 n when four letters picked without replacement from {z: 8, c: 1, n: 8, t: 1}?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 48 = 0. Suppose -5*t + w = -3*t - 443, -4*t = 3*w - 871. Suppose -t = -5*d + 165. Calculate the remainder when d is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, h = 3*h + 4*l + 42. Let i(a) = a**3 + 14*a**2 + 12*a - 14. Is i(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*m - 247*m = -42 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 3*p**3\/2 + p + 41. Let v(u) = 3*u + 6 - 3 - 3. Calculate l(v(i)).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1 - sqrt(91))*-6 + sqrt(91))\/(sqrt(63)\/(sqrt(45)\/sqrt(5))) + 2 + (sqrt(208)\/sqrt(4)*6 + sqrt(52))\/(sqrt(64) - sqrt(4)).\nAnswer: 2 + 46*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 17 + 3. Suppose -9*o + 120 = -z*o. Find the common denominator of 22\/5 and (55\/3 - -4)*(-9)\/o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*1\/(-2))\/(305\/(-244))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 352\/(-64)*(3 + 1101\/(-363))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15) - ((-20980274)\/105 - -12). What is h rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*-1*(-732)\/183.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15972*s + 241379 = -6071 - 24074 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.06168.\nAnswer: 0.012336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 339 (b) -1 (c) -4 (d) 0.3 (e) 0.69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2)*(8 + -7). Let l(p) = -4*p. What are the prime factors of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180 + -93. Let b = -84 + u. What is the remainder when ((-2)\/6)\/(2\/(-42)) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 0*p**3 + p**3 + 5*p - 5*p - p**3 + (2*p - 4*p + 0*p)*(p**2 - 3*p + 3*p) + p**3 + 8*p - 8*p - p to f + z*p**3 + a*p + t*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11.86 (b) 0.04 (c) 2\/13 (d) 1 (e) -1.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -156. Let d = n + -89. Sort -3, 10, d.\nAnswer: d, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -250 + -380. Find the common denominator of 2\/15 + 5159\/a and -11\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40)*-6)\/(19\/(-304)*894).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-172)\/1032)\/(7\/(756\/(-15))))\/((-17)\/(-15)).\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143263999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, z: 4, u: 7, k: 8}. What is prob of picking 1 s, 1 u, and 2 k?\nAnswer: 196\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 94. Suppose 1 = -5*n - 4*a + 24, 4*n = 2*a + m. Let i be n - -1 - (2 + 0). Solve 0 = i*d - 4*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-3 + (-55)\/(-15)) - -10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7*k**2 + 7*k - 9. Let v be m(6). Let u be 10\/6 - (-3)\/v. Let j = 47\/2 + -25. Which is the second smallest value? (a) j (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 9. Let z(m) = -m + 6. Let s be z(0). What is the tens digit of a(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)\/(sqrt(9) + sqrt(81)) + 2)**2 - ((sqrt(180)\/sqrt(3))\/sqrt(12) + (sqrt(10)\/(-1*sqrt(2)) - sqrt(5))))*-6.\nAnswer: -24*sqrt(5) - 327\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzapkppkzkz. Give prob of sequence az.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 14 - 6 = 0. Factor -10*u**2 + 18*u**3 - 3*u + 4*u - 14*u**4 + j*u**5 + u.\nAnswer: 2*u*(u - 1)**3*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478 is divided by 272?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/5428137 and -31\/9742810.\nAnswer: 379969590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27872)\/(-1040)*((-3)\/(-12)*10)\/1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**6 - 50*g**5 - 3*g**4 + 2*g**2 + g + 669.\nAnswer: -720*g**3 - 3000*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let q = 2 - 0. Suppose q*n + 1 = 4*n + p, 3*p = -n - 12. Let o(y) = y + y - n*y. Give h(o(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:24 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2. Let u(d) = 104*d**2 - 44. Let i(a) = 7*a**2 - 3. Let m(n) = 88*i(n) - 6*u(n). Determine m(z(y)).\nAnswer: -648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 20638?\nAnswer: 61914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -280.84386 and -0.09?\nAnswer: 25.2759474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -81*d - 1546. Give u(-16).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 67, 5, -3, 13, -36, 7\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98994.5 - -24942.5. Let j = p + -123882.027. Let v = j - 55. Round v to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 168 = -3*n, -59*n = -63*n - p + 170. What is the least common multiple of 2812 and n?\nAnswer: 30932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + a)*(0*a**2 - a**2 + 2*a**2) - 11*a**3 - 10*a**3 + 0*a**3 - 2 - 8*a**3 + 2.\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11690 * -0.9.\nAnswer: -10521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(1\/7)*g**(-10)\/(g\/((g**11*g)\/g)) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2331 + -2327. Let c(f) = 7*f**3 - 2. Let o(u) = 21*u**3 - 6. Determine v*o(g) - 11*c(g).\nAnswer: 7*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g + 2 - 5 + 2)*(-g**2 + 3*g - 3*g) + (-18 + g + 18)*(3*g**2 - 3 + 3).\nAnswer: 12*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 438*f - 9152. Calculate t(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 8*l + 9. Let x(f) = 7*f**2 - 8*f + 8. Let o(z) = 4*w(z) - 5*x(z). Factor o(u).\nAnswer: -(u - 2)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)*b**(4\/7)*b**(1\/2)\/b*b\/b**(1\/7)*b assuming b is positive.\nAnswer: b**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.002, -809, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*y + 28, -3*y - 11*j + 88 = 14*j. Which is the closest to -3\/5? (a) 1\/4 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141\/1967 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (237*(-170)\/(-20145))\/(149\/1)\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -109, -137, -149, -139, -101, -29, 83?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**5\/j*(j\/(j**(1\/2)\/j))\/j)\/(j**0)**(8\/9)*(j*j*j\/j**(-2\/11)*j\/(j*j\/j**1)*j)\/(j**(1\/8)*j**2\/j) assuming j is positive.\nAnswer: j**(753\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/378*(-12)\/(-5)*(-7)\/(-78).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*n**2 + 272*n**2 - 7123 + 277*n**2 + 277*n**2.\nAnswer: 3*n**2 - 7123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -15634?\nAnswer: 15633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -764, -1528, -2292, -3056?\n\"Answer: -764*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -30032231 (base 4) to base 3\nAnswer: -2112201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -99.8 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 4583 + 4568 - 9151.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/54*(2\/(-4) + 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 9576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*x = -3*x + 175, 25 = -5*x. Let c = t + -49. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (9 - (11 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 2091*t**2 - 696*t**2 - 699*t**2 - 695*t**2 + 2*t**3 + 1763 as z + d*t**2 + s*t**3 + g*t and give z.\nAnswer: 1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 5*s + 34, -5755*s + 5750*s + 7 = 2*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 + 1 = 0, -25 = -3*u - 5*p. Let n(d) be the third derivative of 0 + 1\/90*d**u + 0*d**3 + 2*d**2 - 1\/360*d**6 + 0*d - 1\/72*d**4. Factor n(a).\nAnswer: -a*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 417 - 431. List the prime factors of -3 - 927*v\/21.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggag when four letters picked without replacement from {j: 2, g: 9, s: 1, a: 6}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjejjjzzze. Give prob of picking 1 j and 1 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose -2*j = -3*k - 522, -w*k + 1084 = -0*j + 4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 609*g**2 - 1848*g**2 - 6*g - 5935 - 9*g**2 + 280*g**2 wrt g.\nAnswer: -1936*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -505?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**3 + 3 - 90*v + 18*v**3 - 5*v**2 - 1 + 8*v**2 - 6*v**2 wrt v?\nAnswer: 102*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26057 is divided by 94?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/470435 and 6\/553?\nAnswer: 37164365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 957730539 a multiple of 1570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106522 divided by -1?\nAnswer: -106522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**2 - 11006*c - 2511524. Determine m(-194).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/7, -15, 68, 72?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, g: 3}. What is prob of sequence ggv?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-22)\/(-44)*26\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 + -2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576*n**2 + 580*n**2 - 2296*n**2 + 580*n**2 + 563*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1031 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -22 + -102 + 122?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121121022002 (base 3) to base 2\nAnswer: -1001111110010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 5*t + 2*t + 395273 - 395273 + 4095*t + (4 - 1 - 2)*(0*t + 4*t - 2*t) in the form u + c*t and give c.\nAnswer: 4095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**7\/210 - b**6\/60 + b**4\/12 + b**3\/6 - b**2 - 2. Let w(y) be the second derivative of i(y). Let w(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (8 - 3) + 36. Suppose -2*y + 3*i = -149, h = y + i - 24. Suppose -3*n - 5*v + 65 = 0, -4*n - 27 = -5*v - y. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 19. Let b(v) = -v - 2. Let t be b(2). Put -4\/5, t, n in increasing order.\nAnswer: n, t, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*9\/(-6). Suppose 51*s + 62 = 2 - 42. Put s, 5, -47, u in descending order.\nAnswer: 5, u, s, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 1481 = -1039. What is the hundreds digit of (-7 - a\/(-21))\/((-2)\/1854)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*l + 1072*l + 85333 + 55370 - 32697 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {o: 3, d: 1, f: 3, t: 1, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*x**5 + 20*x**3 - 301*x**2 - 4683944*x.\nAnswer: -680*x**3 + 120*x - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 17. Let k(z) be the first derivative of -8*z - 26. Calculate -2*d(l) - 5*k(l).\nAnswer: -2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1687424985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1410908 and 8120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2890, 275 in decreasing order.\nAnswer: 275, -5, -2890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z)**(-21\/4)\/((z**1*z*z)\/z*z)**(-11) assuming z is positive.\nAnswer: z**(423\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*x - 8509 = 0, -12*f + 4259 = -10*f - x. What are the prime factors of f?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.8 - 16.\nAnswer: -147.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -0.5 (c) 187\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 14*c**2\/11 + 20*c\/11 - 32\/11.\nAnswer: -2*(c - 8)*(c - 1)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -4, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2. Let c(l) = -64*l**2 + 7*l - 12. Let g(p) = -4*p**2 - p + 2. Let f(b) = c(b) + 6*g(b). Give f(o(j)).\nAnswer: -4312*j**4 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 602 divided by 86\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 11. Determine g(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56632923, -56632931, -56632939?\n\"Answer: -8*w - 56632915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001319459023 rounded to five decimal places?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1424 - 573. List the prime factors of s.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose r*t = f + 4, -4*f - 4*t - 1 = -33. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l + d = 34, -2 = -2*d. What is the nearest to l in 4, -1, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 61*c**2 + 2*c - 79. Is m(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, 2, 2\/707, 1\/3 in increasing order.\nAnswer: -2\/31, 2\/707, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 6237.\nAnswer: -5\/6237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**6\/60 + 11*p**3\/6 + p**2\/2 + 45*p. Let j(a) be the second derivative of b(a). Let n(h) = -2*h. Determine j(n(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*d = -866 + 203, -o = 3*d + 197. Which is smaller: -1725\/8 or o?\nAnswer: -1725\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 108594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-804)\/9)\/(10\/(-15)).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-304)\/95*120\/(-48) + (-257)\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -h + 630. Let v be 20\/h*(3 - 0). What is the nearest to v in -1, 5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 2*p + 4. Let c(a) = -a - 24. Let h be c(-28). Give n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 2, q: 1, h: 1, c: 2, r: 1}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvl when three letters picked without replacement from {l: 4, s: 6, v: 1, r: 1, k: 3, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -286 - 7*f - 8*f + 6*f - 611 - 34*f wrt f.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-12 + (25 - 6))) + -43\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8) + (-5 - (-13 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/30 and 137\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Let j(v) be the third derivative of v**5\/60 + v**3\/2 + 2*v**2. Let o(w) be the first derivative of j(w). Give k(o(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/4, -1\/4, -419?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 6 - 1\/3*s**3 + 54*s - 1\/2*s**2. Let w be v(0). What is the greatest common divisor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 146? (a) -4 (b) -0.3 (c) -6\/5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1625 - 1)*30\/(-36).\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.33 + -0.03. Let n be (-13)\/(-57) - (-2)\/(-6). Let q = -0.98 - 0.02. What is the closest to q in y, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*y = 2, -4*y = -o - 4*o + 28. Suppose -o*l + 257 + 59 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 66 = -19*s. Let g(h) = 26*h. Let r(c) = 9*c. Calculate s*r(u) + 4*g(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*h + 286 - 802 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Suppose 0 = v + 4*v - 10, 3*v - 1 = 5*z. Let s(w) = 25*w - 5. Let x(u) = u - 1. Let h(q) = z*s(q) - 5*x(q). Calculate j(h(b)).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 933218?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 v when three letters picked without replacement from {r: 1, u: 3, d: 3, w: 3, v: 5}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - k - 11 + k. Let d be ((-1)\/(-2))\/(23\/230). What is j(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/21)*w**(-2\/13))\/(w**(2\/7))**(6\/19))\/((w*((w*w\/w**(-1\/2))\/w)\/w*w*w)\/(w*w**(-5\/3)*w*w))**(-49) assuming w is positive.\nAnswer: w**(1099829\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 4, w: 5}. What is prob of picking 4 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*v = 685*v - 278*v + 508 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -449, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/2952 and 131\/360.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3083435, -12333735, -27750903, -49334939, -77085843, -111003615?\nAnswer: -151088255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446669?\nAnswer: 3446669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-9) + (-89)\/3. Suppose -a = 5*k + 209, -5*a - 117 = -4*k - 290. Let y = c - k. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1101010100011010001000111010?\nAnswer: -1101010100011010001000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*o + 167 = 0, 173 = 2*s + 5*o - 166. What is the lowest common multiple of 56 and s?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 45*f - 4851 = 0. Is 64 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 27 - 132. Let x(g) = a*g + g**2 + 4 - 6*g - 2*g - 11*g. What is x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9381 in 1\/6, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*j + 22, -4*w = 4*j + 35 + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**3\/6 + 2*h**2 - 16*h. Let j = -33 - -33. Determine s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112 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: Is 10499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2\/8 + 93*d\/2 + 2883\/2 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28361\/30 - 2819\/3. Calculate the common denominator of 103\/5784 and b.\nAnswer: 28920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**6\/30 - 433*m**5\/20 - 22*m**4\/3 - m**3\/2 + 840*m + 2. What is the third derivative of x(b) wrt b?\nAnswer: 24*b - 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 - 217 - 10 + 428*q**2.\nAnswer: 428*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 132\/5. What is the second smallest value in v, -31, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:21 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-85)\/(-150) - (-4)\/(-6). Let h = -0.1 - -0.2. Which is the closest to h? (a) -2 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3406493*t**3 + 6990981.\nAnswer: 10219479*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-2*sqrt(5)) - -5*sqrt(6)\/sqrt(2).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 79*s**2 - 84*s - 5383. Calculate t(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 143 = -2*c, 39*x + 5*c + 179 = 43*x. What is the remainder when 157 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -40. Let t be (-14)\/c + 2\/4. Do 1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 66770718?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 33 = -9. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*d - 65, 4*d - 22 = 3*d + 3*l. Let z be d\/2 - 7\/(-14). Suppose o**3 - 7*o**3 + z*o - 10*o**3 - 3*o**4 + 18*o**2 - 7*o**4 - 8 = 0. What is o?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/237 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (-150)\/(-12))*-10. Let j = i - -99. Solve -3 = 4*c + t, 0*c - 4*t + 28 = -j*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 4255 = 4489 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 2732\/3)*(-87699)\/(-1426).\nAnswer: 2, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 128784\/(-4960)) + 1\/10?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175.45 - -114.27. Let p = 295 - q. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 1\/3*c**3 + 0*c**2 + 0 - c - 1\/8*c**4 + 1\/120*c**5. Let m(s) be the second derivative of n(s). Determine m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2036870*s + 2150831 wrt s?\nAnswer: 2036870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(624)\/(sqrt(12) + sqrt(12)*-3) + sqrt(52)) - sqrt(52))**2 + 0 - -4*3*(3 + sqrt(468))) + -5.\nAnswer: 44 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*p - 39*p + 2*p**2 + 1 - 18*p)*(2*p**2 - 6*p**2 + 2*p**2) to t*p**2 + d + h*p**4 + o*p**3 + s*p and give o.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*(sqrt(480)\/sqrt(10) - sqrt(48))\/sqrt(2))\/(sqrt(72) + ((sqrt(72) - (sqrt(72) + sqrt(72)*-2*2)) + sqrt(72) - sqrt(72))))**2 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4477987 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*o = 55, 0 = 5*o - 41211 + 41361 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3468 and 118082.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 19. Let h(n) = -n**3 - 11*n**2 + 14*n + 1. Let p(f) = -2*f**3 - 22*f**2 + 29*f + 1. Let s(l) = -5*h(l) + 2*p(l). Let v be s(u). Is v at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 17 = 3*j - 3*k, -j = 5*k + 18. Let i = j + 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250 is divided by -8*62\/3*279\/(-186).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = u, -5*i - u - 3*u + 27282 = -2*i + 27306 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2516 - a2?\nAnswer: -2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50901 is divided by 25436?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54128 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/352 or 1?\nAnswer: -3\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -37 in descending order.\nAnswer: 3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 5*r**2 - 4*r - 2. Let d be w(4). Let c = -2 - d. Suppose c = 4*p + 4*j + 20, 4*p - 3*p - 2*j - 4 = 0. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2 - 39032\/(-2788)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280298?\nAnswer: 2, 269, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3140 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10)\/(-6) - (-93 + -35)\/64?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:28 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -0.1794?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*c - 14, -304*c + g = -307*c - 4 - 30 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101758139023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19240 divided by 13\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -p + 20, 6 = -2*p + 2*x + 22. Let c = 79 - 49. Let t = c + -21. What is the least common multiple of p and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:00 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 359 + -22708?\nAnswer: -22349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2502 and 21545.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1733596 and 1733599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 252981\/15 - (-2)\/(-5). Suppose -2*o - 3*o = f. Let k = o + -3127. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6517413 to the nearest integer?\nAnswer: 2553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/5 - (1 - 1135\/(-525)) and 53\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.5, 2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 + 3. Suppose -5*j - 27 = -4*r, 6 = -2*r + 4*r - 4*j. Suppose -r*d - 6 = -19*d. Let h be l(d). Solve 0 = 3*z + h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t - 8. Let w be b(4). Let p(z) = w - 11 - 200*z + 199*z. Let u be p(11). Calculate the greatest common factor of u and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 9*b - 17. Let z be c(-8). Suppose 2*i - i + y = 26, -5*i = 4*y - 130. What is the greatest common divisor of z and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 92 = 76. Which is smaller: -4 or a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:37 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 1. Let a be b(-10). Let g = a + -27. Calculate the smallest common multiple of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-8550925.\nAnswer: 3420370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989821013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -m. Suppose -158 = -4*z + m*z. Calculate the remainder when z is divided by 8\/(1 - (-6)\/(-10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-140)*(740\/(-5))\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128340134?\nAnswer: 2, 13, 1109, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -544638 - 674.\nAnswer: -545312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3973 and 3618?\nAnswer: -14374314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2607\/(-1848)*14 + 21.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120984 - 568*b - 2\/3*b**2.\nAnswer: -2*(b + 426)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*u + 13, -5*u = -2*w + w + 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1333581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2179\/20 + -109. Find the common denominator of 35\/4 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (1 - 1) + 52\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*t = 20, 27 = 4*o + 81*t - 76*t. Put o, -13, -6, -3, -4 in descending order.\nAnswer: o, -3, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9070243877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 13. Let f = 181 - m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -127, 0.4, -383?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfflflfffffffffflff. What is prob of picking 2 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119243 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. What is the common denominator of n + (-56)\/(-3) - 2 and 0 - (-6)\/(-4) - (-37)\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 7. Let k be (-39)\/b - 2\/4. Solve -k = -5*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*m - 2161 = -781. Let c = 3 - 8. What is the closest to 0.1 in c, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*l = 513, -3*l = 4*c + 2*l - 440. Suppose 2*i - c = -i. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127946.\nAnswer: 2, 7, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5063*s**3 + 8*s - 8. Let t(y) = -1687*y**3 - 3*y + 3. Give -3*q(v) - 8*t(v).\nAnswer: -1693*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 - 3. Which is the nearest to 1\/2? (a) 5 (b) n (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (7 + -6) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x + 99. Let v(o) = -o**3 + 16*o**2 + 17*o + 8. Let r be v(17). Calculate the remainder when 23 is divided by c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8223 and 657?\nAnswer: 1800837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-5) + 32\/(-80). Is -24*-10*r\/16 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13696 and 61632?\nAnswer: 123264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71104 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5613.\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s*s**4)*(s**(-2\/7))**(-24))\/(s**(3\/4)*s**(-1\/10)*(s**(2\/7))**10) assuming s is positive.\nAnswer: s**(-113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001110 - -10?\nAnswer: -10000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9254334.\nAnswer: 2, 3, 83, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -109, -5, 4 in descending order.\nAnswer: 4, -5, -29, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t)*(-40 + 1 + 20) + (22 + 37 + 2)*(-3 + 3 + 1)*(0*t + t - 2*t).\nAnswer: -99*t","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 219?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -4104121242?\nAnswer: 4104121242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*p + 379, -4*p + 621 = u + 4*u. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 574, 651, 742, 853, 990, 1159?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -1 - (-12 + (-6 + -27 - -7)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/15 (b) -12.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 + 779885*b**2 + 38226130*b + 37446240 = 0. Calculate b.\nAnswer: -48, -1, 156026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/2520 - r**6\/720 + r**5\/60 - r**4\/4 + 3*r. Let z(m) be the third derivative of q(m). Solve z(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 2, m: 5}. Give prob of sequence bbu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2977 and 687.\nAnswer: 8931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 147. Let r(g) = -g**2 + 29*g - 2. Let t be r(p). Calculate the highest common divisor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g = 2*z - 62, 2 = -z. Let s(d) = -2*d + 112. Let u be s(g). Suppose -4*c + 235 = c. Is u at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 6. Let m be x(-3). What is the least common multiple of 1\/m + (40\/3)\/4 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/14)*c\/(c\/(c\/((c\/c**(-14))\/c)))*c\/(c**(-6\/5)\/c)*c*c**(-18)*c)**(-30) assuming c is positive.\nAnswer: c**(5463\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 0*x + (-4 + 2 + 0)*(-x + 3*x - x) + 4 + x - 4)*((-2 + 4 + 0)*(-111 + 161 - 100) - 4 + 2 + 1).\nAnswer: 303*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/3 - 2*s**2\/3 + 133*s\/3 - 130\/3 = 0?\nAnswer: -13, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0613 and -0.0109.\nAnswer: 0.0504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2669\/5 + (-4)\/(-20). Let j be 5 + (-5 - -4) + x\/2. Suppose w = -82 + j. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 24. Let c be x(-16). Let n be 330\/8 + (-18)\/c. What is the second derivative of -19*f - 15*f + n*f - 6*f**5 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22856 + 22859. Let z = -2 - -1.8. What is the second smallest value in -5\/3, s, -4, z?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 60251323*m + 120502687*m - 60251364*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = -0*r. Calculate the lowest common multiple of 6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 29 = 1. Calculate the smallest common multiple of q and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {q: 5, y: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 639*n**7\/35 + 783*n**3\/2 - 250*n**2 - 2. What is the derivative of u(g) wrt g?\nAnswer: 15336*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 838682?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaqaaaaqaaaaq. Give prob of sequence aqa.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 + 22*k**3 + 60*k**2 = 0. What is k?\nAnswer: -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 10. Let k be h(-10). Solve t - 2*t - 2 = k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, -315, -715?\n\"Answer: -400*t + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 5*h - 182, 5*t - 10*h + 10*h - 2*h = 208 - 52 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111010101 (base 2) in base 13?\nAnswer: -5152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 1060*w - 17 + 1061*w.\nAnswer: w + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148716082*w**3 - 1782911*w**2 + 2*w - 2 wrt w.\nAnswer: 892296492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/14 and -101\/1245902.\nAnswer: 1245902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2390, -4777, -7164, -9551?\nAnswer: -11938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11353.2 - 10429. What is x rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*d + 16 = 47, -1 = d. Let q(i) = -i**2 - 15*i + 16. Let k be q(j). Calculate the highest common divisor of 50 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.28 (b) 1 (c) -7 (d) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, 58, -2.3, -2\/5, -15, 0, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 437481 by -99.\nAnswer: -4419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 828.\nAnswer: 25668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.10381ml in litres?\nAnswer: 0.08110381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73*a**3*t*z - 85*a**3 - 13*a**2*z + 5*a**2 - 1347*a*t*z + 4*a*t - a*z - t*z - 32*z + 125 wrt t?\nAnswer: 73*a**3*z - 1347*a*z + 4*a - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1102 by 29.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8 - 86*r - 48*r - 52*r + 172*r - 33. What is u(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 17 (b) -1\/2 (c) 49 (d) -0.06 (e) -0.19 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-162))\/(-1) + (-44)\/594?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 131*x**2 + 376*x - 968. What is o(-128)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 92*m - 2401. Let t(w) = 6*w**2 + 457*w - 12005. Let a(b) = 11*h(b) - 2*t(b). Factor a(z).\nAnswer: -(z - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2454, -2450, -2444, -2436, -2426, -2414?\nAnswer: -2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 45*z. Let i(m) = -1177373*m. Give i(y(j)).\nAnswer: -52981785*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/(-210))\/(6\/465). Which is greater: -28 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 187*g + 27. Let h be x(10). What is the third derivative of h*o**3 + 16 + o**4 + 0*o**2 + 51 - 2*o**2 - 1894*o**3 wrt o?\nAnswer: 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 15219950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 122979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 134999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**8\/504 + 2*r**7\/35 + 3*r**6\/4 + 22*r**5\/9 - 7*r**4\/3 - 32*r**3 + r**2 + 214. Solve z(o) = 0 for o.\nAnswer: -3, -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39341, -39367, -39393?\nAnswer: -39419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*o + 12. Let k = o - -10. Find the third derivative of -4*z**6 - 114*z**k + 108*z**2 - z**6 wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.6 + -7. Let w = -0.33633 - 0.06371. Let k = c - w. What is k rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 282766 and 3058?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*m = 11, -87*h + 7*m = -84*h - 55 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 31\/3, -3, 3\/5, 0.2, -230.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 2, i: 2}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -874 and -871 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -10.3944.\nAnswer: -11.3944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqff when four letters picked without replacement from fqqqchhqhf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3176411*d**5 - 1583*d**2 + 10*d + 10.\nAnswer: -190584660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5 - 2*w**4 - 34*w**3 + 106*w**2 - 112*w + 40 = 0. What is w?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let f(r) = -42*r**2 + 16*r**2 + 62 + 16*r**2 + 30*r**2 - 61. Calculate f(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3375231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.9, -23 in descending order.\nAnswer: 0.9, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 2 + 5 - (82 + -85)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 247?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, z: 9}. What is prob of sequence ttzz?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5780, -4758, -3734, -2708, -1680, -650?\n\"Answer: v**2 + 1019*v - 6800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/5)\/((-3)\/15). Let r = u - 10. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 406217405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwldhhe. What is prob of sequence lhc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o - 108. Let q be (-6 + 4)\/((-1)\/o). Let u = -73 - q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((2 - 1) + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1175 - -1178. Put j, -18, -6, 0 in ascending order.\nAnswer: -18, -6, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4\/5 + 24*n**3\/5 - 12*n**2 - 176*n\/5 + 336\/5 = 0.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 + 5 = 0. Suppose -m*w = 3 - 13. Suppose -32 = -3*i + w*j, 0 = 3*i - 4*j + 3*j - 28. What is the smallest common multiple of i and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbi. What is prob of sequence bi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17032 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14015, 28030, 42045, 56060, 70075?\nAnswer: 84090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w = -50*w + 3*s + 92160, -122885 = -4*w + 5*s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1))\/((-34)\/(-51)). Suppose a*j + 2*j - 15 = 0. List the prime factors of 119*1 - (9\/3)\/j.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 11*g - 3. Let v be r(5). Which is smaller: v or 28?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -56, -160, -340, -620, -1024, -1576, -2300?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.051 and -0.735?\nAnswer: 0.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262*y = -104*y. Put -0.5, y, 19 in decreasing order.\nAnswer: 19, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let h(y) = -y**2 + 2*y + 2. Let o(j) = -h(j) + q(j). Let g be 1*(1 + 0) - 2. Let v be o(g). Solve v = 2*s + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(14) - sqrt(56))*5)\/((-2*sqrt(35))\/sqrt(5)).\nAnswer: 5*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 0*j)*(-3 + 5 - 3)*(7 + 19*j - 66*j + 32*j).\nAnswer: 30*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34693782187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13040 and 3319495?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {z: 1, a: 1, l: 1, x: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11001*b**2*i**3 - 3*b**2*i - 17*b**2 - 4*b*i - 5*b wrt i?\nAnswer: 66006*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*a - 38 - 15 = 0, x = 2*a + 1. Solve -w = 2*h, -7*w = -h - x*w + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/6*636\/265 + 398 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -24*s**3 - 5*s**2 + 5*s. Let q(z) = -84*z**3 - 18*z**2 + 18*z. Determine 18*l(v) - 5*q(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*n + 1 = -106*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/10 (b) 0.3 (c) 0.1 (d) -31 (e) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 8*x**3 + 5*x + x**5 + (2*x**2 - x**2 + x**2)*(-x**3 + 0 + 0).\nAnswer: -x**5 + 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let f = 1.15 + b. Let o = f - 0.14999961. What is o rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 60009895*n**2 - 180059704949520*n - 1980649493254080.\nAnswer: -5*(n + 11)*(n + 6000984)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1663a6 (base 13) in base 10?\nAnswer: -556484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/15)\/b)\/b**28)\/(b**(-16\/9)*b*b**(3\/16)*b*b*b*b) assuming b is positive.\nAnswer: b**(-23143\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, x: 9, o: 2, z: 2, w: 3}. What is prob of picking 1 q and 2 z?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -796632.40190749.\nAnswer: -796632.80190749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548967?\nAnswer: 3, 1182989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1 - 6. Suppose -l*g + 102 = -348. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(720)*-3*5 + -5 + sqrt(720) + 3 + 4))**2.\nAnswer: -24192*sqrt(5) + 5080464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6*11\/(-990)*6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30510 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -207, -818, -1843, -3288, -5159, -7462, -10203?\n\"Answer: -m**3 - 201*m**2 - m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -467*b**3 + 19 + 467*b**3 - 19*b**4 wrt b.\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(-3 - 1 + 2) + 0 - 5 + 3 + 8 - 3 + 12)*(5 - 1 - 2)*(-1 + 1 + p).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88)\/sqrt(4) - sqrt(22)) + sqrt(88)*4)\/(-4*2*sqrt(1100) - sqrt(1100)).\nAnswer: -2*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 94 - 37 - 222856*z.\nAnswer: -222856*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let q(k) = 3*k + 14. Give q(s(j)).\nAnswer: -9*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.9521 and -350.943085.\nAnswer: -348.990985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -20.49 and 862.\nAnswer: 841.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87453946?\nAnswer: 2, 83, 526831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/39))**(-32)*(v**(2\/5))**(-4))**(2\/11) assuming v is positive.\nAnswer: v**(-12784\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1197 and 1029?\nAnswer: 58653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*l + 3*g**2 + 9*g*l**2*o + g*o**2 - 2*l**2*o**2 - 58*l*o**2 + 1 wrt g?\nAnswer: -2*g*l + 6*g + 9*l**2*o + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (16 + -5 - 28 - 0 - -9)) + -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/(4\/(-12)). Let u(s) = 0 - 3*s + t + 0. Is u(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/14*(-815766)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 - 5*t + 163. Let q be k(10). What is the fourth biggest value in q, -0.2, 2\/39, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 30.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -146373.\nAnswer: 41\/146373","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Solve 0 = -o - 5*n + 11, 2*o + r*n + 3 - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9 - 7. Solve 3*b + 19 = 2*v, x*b - 5*v + 30 = -0*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.5916592 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m. Let l(t) = t**2 + 6*t + 5. Let q be l(-6). Let z(d) = -d + q*d - 4*d - 2*d**2. What is z(a(i))?\nAnswer: -200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62 (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 36*v - 218. Calculate the lowest common multiple of 305 and d(8).\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*b + 6675, -13*b + 10*b = -4*p + 5345. Solve 4*r = 1360 - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -87*h**3 - h + 22*h**3 + 3*h**2 + 2*h. Let r be i(6). Let p = 222905\/16 + r. Calculate the common denominator of 65\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 90. Suppose -4*p + 5*p + 5 = x. Let g(y) = 3*y**2 + 9*y - 7. Let l(m) = 5*m**2 + 14*m - 11. Give p*l(w) + 8*g(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (154\/(-55))\/(-3 - (-178)\/60) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 11*z**2 - 13*z + 4. What is the remainder when 29 is divided by f(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183236309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16813*k - 5*k**2 - 16813*k + 2*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1095196.99.\nAnswer: 1095185.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.4199855 to 3 decimal places.\nAnswer: -20.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g - 381. Give x(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 + 5*l + l**2 + 247*l**3 - 3*l + 39 - 249*l**3 to the form d*l**3 + y*l + o + w*l**2 and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(-4*sqrt(684)*-3 + -4 + 3))**2.\nAnswer: -5040*sqrt(19) + 2462449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24214 (base 7) to base 13\nAnswer: 2b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2 - 2 - 1)*(a**3 - 3*a**3 + a**3)*(2*a - a + a).\nAnswer: -4*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -2.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-2)\/2*(-2 - -40) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-171)*9\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844217 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(170) + sqrt(170) + sqrt(170)*6*-2)\/((sqrt(110) - ((sqrt(110)*3 - sqrt(110))*-1 - sqrt(110)))\/(sqrt(176) - sqrt(176)*3)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -36, 26, 3 in descending order.\nAnswer: 26, 3, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296143319*p + 148071238*p + 0 + 0 + 148071659*p.\nAnswer: -422*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 457771 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 0*p + 0*p**4 + 0*p**2 + 3\/5*p**5 + 1 - 4\/3*p**3. What is the third derivative of u(a) wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12668 times -0.04?\nAnswer: 506.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v**2 + 9*v + 1. Suppose -12*f = -0*f - 132. Let s(a) = -8*a**2 + 3*a + 0*a + f*a**2 - 8*a**2. Let n(p) = -17*s(p) + 6*u(p). Calculate n(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 1273, -4 in ascending order.\nAnswer: -4, 2\/15, 1273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 3327 + 2283 = 0. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 12. Let c(k) = 4*k**3 + 41*k**2 + 16*k + 58. Let f be c(-10). Sort f, -1, u, 3.\nAnswer: u, f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*f + 79894, 3*k - 64*f + 65*f - 119841 = 0. Does 43 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 18720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 14. Let d be w(6). Suppose -638 = -d*s + 3*s + 3*h, 0 = 4*s + 3*h - 2477. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -6. Suppose -4*v = -4*s + b, 3 = -4*s + 2*v - 5*v. Solve 3*r + 5*o = -13, -r + o = -6 - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 8:27 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130 divided by 29?\nAnswer: -3130\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414885 is divided by 82877.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 - 7*s - 8. Let m be f(-5). Calculate the common denominator of 5\/114 and 1\/(16\/(-45)) + m.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 5*x + 36, 3*x = 3*c + 12. Let b = 18 + c. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/103100 and -151\/2430.\nAnswer: 25053300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1110000011101101 (base 2) to base 4\nAnswer: -32003231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 7370*h - 88 = 7378*h, 3*h + 46 = b for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5432.0024 to 0 decimal places.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/417 or 0.07311?\nAnswer: 1\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 7*u - 1 + 6*u + 9*u**2.\nAnswer: 9*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*r + 1 + 80*r + 87*r - 6.\nAnswer: 7*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 143*d - 145*d = 30, y = 3*d + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 + 42 = 4*u, 12 = u + 2*x. What is the remainder when u is divided by 77\/14 + (-1)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 135, 306, 547, 858, 1239, 1690?\n\"Answer: 35*n**2 - 4*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*p**4 - 197*p wrt p.\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 11*f - 5. Suppose 0 = -2*c + v + v + 26, v = -c + 3. What are the prime factors of o(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {p: 1, x: 2, m: 1, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115159071 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041263 to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 138*u - 9180 = 8*u - 3702 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8238, -6272, -4292, -2292, -266, 1792, 3888, 6028?\nAnswer: 8218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7436)\/(-4563))\/(34\/(-2295)).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. What is the third derivative of -2*c**2 - 2*c**6 - 5*c**5 + l*c**5 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 7*j**4\/12 + 7*j + 21. Suppose 4*z - 10 = 6. Let h(g) = -g**2 - z*g - g + 5*g. What is o(h(q))?\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 15 = -3*b - 5*t, 0 = -5*b - t - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/3314, 0.1, -2\/3, -8\/17, -18 in increasing order.\nAnswer: -18, -2\/3, -8\/17, -9\/3314, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p - 115. Determine w(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765272753.\nAnswer: 7, 47, 2326057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -14*h + 1396. Let f(q) = -25*q + 2793. What is 4*f(g) - 7*w(g)?\nAnswer: -2*g + 1400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 5) to base 7\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**4 - 240*t**3 + 57*t**2 - 163795*t + 2 wrt t?\nAnswer: -36*t**2 - 1440*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 - 7*w - 9. Let r be k(-7). Let d = 85 + -103. Let l = r - d. What is the least common multiple of l and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**4 + 4*f**4 + f**4)*(5*f - 7*f + 2 + 0*f).\nAnswer: -2*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*v + 10780 - 12596 = -5792 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 4472?\nAnswer: 35776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 2, g: 1, i: 3, o: 3}. What is prob of picking 1 i, 1 o, 1 w, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f. Let x(o) = -o**2 - o - 1. Let y = 10 + -4. Let k(g) = -7*g**2 - 6. Let c(m) = y*x(m) - k(m). Give 5*c(h) - 6*l(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18231744 is divided by 748.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 120 + 30. What is the smallest common multiple of 315\/210*(7 + -1) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -0.0013, -3.\nAnswer: -7, -4, -3, -0.0013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10529*g**2*s**3 + g**2*s + 42*g + 2*s**2 + 3*s wrt s?\nAnswer: 63174*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -430 in increasing order.\nAnswer: -430, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -53*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25927 is divided by 110.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(180) + sqrt(180) + (sqrt(180)*-2)**2 + sqrt(180) + 5.\nAnswer: 18*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -41806*z + 83616. Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3522*u + 77488. Determine r(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 113 - 1 = 0. Suppose 17 = -4*b - 5*s - 50, 0 = -2*b + 3*s - 17. Let k = m + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15. Suppose c = 2*g - 2*t - 0*t, 2*t - 25 = -3*g. Solve -5*v - g*l + 15 = -10*l, -5*l = -2*v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198107080 and 16035.\nAnswer: 5345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -59 - 21. Suppose -k = 2*h - 64, 0 = 2*k - 6*k - h + 256. What is the greatest common factor of k and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 11*i**2 + 12*i + 5. Let q be y(10). Suppose -22*z + q*z = 0. Which is the closest to 0.3? (a) z (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/12 - (-10)\/(-4)) + 2*-11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3253, -3344, -3437, -3532?\n\"Answer: -g**2 - 88*g - 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/10)\/((-2)\/(-1)). Let h = r + -2. Is -2 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = o + 15*o. Let r(g) = -2*g - 10*g + 14*g - o*g. Let z(d) = d - 4. Let c(n) = n - 5. Let j(a) = -4*c(a) + 5*z(a). Calculate r(j(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8708925 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -70640171 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 57282829932.8?\nAnswer: -57282829959.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {k: 10, n: 4, d: 1, b: 2, c: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 98717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 28. Find the third derivative of j*s**2 - 13*s + 94*s**3 + 55*s - 10*s - 22*s wrt s.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 631, 1, 9 in ascending order.\nAnswer: -208, 1, 9, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-2)\/(-15)*-471)\/((-12)\/(14400\/8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/133 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123.36 + -122. Let i = -1.36 + v. Let g be (4\/6)\/(20\/(-30)). Which is the second biggest value? (a) 4 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*t - 5*y = 84*t - 3997, -t = -y - 1319. Calculate the remainder when t is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 + 1)*(-6 + 6 - 2*s) + 3*s - 2*s + 2*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23078\/(-154) + 20 - -40) + (-2)\/14.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*(2 + 0)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(117))\/sqrt(9)*-4)**2.\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*10\/(-50) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -204, -976, -2272, -4086, -6412, -9244?\n\"Answer: z**3 - 268*z**2 + 25*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 5*t - 10. Let p(u) = 2*u**3 + 12*u**2 + 7*u + 15. Let d(k) = 5*p(k) + 8*r(k). Determine d(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74*261\nAnswer: -19314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 1, n: 3, x: 4}. What is prob of picking 2 f and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 667*c - 2 - 717*c.\nAnswer: -50*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 2. Let y(o) = -2*o + 6. Suppose 4*r + 12 = 8*r. Suppose 0 = r*q + 2*q - 40. Determine q*d(m) + 3*y(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16069*o**3 - 4061 + 16070*o**3 + 29*o**5 - 2*o**2 + 485*o**4 + 85*o**5 - 484*o**4 wrt o.\nAnswer: 6840*o**2 + 24*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -2.4. Let i = 0.15 - g. Let m = i - -1.9. Which is the second smallest value? (a) m (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s - 124. Let v be 1887\/357 - -2*(-1)\/7. What is the remainder when l(24) is divided by (v\/15 - 1)*-27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128991990*v**2 - 35092335*v.\nAnswer: -257983980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgggpgtlgtlpggggpp. Give prob of sequence ppt.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 7204*x**2 + 6*x**3 + 32*x**3.\nAnswer: 8*x**3 + 7204*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0 - 34*g**2 + 1\/60*g**5 - 1\/4*g**4 + 0*g - 2\/3*g**3. Calculate h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*i + 136 = 301*i + 4*o, 0 = 2*i - 5*o - 91. What is the remainder when i is divided by (2 - 6\/9)*9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-55) - 92\/5. Let f = x + 30. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93157 is divided by 1527?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -107 (base 12) to base 11\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) - (-30)\/9. Find the third derivative of d + 1 + 2*l**3 - 2*l**2 - 4 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7 - -0.3. Let t = -0.7 - -1. What is the closest to 5 in t, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = w + 8, 4*w = -x - x + 10. Let j be (-4 + (-58)\/(-8))*w. Calculate the greatest common divisor of j and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4001 = -2*x, -x - 4*p + 8012 = -5*x. Let l be x\/(-26) - (-10)\/65. Let w = -46 + l. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00688129 to four decimal places.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d = 5*d + 99 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 16*i + 2*a - 6 = 0, 8*a + 13 = -5*i + 15*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 110, 63, -2, -91, -210, -365?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 - 2*t + 4. Let j(y) = -3*y**2 - y + 2. Determine -7*j(o) + 4*z(o).\nAnswer: o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1131 - 0.8869. Which is the nearest to 10? (a) -4 (b) l (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -170. Calculate the least common multiple of 2 and f.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 23*f - 42. Let b be 8 - -1 - ((-120)\/5)\/(-6). What are the prime factors of k(b)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.82461ml?\nAnswer: 0.07682461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/9348767 or 0?\nAnswer: 10\/9348767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 22*u**5\/3 + 1324*u**4\/3 + 15794*u**3\/3 - 101452*u**2\/3 + 38824*u + 8208 = 0.\nAnswer: -38, -27, -2\/11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37682858?\nAnswer: 2, 3557, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15 = -h. Let z be (-2 - -3)\/(h\/(-75)). Let t be (5\/(-3))\/(7\/(-42)). Calculate the highest common factor of z and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 323*t**2 + 109*t + 96. Calculate g(-108).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 5}. What is prob of picking 4 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48753827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5106*q = -5092*q - 252 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*n + 207*n - 57 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -61*m + 1432. What is k(20)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (-28 - -51) + (14 - 24) + 1 + -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (547*l - 2301*l - 264*l)*(-2 + 2 + 2)*(4 + 1 - 10*l - 5).\nAnswer: 40360*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3 = -6*r. What is the highest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1767*c - 1369431. Determine w(-775).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*i, i + 10 = 4*p - 0*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z + 58. Let s(p) = -7*p - 26. Let w(o) = 4*h(o) + 9*s(o). Let n be (2\/(-2))\/(2\/10). Give w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -29, -2\/91, -36, 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 4, 2, 1\/2 in descending order.\nAnswer: 4, 2, 1\/2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*j - 70295, 31*q + 5*j = 32*q - 70268. What are the prime factors of q?\nAnswer: 70313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1973249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -61474.4491 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12059.96 + 12060. What is the second biggest value in 4, 0, z, 0.4, -25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3 + 9429*j**2 - 35*j - 14012098 wrt j?\nAnswer: -6*j**2 + 18858*j - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**11)\/t)\/(t\/(t*t*t*t**(-10\/3))))\/((t\/(t**(2\/5)\/t)*t)\/t**28) assuming t is positive.\nAnswer: t**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1095 = -6*z - 1023. Let g = 637 + z. Is g a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 30 = -4*u. Suppose 4*g + 6*j - 5*j = 49, 0 = g + 4*j - u. Solve -5 = 4*p + g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -0.02. Let u = p + -0.08. Let x = u - -0.07. Which is the closest to x? (a) 1 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -13. Let s(h) = h**3 - 12*h**2 + 8. What is the smallest common multiple of r and s(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 267004374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8704653 rounded to the nearest ten thousand?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -86. Solve -5*d - 4*h - 20 = 0, -a*d + 25 = d - 5*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6*b + 28. Suppose 2*i + b = -x - 18, 0 = -2*i - 4. Let s = x + 42. Calculate the highest common divisor of s and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/36)\/(((-2)\/(-90))\/(26\/65)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-1 - -10) + (11 - 2) + 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -139. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19867571.\nAnswer: 1301, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 + 206 - 30*y**3.\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*h**6*m**3 - 8575*h**6 + 7272*h**2*m**3 - 2*h*m + m**3 + m wrt h.\nAnswer: 3960*h**3*m**3 - 1029000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 - 178.69100648?\nAnswer: -176.59100648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 1, 1\/3, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3048 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 6*k**2 - k - 4. Give g(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68285257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4\/9 (b) -3\/5 (c) 82 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -45*c + 91 - 43 - 13. Let k(p) = -22*p + 17. Let j(h) = 5*k(h) - 2*l(h). Differentiate j(o) with respect to o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**6\/1620 + k**5\/135 + k**4\/27 + k**3\/6 + 7*k. Let l(o) be the second derivative of p(o). Factor l(q).\nAnswer: 2*(q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29549 and 11365.\nAnswer: 147745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + -0.03. Suppose -2*y + 2 = -0. Sort b, 2\/15, y in descending order.\nAnswer: y, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 10. Suppose -55*i + 69*i = 98. What is s(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/2 - 26*r**3\/15 + 6*r**2\/5 + 74. Factor g(s).\nAnswer: 2*s*(s - 2)*(5*s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3683 (b) -2\/9 (c) 0.4 (d) 0 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65238347?\nAnswer: 65238347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 12. Let k be u(-2). Suppose m - 28 = -4*y - 2*m, 5*y - 36 = -k*m. What is the lowest common multiple of 9 and 3*7*(y - (-48)\/(-21))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 - -16 - (0 + -2). List the prime factors of 45\/x*4\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.993 - 0.007. Let n be (-2)\/(-3) - 2\/(-24). What is the smallest value in 1\/3, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3447 (base 8) to base 3\nAnswer: 2111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115267812 - 0?\nAnswer: 115267812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12861664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*m**4 + 224*i*m**2 - i*m - 233494*i - 352*m**3 wrt m?\nAnswer: -24*i*m**2 + 448*i - 2112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -13 + 6 + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g - 123*g + 20160 = 0. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 21267 = -1311*u + 34*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11567 + 11053 = 15*s. What is the remainder when s is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 458 - 458.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -4, 20, 128?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3637\/2916 + -2\/729. Let x = i - -37\/20. Let p = 38 + -38.5. Put 0.1, x, p in descending order.\nAnswer: x, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4978070282 to the nearest integer?\nAnswer: 70555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 8*s**2 - 9*s - 3 wrt s?\nAnswer: 6*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0*r**2 + 0*r**2)*(-160 + 45*r + 160 + (-1 + 4 - 4)*(-2*r - 3 + 3) - r + 3*r - 3*r)*(-9 + 14 + 12).\nAnswer: -1564*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**6\/30 + p**4\/12 + p**2\/2 + p. Let d(f) = -8*f**4 - 2*f**3 - 8*f**2 - 7. Let w(i) = 2*d(i) + 14*n(i). Factor w(m).\nAnswer: -2*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123416007.\nAnswer: 3, 11, 13, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = t - 21, -4*g = 2*t + 3*t - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8 - (-195 + 200).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose r = -5*n + 20 + 20. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70087521, -140175042, -210262563, -280350084, -350437605, -420525126?\n\"Answer: -70087521*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4+-0.19791\nAnswer: 3.80209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -115*x - 1716. What is b(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 - c**2 + 9*c**2 + 6*c**2. Let p(f) = -5*f**2. Calculate i(p(m)).\nAnswer: 300*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -62. Let a = -230 + i. Is 4 a factor of 2\/(-5) + a\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*u - 2 = -11, -4*u = 3*t - 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652496, -1304960, -1957424, -2609888, -3262352, -3914816?\nAnswer: -4567280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60571\/8 - -7562. Is -10 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2564 + -1.2804. Which is the second biggest value? (a) -5 (b) -1 (c) -2\/9 (d) 3 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*s - 55*s - 42 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m**2 + 13*m**2 - 12*m**2 to u + g*m + j*m**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 71*y**2 + 2*y + 30. Let s(d) = -141*d**2 - 5*d - 59. Let w(k) = -4*s(k) - 7*x(k). Is w(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**48\/((s*s**(-6))\/s*s**(-2\/25)\/s*s) assuming s is positive.\nAnswer: s**(-148\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-c + 0 + 0) + (-6 + 2 + 2)*(6*c + c - 2*c) - 48*c + 51*c + 70*c to m*c + v and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 7, 49, 141, 301, 547?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2*320\/(-120). Solve d + o = 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**3*u**5 - 6*f**3*u**2 + 2921*f**3 + 7001*u**6 wrt u?\nAnswer: 300*f**3*u**2 + 840120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22822, -45646, -68470, -91294, -114118, -136942?\nAnswer: -159766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896116 = 5*g - 3*g. Let u = 674178 + g. Let j = -3880 - u. What is j rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/(-12)*2. Calculate the common denominator of v + (-69)\/54 - 0 and 526\/72 + (-15)\/60.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/4 + 10*i**3\/3 - 4*i**2 - 15*i - 7. Let l be a(-10). Calculate the highest common divisor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-194*z + 194*z + 6*z**3)*(9 + 13 - 2*z - 13) to h*z**2 + b + i*z**4 + c*z**3 + t*z and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*n - 7 = 0, -4*r - r + n = -25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1956542140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 378080 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 12\/25 of a millennium?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - l + 75 = 0, 4*z - 136 = 2*l - 46. Let w be -3 + (11 - 4 - 1). Suppose -w*r - 3*r + z = 0. Solve 0 = r*h + 7 - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799534.3 centuries in decades?\nAnswer: 7995343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83900, 83897, 83892, 83885, 83876?\n\"Answer: -k**2 + 83901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + 12. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) -5 (d) -4\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -5, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 14 + 30 - 17. Let y(n) = 4*n + 6. What is 5*j(t) + y(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1120*v + 1. Let g(x) = 14*x + 21. Determine g(j(a)).\nAnswer: -15680*a + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -38.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12 + 23 = 2*k, -5*k - 3*d + 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {b: 1, w: 1, q: 1, j: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:20 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.777 minus 9983739?\nAnswer: -9983602.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 + 8 = 0. Suppose 4 = -2*h, -u = 2*u - 5*h - 217. Suppose u*z = 70*z. Solve z = 3*m - c + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 2641*l**3 - 2*l**2 - 3886*l?\nAnswer: 240*l**3 + 15846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 + 1 = 1. Let w(j) be the second derivative of 0*j**4 + 0 - 1\/2*j**5 - u*j - 9*j**2 + 0*j**3. Find the first derivative of w(q) wrt q.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 1 + 7. Let f be (-7)\/n*2*1. List the prime factors of 2\/f - (-33)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 53 - 8 = 0. Let u be (-30)\/(-25)*4*30\/72. Let f(h) = 17*h + 1. Let v(q) be the third derivative of -q**4\/6 + q**2. Calculate o*v(s) + u*f(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + ((-105)\/(-20) - 3\/(-4)). Which is the third biggest value? (a) d (b) -14.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15117 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**4 - r**3 + r**2 - 1. Let s(y) = -22*y**4 - 14*y**3 + 14*y**2 - 12. Let i(g) = 2*s(g) - 28*x(g). What is the first derivative of i(o) wrt o?\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -33, -6.\nAnswer: -33, -7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 48 + 48)*(-2*b + 1 - 1) + 2*b**2 + 1 - 1 - 7*b**2 - b**2 + b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -692, -560, -376, -140, 148, 488?\n\"Answer: 26*z**2 + 54*z - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9 - 11 + 40*g - 18 + 14 + 2*g**2. Let f be c(-21). Suppose -4 = j - f. Round j to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -77. What is the remainder when f is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27172 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6797 + 26.6177. Let q = 0.062 + d. Let x = 26.0068 - q. Round x to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**4 + a**3 + a**2 - a. Let k(p) = -272*p**4 + 3*p**3 + 13*p**2 - 2*p. Let c(l) = -3*j(l) + k(l). Find the third derivative of c(g) wrt g.\nAnswer: -6384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39399 and 6992.\nAnswer: 11977296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105.89 + -0.11. Let u = x + 104. Are u and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 6*c + 3. Let w(x) = -x**3 + 3*x**2 - 7*x + 3. Let v(i) = 3*m(i) - 2*w(i). Suppose -4 = b - 3*b. Calculate v(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2520 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -13 + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = -3*b. Suppose 4*j = -j + b. Let f(y) = -j*y + 4*y - 4*y**2. Let z(i) = i**2. What is f(z(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 - 3*n**4\/8 + 7*n**3\/6 + 9*n**2. Calculate p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-16)\/m)\/(m*m\/m**(-7)))\/(m**(-4))**11)**(7\/2) assuming m is positive.\nAnswer: m**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36 * 33726\nAnswer: -1214136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-886 + 886 + 1442*y)*(y**3 - 4*y**3 + 2*y + 2*y**3).\nAnswer: -1442*y**4 + 2884*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpmmmmmm. Give prob of picking 1 m and 1 p.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, -614, -4?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*u - 4*u - 11 = 0, -2*u - 10 = 0. Solve k + r = -2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 267592.\nAnswer: -51\/267592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*t = 373*t - 0 + 320. Let i(k) = 6*k + 126. Determine i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*o + 93*o + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2.63, -3 in ascending order.\nAnswer: -4, -3, -2.63, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*k**3 - 523*k**3 + 174*k**3 + 114*k**3 + 107*k**3 - 2.\nAnswer: -10*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -64. What is the nearest to -3 in 5, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2111 = 4*m, -4*m + 7*n - 9*n = -2114. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 128022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.017, -142\/61, 1\/11?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 + 3*k**2 + 10*k. Let b(h) = 23*h**3 - 8*h**2 - 29*h. Calculate -3*b(f) - 8*t(f).\nAnswer: -5*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 4)*(0 + 1). Let b be (-139)\/(-5) + z\/(-5). Let r = b + -16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 118?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*m + 6, 5*m + o - 4 = 17. Solve -15 = 5*t, -m*t - 4 = -7*f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283627756.613 - -283794926. Let a = d + -167267.3869906. Let g = a - -98. What is g rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -30 - 42. Suppose w = -w + z. Suppose 2*i + 6 = 0, -1 = 5*c + 4*i - w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2. Let l(i) = -55719*i**2. Calculate p(l(v)).\nAnswer: -9313820883*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 0 + 67*z + 6 + 69*z - 138*z to x*z + n + r*z**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -16*g + 1. Let q = -32 + 26. Let v be -2 - (-45)\/20 - q\/8. Calculate a(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9592 and 47355.\nAnswer: 41293560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:49 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 1. Let s(z) = -17*z**2 - z - 1. Give -f(m) + s(m).\nAnswer: -18*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2 + 90450656*o - 1022665146353792 = 0 for o.\nAnswer: 22612664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.093 (b) 11465 (c) 2\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 27 = 108 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50242316951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -6\/13, 1, -2\/19, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times -0.058?\nAnswer: 0.00203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)*12\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 11*y**2 - 14. Let m be i(8). Let g = -50 + m. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740 = -89*b - 262 + 590. What is the least common multiple of 14 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -313*a - 29. Let t be l(-3). Suppose 4*m - 14*m + t = 0. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p - 11. Let d(s) = s. Give q(d(x)).\nAnswer: -13*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 1, f: 2, c: 1, d: 1, w: 1}. What is prob of sequence wdc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -35*d + 26. Let n(o) = o**2 + 12*o - 3. Let g be n(-12). Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -8*v**2 - 17*v - 32. Let r be h(15). Let w = r - -1318. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-750)\/500*(-2)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 5, n: 2, u: 2, k: 2}. What is prob of picking 2 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.01766 to two dps.\nAnswer: 56.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244846620?\nAnswer: 2, 3, 5, 1360259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.211792 millilitres in litres?\nAnswer: 0.006211792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 1. Suppose 6*i - 338 = -140. Let p be (-258)\/i + (-10)\/55. Give c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -140, -207, -258, -287, -288, -255?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 370?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/3 - g**3\/3 - 2*g**2 - 13*g. Let f(n) = n**2 + n + 1. Give -2*f(z) - o(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izzi when four letters picked without replacement from {i: 10, z: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -0.055, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6105 + 6099.202. Let v = 0.002 - m. Let t = -0.8 + v. Which is the third biggest value? (a) -1\/6 (b) t (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 81*i**3 - 84*i**2.\nAnswer: 3*i**2*(i - 28)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -42. Calculate the highest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -9*b**2\/2 + 48. Let q(g) = -10*g. What is 4*o(p) - 3*q(p)?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 467818 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, -2\/17, 3, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -411*j**3 + 5114*j**2 + 25*j - 5. Let q(c) = -206*c**3 + 2558*c**2 + 10*c - 2. Let b(g) = 2*d(g) - 5*q(g). Find the third derivative of b(y) wrt y.\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*x - 55, 4*c = 2*x + 73 + 9. Calculate the smallest common multiple of c and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 325.7647 to 0 decimal places.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 2048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010010 (base 2) to base 10.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**3 - 2 - 22*u**3 + 13*u**3 + 2 + 27*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1871*d*o**3 - 2*d*o**2 - 212*o**3 - 2*o with respect to d.\nAnswer: 1871*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184 is divided by 98?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -35532355?\nAnswer: -35532350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/36)\/((-17)\/(-153))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z + 2*z - 2*z)*(3*z + 18*z + 5*z).\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 8. Let h be 2\/j + (-56)\/6. What are the prime factors of (-6)\/(-9)*-1*h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1118 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 - n - 45. Let w be l(0). Let x = w + 58. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 245, 563, 1009, 1583?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -982725*f*u**2 - 5724*f*u + 8*f + 2 wrt u?\nAnswer: -1965450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + 340\/(-90). Let d(c) = -c + 3. Let r(l) = 4. Let i(p) = o*d(p) + 3*r(p). Let g(a) be the second derivative of -a**3\/6 + a. Calculate i(g(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33110103221 (base 4) to base 11.\nAnswer: -22a2867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 62514.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*s**4 - 2 + (0 + 2 + 1)*(8*s**4 - 4*s**4 + s**4).\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -311131\/492594 + 1\/25926. What is the nearest to -0.133 in x, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146482, 146425, 146368, 146311, 146254?\nAnswer: 146197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 8, w: 4, p: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2953776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Suppose 0 = 5041*k - 5047*k + 84. Let a(q) be the third derivative of 0 - k*q**2 + 0*q**3 - 11\/24*q**4 + 0*q. Give a(z(t)).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -709090 minus 18524.47?\nAnswer: -727614.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k, 0*t - 4*k + 12 = 2*t. Let v = 13 - t. Put v, -3\/2, 2 in descending order.\nAnswer: 2, -3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(258\/87 + -3). Suppose -39 = -4*a + 3*x, 5*a - 37 - m = -2*x. Solve 3*p = -0*p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -633 - -637. Let a = 23 + -23.09. Sort s, 0.1, a, 1\/4.\nAnswer: a, 0.1, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 0 + 0)*(4 - c - 4)*(-1341 - 2052 - 1783 - 598 + 1192) in the form k*c + u + i*c**2 and give i.\nAnswer: -13746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -27517.347 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -299200 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 144630077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -612917\/75?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a factor of 56706642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from kkkkkkkkkklkkkkkkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -38*f + 6. Let c be k(-1). Suppose c*a + 6 = 47*a + 2*t, -4*t = 2*a - 12. Let u be 8\/(-9) + 0 + 1. Which is greater: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*q - 31, -5*q = -2*a - 2*a - 8. Solve -3 = -2*x + a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y. Let t(z) = 10*z + 4. Determine l(t(k)).\nAnswer: -80*k - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629751 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/1621957 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3\/9 + 332*l**2\/9 + 2240*l\/3 - 784 = 0 for l.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1621*z + 1619*z + 4*k + 130016, 2*z = 3*k + 130019. What are the prime factors of z?\nAnswer: 2, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*b**2 - 4*b**2 - b**2)*(270 + b - 271 - 3*b - 5*b**3).\nAnswer: -205*b**5 - 82*b**3 - 41*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 24362590.\nAnswer: -121812950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)*h*h\/(h**(4\/9)*h)*h*h\/h**16*h**(2\/7) assuming h is positive.\nAnswer: h**(-871\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 982, 3382, 8054, 15754?\nAnswer: 27238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 114*j - 52*j - 20832 = 48*j for j.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 - 8*i. What is l(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = -23*n + 48*n + 196 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 5*w, 0 = -3*l - 0 + 6. Let j = -192 + 192.2. Which is the nearest to -1? (a) w (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(16) + sqrt(16) + sqrt(64)\/sqrt(16))\/(sqrt(8) + -5*sqrt(40)\/sqrt(5)) + -4.\nAnswer: -4 - 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 2*y + 8. Let a be s(0). Suppose -m + a = -3. Suppose n + m = 31. Calculate the least common multiple of n and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 + 1 + -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 25. Let m(u) = -3*u**2 + 119*u - 384. Let h(d) = 3*b(d) - m(d). Differentiate h(i) wrt i.\nAnswer: 6*i - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 721497000 to the nearest one million.\nAnswer: 721000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l**(-1\/4)\/l*l)\/l)\/l))**(-11\/5)\/(l**(-8)\/l**(2\/13)) assuming l is positive.\nAnswer: l**(261\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8429728.22 rounded to the nearest ten thousand?\nAnswer: 8430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from nnnyvny?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 67. What is the third derivative of 115*h**6 - g*h**2 + 3*h**2 - 84*h**6 wrt h?\nAnswer: 3720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208554 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/32, 28\/3015, 2, 0.2?\nAnswer: 28\/3015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 596174 greater than 596168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 - 33 = 7*a. Which is greater: a or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (14 - 9 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0599*-2.3\nAnswer: 0.13777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {y: 3, r: 2, a: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 36. Suppose -2*d = -p - 4*p - 24, 3*d + 4*p + 10 = 0. Which is the nearest to s? (a) -2\/7 (b) -12 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*s + 50 = 111*s. Suppose 4*q + 15 = 9*q. Suppose -4*r + 40 = -q*b, 2*b + 3*b + 52 = 3*r. Is s at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/469622 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -127. Suppose -d + 40 - f = m, -2*d - 84 = -3*m. Does 28 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.27537, -24.52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -3\/4, -0.33, -2 in descending order.\nAnswer: 0.05, -0.33, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 7*y**2 - 50*y**2 + 0*y + 40*y**2 + 0*y.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 362 - 170 = 2*d - 380 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7787 - -14030. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from txytqmuy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180538499?\nAnswer: 180538499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350\/229 + 91297\/45800. Calculate the common denominator of p and -151\/900.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + 7 + 3 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.638 times -153.1?\nAnswer: 250.7778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31131690.\nAnswer: 2, 3, 5, 19, 54617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3 - 9. Calculate the lowest common multiple of (13\/(-2))\/((-2)\/d) and 11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71148 - 2.\nAnswer: -71150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.002 - -12.502. Put -1\/4, f, -2\/7, 0 in decreasing order.\nAnswer: f, 0, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263 - -263. Solve 2*q - 5*q + 3 = n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*(-68)\/(-85)*25\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 + 1892*p**4 - 116826*p**3 - 2493820*p**2 - 2375104*p = 0. Calculate p.\nAnswer: -1003, -16, -1, 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:44 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -110*z - 1. Let p(d) = -101*d + 7. Let g(s) = 72*s - 5. Let w(q) = 7*g(q) + 5*p(q). What is w(u(l))?\nAnswer: 110*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1139, 2198, 3243, 4274?\n\"Answer: -7*a**2 + 1080*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*1\/(4\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 125. Suppose 4*z - t*z + 2*z = 0. Solve 3*u - 10 + 7 = z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 + -135. Suppose y = 3*s + 2023, 5*s - 6*s + 4032 = q*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 21, 66, 129, 210, 309, 426?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3197.55 - 3198.249996. Let r = k + 0.7. What is r rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/12 - o + 1. Let q(k) be the first derivative of z(k). Let u(a) = -2*a**2. Let f = -63 + 64. Calculate f*u(y) + 4*q(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4360*g**3*m**2 - 75*g**3*m - g*m - 4*m**2 + 594 wrt m?\nAnswer: 8720*g**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 2, q: 2, a: 2, z: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onplapanolzalan. Give prob of picking 1 n and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - -6*sqrt(45)\/sqrt(3))\/(sqrt(75)*2))**2.\nAnswer: 49\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1957*k**2 - 54*k + 299. Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17874 not equal to 17911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27b703 - 5?\nAnswer: -27b708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 399923 divided by -1\nAnswer: -399923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12*o = -1288. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.183027 rounded to three dps?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -85.9921047+-91\nAnswer: -176.9921047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 81*u = -77*u + 126, -24*i - 17 = -5*u - 196 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**5\/5 + 5*z**4\/3 + 2*z**3 - 18*z**2 - 2*z + 27. Let o(a) be the first derivative of q(a). Suppose o(y) = 0. What is y?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63187 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-50) + -9 + (-153580)\/(-50) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 10*n + 6 = 0. Let g = -2 - -6. Is (g + 341)*1\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, x: 3}. What is prob of sequence xk?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43442914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*i - 5 + 5 + 213*i.\nAnswer: 368*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 1277903.\nAnswer: 1277903.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 4, s: 1, e: 6}. Give prob of picking 2 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -1235*h**3\/6 - 291*h**2\/2 - 225*h + 1. What is the first derivative of n(i) wrt i?\nAnswer: -1235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 177480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46.454 - 0.754. Let q = -130 + 74. Let t = a + q. Round t to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29787 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 40 + (-7 - -1) + 15 + -13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -25404111508.\nAnswer: -25404111513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {t: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + (-11 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 28. Let r be w(15). Let g(c) = 4*c**3 + 4*c**2 - c + 6. Let v(p) = 2*p**3 + 2*p**2 + 3. Let j(l) = -3*g(l) + 5*v(l). What is j(r)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 5. Calculate the remainder when 60 is divided by o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 2331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -129*g + 9*g + 653. Suppose -5*y + 1 - 21 = 0. Let p(w) = w + 4. Let f be p(y). Sort g, f, 1 in descending order.\nAnswer: g, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 3319830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -0.509\nAnswer: 0.03563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4275233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 20*v + 21. Let i be y(19). Solve -i*s = -3*u + 8, -5*u + 3 = -s - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2. Let x = 3 + v. Let h = -59585 - -59629. Calculate the smallest common multiple of x and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 8:48 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 2, m: 2, o: 2, r: 3, a: 1}. Give prob of picking 2 m, 1 d, and 1 q.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 2*l - 30. Calculate the remainder when c(-7) is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v**4 + 6*v**4 - 17*v**4)*(-113 + 9*v + 113).\nAnswer: -279*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 10. Let v be 2*3\/6*5. Calculate the highest common divisor of f and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 0.02, 0.34, -4\/5.\nAnswer: -4\/5, 0.02, 0.34, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3\/f)**(-1\/25)\/(f**(3\/7))**(-28\/3))**(32\/5) assuming f is positive.\nAnswer: f**(3136\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 291\/19?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 3*s. Let z be p(3). What is the greatest common factor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100404 (base 5) to base 16.\nAnswer: c9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.3, 4, -5.\nAnswer: -19, -5, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m = -2*v + 62*m + 72, -2*v - 8*m + 79 + 17 = 2*v for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 480673464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*p**3 - 3\/2*p**2 + 1\/2*p**5 + 0 + 1\/3*p - 11\/6*p**4 = 0. What is p?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 5, 3\/7, 35\/2, 0.3, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7705 = i - 7693, 3*q = i + 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {j: 10, z: 7, n: 1}.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 33*k + 4. Suppose -4*y + 38 = -2*y. Is d(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8169492 and 4836?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*i - 138, c + c - 5*i = 98. Let a = 0 + c. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 21\/136 in increasing order.\nAnswer: -1\/4, 21\/136, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54c + -17?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2247 divided by 2247?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93866 - 62398 = -112*i - 1300*i - 120*i for i.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/(v\/(v\/(v*v**(2\/11)))*v*v)*v)\/v*v*v*v*v**(-1\/3))\/((v\/(v\/v**(1\/8)))\/(v**2*v)) assuming v is positive.\nAnswer: v**(1415\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 284237.55ns?\nAnswer: 0.000000078954875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 3. Let s(u) = -u**3 - 11*u**2 - 18*u - 8. Let j be s(-9). Let y be j - (-6)\/2 - (-3 - 1). Give p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5521925921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at most -52228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -686.1 times 3?\nAnswer: -2058.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**3*n)\/n)\/n)\/n**(-3)*((n**(3\/2)*n)\/n)\/((((n\/(n*n**(-3)\/n))\/n)\/n)\/n)*((n\/(n\/(n*n**(1\/2)\/n)))**28)**(-6) assuming n is positive.\nAnswer: n**(-165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41\/6 of a week?\nAnswer: 68880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412 + -404. Let i(d) = d**2 - 8*d - 7. Calculate i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34692 and 10878?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218928\/7 + 31520. Let u = 245 - i. Which is the closest to 1\/2? (a) -5 (b) 1\/25 (c) -2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60805, -60803, -60801, -60799, -60797, -60795?\nAnswer: -60793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -99*l**4\/4 - l**3\/6 + 3816*l**2. Let i(v) = 5*v. What is i(m(g))?\nAnswer: -2970*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*(-12)\/(-8)*3. Does 14 divide 903\/7 + (5 - c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12328 by -4.\nAnswer: -3082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-413)\/28)*(-65 - (-9)\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 14*v**2 + 31 + 55 - 101 + 35 in the form d*v**2 + k*v + g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*z + 4022 = 3977 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2826*a - 2798*a + 3*a**3 + 5624*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 24. Let d be k(0). What is the common denominator of (-9)\/48*1*2500\/45 and 2\/d*618\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2. Let q(y) = -15*y + 21. Let d(u) = 3*u - 4. Let c(r) = -21*d(r) - 4*q(r). Calculate m(c(f)).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 19*s - 2. Let v be z(-19). Let w(m) = m**2 - 2*m - 3. What is the remainder when 3 - 66\/3*v is divided by w(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 - 3*w. Let v(d) = 6*d**2 + 4*d. Let y(g) = -g**2 + 5*g - 2. Let o be y(4). Suppose -o*f = -5*f - 9. Let r(t) = f*v(t) - 4*p(t). What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24899422500 rounded to the nearest one million?\nAnswer: 24899000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-34)\/51)\/((-4)\/30). Factor 3*o**l + 12*o**3 + 6*o**2 + 0*o**4 - 2 + o - 16*o**3 + 0*o**4 - 4*o**4.\nAnswer: (o - 1)**3*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*z - 1. Let q be -2 + z\/(15\/42). Suppose -3*j - q = -6*j. What is the lowest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -533*s - 2. Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 11.700071028\nAnswer: 11.300071028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 - 289. Let k = g + 140. Which is smaller: -1\/41 or k?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 130141729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -1\/2*m**3 + 0 + 0*m**2 - 3*m. Let z(a) = 2*a - 26. Let b be z(12). Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 49 = 16*r. Suppose -r*d + 5*s = -4*d, -4*d = -s - 9. Let q(m) = -2*m**2 + 2*m. Determine q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 5. Let f(r) = 5*r + 6. Let b(x) = x - 4. Let g be b(9). Let i = 170 - 176. Give g*f(m) + i*v(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36714, 71955, 107196, 142437, 177678?\n\"Answer: 35241*m + 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -44. Calculate the greatest common factor of x and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(r*r*r*r\/(r\/(r**(-3\/7)\/r))*r*r)*r*r**(3\/7)\/r*r\/((r**(5\/4)\/r)\/r))\/((r**0\/r)**(-12)\/(r**(2\/7))**(-13\/3)) assuming r is positive.\nAnswer: r**(-1313\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2261 >= 0.055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 65*w**2 + 2 - 2 + 0.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*l + 578 - 2827, -451 = -z - l. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1007091900 to the nearest 1000000.\nAnswer: -1007000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4230379ns to hours.\nAnswer: 0.00000000000233973275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(468) + 1))**2*-6.\nAnswer: -50652 - 1296*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (0 - (-2)\/2). Let w be (-10)\/6*h\/12. Let a = -0.5 - -0.8. What is the nearest to 1\/4 in a, -4, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12799659 and 948?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*w**2\/6 - 323*w\/3 - 260 = 0. What is w?\nAnswer: -30\/13, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 60481156*s + 60481156*s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -13, 54, 15, 0, -2\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 8*i - 155. Let f be r(8). Let m(c) = 4*c + 32 + c**2 - f - 11*c. Give m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 37*p - 1. Let i(f) = 36*f - 1. What is -5*h(b) + 4*i(b)?\nAnswer: -41*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g**3 - 195*g**3 + 65*g**3 + 66*g**3 - 3*g + 8*g - 13.\nAnswer: 37*g**3 + 5*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - 1) + (-7 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/260)\/((-2)\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10130 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 + -4?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18752, -18763, -18788, -18833, -18904, -19007, -19148?\n\"Answer: -j**3 - j**2 - j - 18749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-40)\/32 - 226*(-121)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 * -0.03\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 52. Let j(c) = c**3 + 8*c**2 + 13*c + 6. Let d be j(a). Solve d = -y - 4*y + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1033414 and 2922?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*z - 5 = 0, -4*v + 3 = 5*z + 9. Is (249 - (v + 0)) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**3 - 21*j**3 + 7*j**3)*(-287*j - 119*j + 188*j) to the form m*j + g*j**4 + y*j**2 + k + i*j**3 and give g.\nAnswer: 3924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((3474\/4)\/9)\/(5\/20).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p + 46. What are the prime factors of r(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 78840 = 5*r, -r = -3*r. Let i = x - 16135865\/614. Find the common denominator of i and -137\/12.\nAnswer: 3684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 3502938.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = -4*m + 65, -28 = -2*b - 2*m. Let v(c) = c - 6. Let g be v(b). Let w(k) = 4*k**2 - 2*k + 3 + 4*k + 0*k + k**g. What is w(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30661*o**5 + 112*o**2 + 2*o + 23.\nAnswer: -1839660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212480 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -35. Is 1 - q - (-4)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**4 + 47913*r**3 - 63760224*r**2 - 21258732*r.\nAnswer: -3*r*(r - 2662)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 3\/987290683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 57*f - 511. Let p be b(8). What is the highest common factor of p and 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 - 7*c**3 - 23*c**3.\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 0*x**2 - x**2)*(-3 - 1 + 12) + 0*x**2 + x**2 + x**2 + (0*x - 3*x + 4*x)*(3*x - x + 0*x) to m + r*x + k*x**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 13*i**2 + 5*i + 6. Suppose -4*g - 5*x - 48 = 0, -x = -0*g + 5*g + 60. List the prime factors of b(g).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 30, 40, 54, 72, 94?\n\"Answer: 2*l**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 30 = -2*w, -5*w + 91*b = 93*b - 2*b - b - 75 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, -2.4, 0.9, -0.3, -0.2, -18?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446419*m**2 + 446432*m**2 - 1785712*m**2 + 446426*m**2 + 446433*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 4*u**2 + 2*u + 37. Let n be k(-7). Suppose -5*g + n = -3. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) + sqrt(192)*-2))*-2)\/(sqrt(384)*1 - sqrt(384) - sqrt(6))*-5)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24624 divided by 12\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - (144\/1260)\/((-3)\/28). Let f(i) be the third derivative of 10*i**2 + 1\/30*i**6 + v*i**3 + 0 + 1\/2*i**4 + 1\/5*i**5 + 0*i. Factor f(h).\nAnswer: 4*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 805*d**2 + 4 - 4 + 725*d**2 - 53*d**2 in the form u + h*d**2 + i*d and give h.\nAnswer: 1477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 48*j**3 + 224*j**2.\nAnswer: -2*j**2*(j - 4)*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6*y - y**2 - 6*y + 11 in the form h*y**2 + z*y + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1697 = -8*u + 6321. What is the second derivative of 12*m - 578 - 2*m**2 + u wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by 21\nAnswer: -370\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -465*t**3 + 4*t**2 - t - 10. Let y be l(-2). Let o = y + 1133. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -10325\/683?\nAnswer: -10325\/683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*j)*(j + 4 - 4) - 2*j**2 + j**2 + 3*j**2 + 2*j**2 - 2*j**2 - 2*j**2 + 11*j**2 + 3*j**2 - j**2 + (-3 + 1 + 1)*(-j**2 + 2 - 2).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 8*f**3 - 8*f**3)*(4 - 2 - 9) + f - f + f**4 + (-f**3 + 0*f**3 + 0*f**3)*(2*f - 3*f + 2*f) - 1 + 1 - f**4.\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**2 + 4*i**2 + 8*i**2 + 8*i**2 + 0*i**2 + 2*i**2 + (5*i**2 + 0*i**2 - 4*i**2)*(-1 - 2 + 4) in the form n + h*i + m*i**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79604 is divided by 683?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 83*d - 580 - 742 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 2, -5 in ascending order.\nAnswer: -15, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1795.76 - 1611. Let h = -173.411 + i. Let r = 0.049 - h. Round r to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -1446, -38, -1 in increasing order.\nAnswer: -1446, -38, -1, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -37, 2, 67, 164, 299, 478?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 28*o + 99. Let m be c(-4). Suppose 0 = -i - 5*z + 75 + 24, z + 313 = m*i. Calculate the greatest common factor of 364 and i.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-21 + 18 + 19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14)*-7*5. Solve 0*g + g + p = 4*h, g = -h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-21)\/s*s*s**(-5\/3))\/(s*s**(-1\/20))**42 assuming s is positive.\nAnswer: s**(-1847\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18730*f**5 + 720*f**4 - 43614112*f**2 wrt f.\nAnswer: 1123800*f**2 + 17280*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1642560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*y = -0*y - 48, -570*p - 277 = -582*p + 4*y - 101 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/18*2 - (-287)\/41\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:14 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 697*v. Let t(k) = 6*k**2. Determine a(t(m)).\nAnswer: 72*m**4 - 4182*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g**3 + 4*g**2 - 3 + 3*g**3 - 2*g**3 + 1 - 4*g. What is the tens digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14931, -15230, -15531, -15834?\n\"Answer: -v**2 - 296*v - 14634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 34206 = 5739. Let k = 725 + v. Calculate the remainder when 4\/18 - k\/(-63) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 5913885 - 6766851 = 0. Suppose 45*i = -3*i + u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -36159481?\nAnswer: -36159481.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -4*a - 2*a. Suppose -5*o + a = -2*m, -4*o + 35 = 2*m - 3*m. Let w = 67 + m. Solve -g + 4*k = -19, 2*g + 5*k + 43 - w = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 11*l = 65. Let t(w) = w + 1. Let p be t(5). Suppose 2*h + h - p = 0. What is the remainder when l is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2139*o - 428*o - 16594*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13812175*t**2 - 15958911*t wrt t.\nAnswer: -27624350","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -63. Suppose 2*d - 3 = -v. Solve d = 2*w + 1 - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 32*j - 36*j - 40 = 0, -34 = 4*p + j. Let f be p\/6 + 10\/12. Which is the fourth smallest value? (a) -5 (b) -13 (c) f (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5124 + 9040. What is the remainder when s is divided by 1302?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-144))\/(2\/((-24)\/(-3)))*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-26) - 10\/(-4). Suppose 4*x - 940 = z*m, -4*x + 5*m + 218 = -3*x. Let g = -163 + x. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -13*l**2. Let j(f) be the third derivative of f**4\/3 - 2*f**2 - 10*f. What is g(j(h))?\nAnswer: -832*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**2 - 25*w - 23*w - 14*w + 32*w**2 + 63*w.\nAnswer: 10*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9908264*z**3 - 19816544*z**3 + 9908283*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 2, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 2*s - 4*s)*(-1 + 2 + 1) - 7*s + 4*s + 2*s + 8.\nAnswer: 3*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 3. Let w be 1 - 4\/(12\/c). Let l be -1 + (w - 2)\/2. Solve 2*s - s = l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6495, 1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6, -3*p + 7 = -4*p - 3*g. Suppose 4*x = 4*z - 676, -2*x = p*z - z - 172. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3)*5\/(-2). Suppose d*c = c. Suppose -5*k + h + 31 = 2*h, c = -2*h - 8. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h - 6. Let u(d) = 8*d + 3. Let z(o) = 34*o + 15. Let w(l) = 9*u(l) - 2*z(l). Let j be (-270)\/(-60)*((-2)\/3 + 0). Calculate j*r(m) + 5*w(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1280)\/112 - -11) + 234\/7. Calculate the highest common divisor of 143 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193169 - -16801273.\nAnswer: 16994442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/439355 and 92\/564885?\nAnswer: 3954195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -20, -30, -38?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -1)\/(2\/(-3)). Let j = -63.9 - -57. Let k = j - -7.3. Which is the nearest to -2? (a) -3 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -5, 0, 3 in decreasing order.\nAnswer: 7, 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/97464 and -75\/4.\nAnswer: 97464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17779369 a multiple of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)\/(b**(-16)\/b) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22829594?\nAnswer: 2, 313, 36469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*j + 15 = 0, -2*j + 4 = -0*j. Suppose o = 2*m - 3. Let h(a) = -a**2 + 10*a - 7. Let y be h(9). Solve -c + y = 0, -m*c - 1 = 3*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*t = t + 20, 12 = 3*t. Suppose 2*k - 5*j = 1412 + 403, f*k = 3*j + 1805. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/7))**(-48)*(((z*z\/(z\/z**(1\/26)))\/z*z)\/z)**1 assuming z is positive.\nAnswer: z**(-9977\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m. Suppose 8 = 5*d - 17, c = -d. Let q = c - -7. Let r(b) = -b + q*b + 0*b. Give a(r(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2*k + 2*k**2 + 6*k + 2*k.\nAnswer: 2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4\/4 - 405*u**3\/2 - 45675*u**2\/4 + 315375*u.\nAnswer: -3*u*(u - 20)*(u + 145)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3 + 0*x**2 + 3*x + 3*x**2 - 6*x**2. Suppose 0 = -5*d - 2*y - 8, 13 = -20*d + 15*d + 3*y. Determine m(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 46, 2, 1, 9 in descending order.\nAnswer: 46, 9, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 331.8, 3, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**2 - 2*z + 35. What is the units digit of w(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (1 + 4 + -8)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 5, -4\/5, -2, 0.2, 2\/91?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 0*k = -12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 120*x**3 + 412*x**2 + 152*x + 16. Let u(j) = -41*j**3 - 137*j**2 - 51*j - 6. Let d(i) = 3*t(i) + 8*u(i). Let d(q) = 0. What is q?\nAnswer: -4, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h + 2. Let q be n(9). What is the highest common factor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Let v = 3 + -6. Which is the third smallest value? (a) 4\/3 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-189)\/441).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/224 and -61\/36.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 8. Let v(s) = -7*s. Determine o(v(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:29 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46324?\nAnswer: 2, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, 1, 2.2, 0.03, 0, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1353 * 6\nAnswer: 8118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.052, 4\/5.\nAnswer: -2, 4\/5, 1.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**8)\/(i*i**(-3)) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265096910.\nAnswer: 2, 5, 13, 349, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 2 + 2)*(6 + 8*g + 2 - 7*g) + (-2*g + 4*g - g)*(1 - 2*g - 1) as t + z*g + x*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 - 11*v - 11. Let b be (-16)\/24 + (-10)\/3. Let t(d) = -3*d**2 + 4*d + 4. Calculate b*r(j) - 11*t(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (4 - 3) - -26. Suppose -5*s + u = 4*t - 2*t, -s + 10 = -4*t. What is the third derivative of 9*p**2 - s*p**2 - 5*p**3 + 3*p**3 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Let k be t\/(-5) - 196\/(-5). What is the highest common factor of k and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1400 divided by -4.\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - sqrt(153)*1)\/sqrt(9) + (4*sqrt(34))\/sqrt(2).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -148*g - 25. Let x be w(2). Let a = x + 682. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26768170 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h. Let i(p) = -28*p**2 - 6*p. Let k(r) = -15*r**2 - 3*r. Let o(t) = -6*i(t) + 11*k(t). Give o(c(z)).\nAnswer: 27*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxx when three letters picked without replacement from {u: 1, l: 3, s: 5, x: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*k - 2, -3*w - 7*k + 2*k + 4 = 0. Let y(o) = 897*o**2 - o**3 + 1 + 909*o**2 + 894*o**2 + 3*o - 2700*o**2. Give y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/45 + -16\/45. Suppose 2*b + 8 - 4 = 0. Let v = 0.5 - 1. What is the third smallest value in v, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.07486 rounded to 2 dps?\nAnswer: 18.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(22 + -23)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j - 129 + 2*j + 2*j)*(j - 4*j + j + 1) to p*j + k*j**2 + h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 37. Let t = -0.111 + 0.121. What is the second smallest value in t, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -200172*f**3 + 1987671 wrt f.\nAnswer: -600516*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 3960, 2, 8, -2\/13, -23.\nAnswer: -23, -2\/13, 0.17, 2, 8, 3960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -547.21 - -542. Round n to one decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1450*a**2 - 1587*a + 7. Let f(r) = -483*r**2 - 529*r + 2. Let w(s) = -7*f(s) + 2*p(s). Find the second derivative of w(b) wrt b.\nAnswer: 962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = 6. Let o(n) = -35*n + 248. Let j be o(7). Calculate the common denominator of 75\/8 and (j\/39)\/(r\/(-82)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5366\/(-12) + (-4)\/(-6). Let d be 2422\/5 + 18\/(-45). Let r = d + n. Find the common denominator of r and 58\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1735 and 44763?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92788*f**3 + 123692 wrt f.\nAnswer: 278364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390.4 + 390.6. Put h, -0.1, 0.07, -2\/11, 0.1 in decreasing order.\nAnswer: h, 0.1, 0.07, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10806*c + 50. Let h(n) = 16*n**2. Give m(h(z)).\nAnswer: -172896*z**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24484463479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 - -116) + 0 + 4 + (-12 - -2) - 98.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 - -2.2. What is the second smallest value in -4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i = -5*n + 40*i + 30, -n + 6 = 2*i for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, 68, 283, 608, 1043, 1588?\n\"Answer: 55*c**2 - 60*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = -0. Suppose g = f + 2. Put -2, 5, f in decreasing order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100321\/9 + 11147. What is the nearest to t in -0.9, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 217981189 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-35))\/(((-6)\/(-2))\/(-3))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.98 + -0.98. Let d = 1708.2 - 1708. Which is the third smallest value? (a) f (b) 0.8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 + 117*z\/2 - 57.\nAnswer: -3*(z - 38)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1490*j - 850 = -1660*j. Let b = 0 + 3. Sort -8\/7, b, j, -0.4 in descending order.\nAnswer: j, b, -0.4, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162772*c**3*w**3 + 4239*c**3*w - 7*c**3 + 2*w**3 - 16*w + 2 wrt w.\nAnswer: 976632*c**3*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -345, -1\/3, 1.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3107, -4362, -5621, -6884?\n\"Answer: -2*v**2 - 1249*v - 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 5 - 4*f**2 + 3*f + 6*f - 2*f. Let z be w(-8). Factor 3*o**3 - 6*o**z - 15*o**2 - o**3 - o**2.\nAnswer: -4*o**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = 4*n - 2*n - 4*a, 4*n - 2*a - 1248 = 0. Let y be n\/1820*10\/4. What is the second smallest value in y, -13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 540*s + 537 = 0. What is s?\nAnswer: -179, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose -u*x + 22 = f, -23*f = -2*x - 19*f + 22. Let w(b) = 9*b - 4. Determine w(x).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 70 + 36 + 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*v - 7*v, v + 2*i = -3. Let x(y) = -7*y + 2*y - 2*y - 3 - v*y**2 - 2*y**3 + 5*y. Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t. Let o be v(-3). Suppose i = 2*y + 20 - o, y + 22 = 3*i. Suppose -i*q + 20 = -q. Solve 2*u - 13 = -3*m, -2*m + 20 = -q*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 8, -1, 390 in descending order.\nAnswer: 390, 8, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 264724696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 870\/(9*(-11)\/(-990))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 24*l**3 + l**2 - l + 6. Let n be u(-2). Sort -4, 1, n in increasing order.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 1 - (-56 - (-57 - 4)) - 57.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -0.08, -2\/3, -10 in ascending order.\nAnswer: -10, -5, -2\/3, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 526 + 1966. What is the tens digit of 8\/(-20) + -3 + d\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 33 - 17)*(-4*w + 3*w + 0*w).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 1. Let m be t(-4). Let o be (-2 + 2)\/1 + 9. Let v(n) = n**2 - 11*n + 18. Let f be v(o). Solve 5*x = w, x + m = -f*x + 2*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 e when four letters picked without replacement from {q: 3, l: 2, t: 3, e: 3, o: 8}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**18\/d*d)\/(d**(-16)\/d))**41 assuming d is positive.\nAnswer: d**1435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 9) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/(-174))\/(-16 + 15)*3*-4*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1693\/308 + 107\/44. What is the common denominator of w and 53\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.995 - 0.005. Let j = 141 + -32.2. Let i = -109 + j. What is the second biggest value in 5\/3, i, -5\/4, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 122*n. Let l(g) = -2016571*g**2. Give z(l(x)).\nAnswer: -246021662*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 3, h: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932757120.\nAnswer: 2, 3, 5, 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-14)*(-152432)\/16332.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 752 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 1690\/91) + 5\/(-1050)*-64?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**10\/10080 + c**9\/3024 + c**8\/4032 - c**7\/504 - c**5\/5 + 13*c**2. Let p(d) be the third derivative of n(d). Factor p(z).\nAnswer: -5*z*(z - 1)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 11 + 0*s**2 - 10\/3*s**3 + 5\/4*s**4 + 0*s + s**5. Factor j(p).\nAnswer: 5*p**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -178, -216, -254, -292?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1746*l**3 + 3*l**2 - 1612*l**3 - 3*l**2.\nAnswer: 134*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487094, 1948284, 4383600, 7793042?\nAnswer: 12176610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0215413 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (4064\/(-762))\/(2*(-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:45 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 375 and 6870.\nAnswer: 171750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 73. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 172, 259, 382, 547?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooc when four letters picked without replacement from cococccccocccc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b + 2. Let u(q) = 4*q + 7 + 16*q - 1. Let m be 245\/21 + 168\/(-252). Give m*g(o) - 4*u(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 344.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 60*f - 23. Let a be v(-61). What is the nearest to -1 in 5, 2, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1285, -1292, -1303, -1318, -1337?\n\"Answer: -2*z**2 - z - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -9*u + 36, -5*w - 6*u = -46*u + 38*u - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201.371 * 0.2.\nAnswer: 40.2742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0133884502 to 4 decimal places.\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k = -7*k - 16, 6 = -3*u + 3*k. Let f be 6*-1 + 224\/40. Is f greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-9))\/((k**(6\/5)*k*k)\/k))**(-1\/29))**(-11) assuming k is positive.\nAnswer: k**(429\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*g + 13 = 0, 77 = 5*j + 2*g + 99 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/120 + b**5\/12 - b**3\/2 - b**2. Suppose 4*h + 2*n - n + 20 = 0, -3*h - 15 = -n. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q + 12 - 60 = 0. What is the remainder when 78 is divided by -12 + 17 - 2*q*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -794079 - 3?\nAnswer: -794081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 28 = -3*q, 2*q + 3*q + 5*f = -30. Let a be (-5)\/3 + 2\/(-6). Let r = q - a. Sort -5, -3, r.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 6*m**2 + 2*m**2 - 3*m**2 + m**2 + 4*m**2 + (-5*m + 3*m + 0*m)*(-2*m + 3*m - 3*m) + (-4*m + 2*m - m)*(-10 - 12 + 0)*(-2*m + 4*m - m).\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 3 - 3 - 2*g - 3*g wrt g?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 18*i**2 - 5*i + 62. Calculate the remainder when 117 is divided by v(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 62, 297, 724, 1337, 2130, 3097?\n\"Answer: -i**3 + 102*i**2 - 64*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33507.\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*u + 24 = 0, 4*k + 0 = 4*u + 12. What is the highest common factor of 54 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - -1) + -1)*(-13 - -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 2*f**3 - 1091 + 1111 - 2*f to q + h*f**2 + m*f + g*f**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2738372139?\nAnswer: 3, 43, 47, 150551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2049645 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260) + (sqrt(260)*2 + sqrt(260))*-2 + sqrt(260) + sqrt(260) - sqrt(260)) + sqrt(260))\/(6*(sqrt(5) + sqrt(20)\/sqrt(4)))*2.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*f = -2*i - 9, -5*f = 4*i + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 167540 (base 13) to base 12\nAnswer: 22b55b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -66, -92, -128, -174, -230, -296?\n\"Answer: -5*w**2 - w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443199*j + 2886408*j + 3 - 3 - 1443186*j.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-21 + -10 - -10) + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64934691?\nAnswer: 3, 571, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(-3 + -2*(sqrt(76) + 0) + sqrt(76) + -1 + ((sqrt(76) + 2 - sqrt(76)) + -4 - (sqrt(76) + (sqrt(76) + 2)*2))))**2.\nAnswer: 4000*sqrt(19) + 32900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*f + 138*f - 3*c = -3618, -4*f + 4*c = -14408. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:31 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:52 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) -30 (c) 2 (d) -3\/2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 325*q**2 + 2 - 326*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -71605113?\nAnswer: 71605111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69375 and 1295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/36063 and 29\/291.\nAnswer: 3498111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24*(0 - -2)\/(-4). Factor 9*g**2 - 3*g**3 - 1 - t + 1.\nAnswer: -3*(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (11 + -28) - -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*d - 50 = 0, 3*n - 4*d - 148 = -2*n. Calculate the remainder when ((-1323)\/6)\/9*-2 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2464744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 6*r**2 + r + 7. Let a be 46\/(-8) - (-1)\/(-4). Let g be f(a). Let q = -25 - -27. Calculate the greatest common factor of q and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2166227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4442, 4453, 4464, 4475, 4486?\nAnswer: 4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-25)\/b))\/b*b\/(b*b*b\/(b\/b**26)) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-112)\/(-49)*1 - (0 + 2). Which is the nearest to -1\/2? (a) g (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10af93 - -1?\nAnswer: 10af94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 1328350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t = 10. Suppose -4*c + 27 = t*g - 3, 0 = 3*g - c - 10. Find the first derivative of -3*m**4 - 6 + 3 + g wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -931 + 923. What are the prime factors of (-600)\/(-480) + (-10438)\/u?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*3\/(-27))\/((-322)\/2760*-10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -927 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 8*l. Let u be 2*l\/(-32)*-12. Suppose -u*x = -16 + 4. Solve 5*o + 25 = -c, -4*o + 3*c - 24 = -x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/18 + 79*y**3\/18 + 20*y**2\/3 - 149*y - 43. Let x(s) be the first derivative of a(s). Factor x(c).\nAnswer: -(c - 40)*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 5 - m + m. Let z be (-6 - 1) + (-3 - (1 - 4)). What is b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 16 = 2*d, -n - 1 = 5*d - 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/19 - 11560*t\/19 + 16704200\/19 = 0. What is t?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4 - 6*u - 2 + 10*u - 5*u - 4*u**2. Let d be k(-2). Is 3 a factor of (-54)\/d*(-10)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 9. Let n be l(8). Let m(s) be the second derivative of 0 + s + 1\/2*s**2 + 0*s**3 + 2\/3*s**4. What is m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12159.3 at most -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267173*-0.5.\nAnswer: 133586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*k + 4 + 7, -2*k + 11 = 5*u. Is u\/((-2)\/62*-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + r**2 - 8*r**2 + r + 1 + 0*r**2 to i*r**2 + y*r + h and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274116?\nAnswer: 2, 3, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:03 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559086243?\nAnswer: 3, 37, 317, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 24, 1 in ascending order.\nAnswer: -29, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72077561 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 29*k**3 - 96*k**2 - 94*k**2 + 190*k**2 + 5*k**2.\nAnswer: 29*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/(-2))*3. Let n(d) = 4*d + 7. What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 4438?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1244 + 25191*r + 1244 to the form x + t*r and give t.\nAnswer: 25191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 5*j + 3*j + j. Let z(a) be the first derivative of -a**4\/24 - a**2 - 1. Let y(k) be the second derivative of z(k). Give y(r(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*g + 12 = -0*u, 5*u + 5*g - 20 = 0. Let i(p) = 3 - 13 + 6*p - 3*p. Calculate the lowest common multiple of i(u) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-6 - -9) - (-1 + -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -52, -0.1, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*b**4 - b + 6 wrt b.\nAnswer: 5184*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - o = -2, 5*t + o + 3*o - 13 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubw when four letters picked without replacement from {q: 4, u: 2, n: 8, i: 3, w: 2, b: 1}.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 3*r)*(25 + 14 - 27) + (-2 + 3 + 3)*(-4*r + 2*r + 3*r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*m - 88*m = 0. Which is bigger: m or 2\/13537?\nAnswer: 2\/13537","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1985964206 - 1407364206. What is b rounded to the nearest 1000000?\nAnswer: 579000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 264 in increasing order.\nAnswer: -32, -3, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 8*p + 32. Let v be (-4 + -1)*(-1)\/10*p. Find the third derivative of 29*f**v + 9*f**4 - 2*f**4 + 15*f**4 wrt f.\nAnswer: 528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 544*v**2 + v - 15. What is the units digit of k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/8 - w**3\/3 + 2*w**2. Suppose 2*x - 12 = 6*x. Determine k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-618)\/(-1545)*(-3)\/9. What is the closest to -201 in 1\/2, x, 0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Solve 4*w - v - 7 = 0, -4*w = 2*v - t + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 72. What is the greatest common factor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382.4857 rounded to the nearest ten?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25368.\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 76*r = 7*r + 2732394. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 4\/2389479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97484*g*r + 489*g + 46 wrt r.\nAnswer: -97484*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 12*u**2 + u + 3. Let y be c(12). Solve 5 = -2*m - x, -9*x + 7*x + y = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 7 - 12 + 33 - 11 as q + r*k and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 9 - -8 - 4) + 6 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 453116901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -1. Let y = 6.4 + -7. Let t = -0.4 - y. Sort n, -0.3, t.\nAnswer: -0.3, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 6:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 55*y**4\/24 - 1418*y**2. Let q(p) = 61*p. Calculate w(q(s)).\nAnswer: 3355*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n - 2*n**2)*((7 + 3*n - 7)*(1 - 3 + 4) + 4 - n - 4) in the form p*n + f*n**2 + s + i*n**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1668)\/(-8)*(-4)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81054\/1264 + 31\/434 + 67\/(-56)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12*2 - -28. Suppose -4*t - 7*r = -2*r - 36, -2*r = 2*t - 18. What is the highest common divisor of t and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554923.\nAnswer: 43, 36161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 0*d + 2*d)*(2*d - 2*d + 4*d) + 2*d**2 - 3*d**2 + 2*d**2 + (-d + 0*d - d)*(1 - 2*d - 1) to f + z*d + y*d**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 610074?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 17751?\nAnswer: -17753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from 8460730.89.\nAnswer: 8460710.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (186\/4)\/((-6)\/(-8)). What is the units digit of (-2)\/5 - c\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415348651 a multiple of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 650862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 22*x + 3*r - 13480, -2679 = -x - 4*r. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 407.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weeweuwwweweeweeewew. Give prob of picking 3 w and 1 u.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22)\/143 - (-5208)\/52 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -419, -459, -539, -671, -867?\nAnswer: -1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -48\/5*j**5 - 32\/5*j**2 - 106\/5*j**3 + 0 - 124\/5*j**4 - 2\/5*j = 0?\nAnswer: -1, -1\/2, -1\/12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156683 is divided by 2274.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 9. Let y(q) = -4*q + 5. Determine -2*n(o) - 5*y(o).\nAnswer: 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 109522 = 5*o, -87614 = -257*o + 253*o - 2*q. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 48*d + 57*d - 96*d + 14*d**3 - 6. Is c(4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngghdn. Give prob of picking 2 n and 1 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 579267 (base 10) in base 7?\nAnswer: 4631553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 - 12*m + 8. Give y(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63326761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/2231 + 4928\/519823. Let p = -14498686 + 6756385109\/466. Let n = p + l. Which is smaller: -7 or n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4849*z**3 - 2*z**2 + 2*z**2 - 4870*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 14 in descending order.\nAnswer: 14, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -105*z**4 + 59*z**2 - 43*z. Differentiate w(h) with respect to h.\nAnswer: -2520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-570*k + 570*k - 44*k**2 - 2 + 2 - 2*k**2 + (3 + k - 3)*(-2 - k + 2))*(-k - k + 4*k).\nAnswer: -94*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 404 + -403. Let s = 5.4 - 5. Sort -0.4, u, s in increasing order.\nAnswer: -0.4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + 1.99. Let p = 7.7 + -8. Suppose 0 = -y - 2*s + 3, -y + 3 = -5*s + 14. Put y, p, g in descending order.\nAnswer: g, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 + -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39.33463 millilitres?\nAnswer: 0.03933463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-4)\/9*-9. Suppose -3*j + 2*s + 10 = 0, 3*j - 4*s + s = q. Put j, -5, -1 in ascending order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*r**2 - 345*r**3 + 152*r**3 + 13 - 2*r - 13 + 189*r**2 wrt r?\nAnswer: -1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let i(s) be the first derivative of -1561*s**2\/2 + 3872. What is i(c(z))?\nAnswer: 1561*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = h - 36, -4*y - 15 = -9*y. Are h and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 21*i**2 + 3*i - 15. Let q be g(-5). Let m(t) = 3*t**2 + 4*t - 1. What is the remainder when m(3) is divided by q\/60 + 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvevvveeve. What is prob of sequence vve?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 12 = -18*b. Suppose -5*p - 6 = -3*s - 21, 0 = -4*p + b*s + 4. Do p and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 16. Let m be t(-5). Is (23 + 3)\/(m\/(-58)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 439\/4. Let k = t - -19\/20. Which is smaller: k or 1.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 7*g - 50. What is the remainder when 97 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*f**3 - 279*f**3 + 846*f**3 - 284*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 1875493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 7*l**2 - 9. Let m be n(7). Does 28 divide 131\/(-2)*-14 + m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.168 + 0.068. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063395731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 15*h. Let k(x) = -9*x**2 + 31*x. Let b(i) = -5*g(i) - 2*k(i). Let c(y) = 2743*y + 0 - 2745*y + 0. What is b(c(t))?\nAnswer: -8*t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/448 + f**7\/40 + 13*f**6\/160 + f**5\/80 - 7*f**4\/16 - f**3 + 791*f**2. Let w(d) = 0. What is d?\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 587*c**2 + 3*c + 3. Let v(u) = 1762*u**2 + 8*u + 9. Let w(r) = -17*f(r) + 6*v(r). Let x be w(1). Suppose -6*t - 95 = -x. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (21 - (14 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) -1\/5 (c) -0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from dbcrdlbccc.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 19*r + 18 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (20\/(-50))\/((-1)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3380253*s**2 + 6760210*s**2 - 3379958*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i. Let z(q) = 30*q + 16625. Calculate g(z(v)).\nAnswer: 180*v + 99750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5976, 1850, -2276, -6402, -10528, -14654?\n\"Answer: -4126*w + 10102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**3 + 2*z**2 - 1. Let c be x(-1). Let d be c\/70*110\/(-44). What is the nearest to -1\/5 in -0.05, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, m: 7, y: 2}. Give prob of picking 2 y and 1 m.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 5)*(1 - 2*f**5 - 1)*(17 - 31 - 16).\nAnswer: -240*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*-1*2\/(-4). Let n = -83 - -78. Is n bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:22 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:15 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -39. Sort 1, f, 0.3 in decreasing order.\nAnswer: 1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -11 + 7. Suppose 5*v - 4 = 4*v. Suppose -2 - v = -r*w. Sort 7, 5, w in ascending order.\nAnswer: w, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -470\/11, 0.3, -0.5 in ascending order.\nAnswer: -470\/11, -0.5, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7\/m)\/m)\/((m*m**(-5\/2)\/m)\/m)*(m**0)**(-2\/147) assuming m is positive.\nAnswer: m**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) -3 (b) 3 (c) -0.4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 910149802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -781 - -790. Solve 0 = -6*n + 15 + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = g - x - 0*x, 0 = 4*g - 5*x - 376. What is the remainder when g is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrm when four letters picked without replacement from rmsrrrrsrrrrsrr?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 5*f + 5*h, -3*f - 4*h + 6405 = 6497 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 22 + 13 - 29.\nAnswer: -j - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 + 2.1. What is the third smallest value in t, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 31*b = 8, 0 = -2*f - 5*b + 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-245)\/77 + 4\/22)\/1. Calculate the remainder when 70 is divided by 27 + n + (-2)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-15) + (-96)\/120. Let x be (35\/(-20))\/(-1) - j. What is the nearest to -2\/7 in 1\/4, 72, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 87 = 11. Suppose -w + 19 = -4*h, -3*h + 8*h + 5*w + 55 = 0. What are the prime factors of (q\/h)\/((-2)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + -5.8. Do 0.1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 889 - 482*b + 57*b - 889 as w + l*b and give l.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2940407 rounded to 2 decimal places?\nAnswer: -5.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, a: 16}. What is prob of picking 1 a and 3 r?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19222959*d**3 - 653*d**2 - 7861.\nAnswer: -115337754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = -3*w. List the prime factors of -24*w\/(-1 + 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 9668045*a + 415735180.\nAnswer: -5*(a - 43)*(a + 1933652)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-273)\/(-70) - 7\/(-70)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 5\/6*d**3 + 1\/4*d**4 - d + 0*d**2 + 0. What is the second derivative of u(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -67. Sort 3, g, -3, -1 in ascending order.\nAnswer: g, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1371 = -5*w - 3*z, w + 0*z = 3*z + 285. Is (-1)\/3 + w\/18 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 42381057 in increasing order.\nAnswer: -4, -2, 42381057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 - -191. What is the tens digit of (-14334)\/(-66) + (6\/(-33))\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 3. Let m = b + 14. Suppose 4*q - 2*h - 118 = 0, m*q + 8*h = 3*h + 111. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - (-9)\/42. Let y = 34 + -4. Let l = y + -33. Which is the closest to r? (a) 4\/3 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5893, -5891, -5889, -5887?\nAnswer: -5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:03 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 17*z - 13. Let y be n(4). What is the third derivative of 337*q**4 + y*q**5 - 337*q**4 + 165*q**2 wrt q?\nAnswer: 2340*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 457*n + 3777. Determine j(-9).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 38 - 138 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5)*q*(q\/(q**2\/q))\/q)**22\/(((q**(-1\/3)\/q)\/q)**(-49)\/((q**(-2\/5)*q)\/(q**(-4)*q))) assuming q is positive.\nAnswer: q**(-253\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (34 - -8) - (9 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/28 + 74*m**3\/21 + 204*m**2\/7 - 6668. Find z, given that p(z) = 0.\nAnswer: -68, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 4. Let z be x(5). Is z + (2 + (-535)\/(-4))*8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 + 0*t + 0*t)*(0 + 2 + 2) + 343*t + 19*t**2 - 343*t + 2*t**2 + 2*t**2 - 5*t**2 to r + o*t + q*t**2 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 8685*z**2 - 206100*z + 925020.\nAnswer: -5*(z - 1713)*(z - 18)*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m - 4. Let t(r) = 6*r - 2. What is 7*t(l) - 3*z(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 131 = 3*b + b, b = -u + 53. Let v = -16 + u. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 24. Sort r, -0.3, 5.\nAnswer: r, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184408756 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x - 16. Let r(q) be the first derivative of -3*q**2\/2 + 8*q + 271. Determine 2*o(d) + 5*r(d).\nAnswer: -d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/3, -2\/95, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**4 - 3*p**3 + p**2 - 830*p - 3927. Let d(v) = -v**4 - v**3 + v**2 - 3*v. Let r(o) = -d(o) + q(o). What is the derivative of r(u) wrt u?\nAnswer: 8*u**3 - 6*u**2 - 827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -72, -95, -102, -87?\n\"Answer: s**3 - s**2 - 37*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:24 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26bb2 (base 12) to base 15\nAnswer: 10d08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 997516.6 years in centuries?\nAnswer: 9975.166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(45\/(-430))*(3843\/(-732))\/((-14)\/(-4))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.325 to the nearest integer.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Suppose 5*c - 3*q = 24, q + 1 = -2. Solve c*m = 4*s + 6, -2*m + m + d = -s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.9 - 15.3. What is the smallest value in c, -0.01, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/64 and 87\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7324888 by 2.\nAnswer: -3662444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 5684 = 8598 - 23235. List the prime factors of h.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:14 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/(l\/(l**(-4\/9)\/l))*l**2\/(l*(l*l**(-3))\/l)*(l*l**(-1\/9)*l**9*l*l)**(-48) assuming l is positive.\nAnswer: l**(-5131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2981.\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (636\/30)\/(107\/(34240\/(-128))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 1\/6*p**3 - 1\/2*p**2 + 0 - 6*p. Let b(h) = -7*h + 6. Let j(v) = -b(v) - 6*i(v). Let w(c) = -8*c. Determine 51*j(s) + 6*w(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 5*h + 1. Let x be d(-4). Let v(b) = -b**3 - 56*b**2 + 897*b. Let m be v(13). Sort m, x, 4, 7.\nAnswer: x, m, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 + 116*q**4 + 224*q**3 - 19456*q**2 - 2560*q + 281600 = 0. What is q?\nAnswer: -11, -4, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913955261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006092?\nAnswer: 2, 751523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 8*u - 1\/2*u**2 - 1\/20*u**5 - u**3 + 0 - 7\/12*u**4. Give g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 3*s + 7. Let f be z(4). Suppose f*p + p = 0. Suppose -4*w - 5*l + 2*l + 1021 = 0, -3*l + 9 = p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12 - 33. Let r(x) = -4 - x + 1 + z*x. What is the units digit of r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -978, -1967, -2964, -3969, -4982?\n\"Answer: -4*x**2 - 977*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -l - 9, 6564*m - 2*l - 14 = 6562*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -3 (c) 31 (d) -2.2 (e) 0.19 (f) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 10 - 21 - 27*u.\nAnswer: -27*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*o + 311, -2*o - 388 = -7*o + 4*n. Let t be (4 - o\/8)*10\/(-12). Let r(f) = f**2 - 4*f + 1. What is r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-four fifths of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + d**2 + 3*d**3 + (-1 - 2*d + 1)*(-d + d + 2*d)*(d - 7*d - 3*d) to i + p*d**3 + f*d + u*d**2 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 42 - 2*r)*(0*r + 4*r - r) + 4*r + 2*r**2 - 4*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**3\/3 + d**2\/2 + 2*d - 4. Suppose 0*l - l - 5 = k, 4*l = 5*k + 25. List the prime factors of i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1406 - 1563.4. Let d = f - -157. Which is the closest to -2\/3? (a) -0.1 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -842 - -844. Suppose 0 = -j - l*i + 1558, -5*j = -2*i - 0*i - 7790. What are the prime factors of j?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*u - 16, -52*l + 4*u + 12 = -48*l. Let c be 4\/(-10) + 115\/(-25). Put c, -4, l in descending order.\nAnswer: l, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*i**4 + 2 - 14*i**3 + 2 - 1 to j*i + p*i**3 + n + f*i**2 + l*i**4 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -387 + 135. Let r be (-306)\/y + (-3)\/2. Let i = -13 + 8. What is the nearest to 2\/3 in 0.4, i, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -9*l**5 - l**4\/12 + 934*l**3\/3 - 2302*l**2. What is the second derivative of i(z) wrt z?\nAnswer: -1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 4*p + 3. Let j be w(-4). Suppose j*b + 25215 = -3*c, 15 = -2*c - c. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (4 + -27))*(7 - (10 + (0 - 2))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-33)*(-1925)\/(-1225)*-322?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187) + sqrt(187) + sqrt(187))*3*-2*4)\/((sqrt(11) - (sqrt(11) - 5*sqrt(176))) + sqrt(11) + sqrt(99)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.67 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.388 plus -0.1?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1290*a**2 + 2. Let p(v) be the first derivative of -v**3\/3 + 16244. What is x(p(j))?\nAnswer: -1290*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/30 and ((-402)\/300)\/(-8 - -10).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-180)*-4 + 4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 378780 (base 9) to base 11\nAnswer: 147508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -4 + sqrt(180) + (2 + sqrt(20))**2 + sqrt(5).\nAnswer: 20 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/411 or -1?\nAnswer: 20\/411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-30) + 37329\/(-920)*((-64)\/(-12))\/(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69408 and 432?\nAnswer: 208224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 9. Let s be v(7). Suppose -t - 4 = 0, -4*t + 1 = -5*x + 2. Let f be -5 - -20 - (0 + x). Solve s = -4*m, -m = -5*d + m + f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25926 by 6.\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0*y**4 + 0*y**2 + 8\/15*y**6 + 44*y + 0*y**5 - 17\/2*y**3 + 0 + 1\/42*y**7. What is the second derivative of v(w) wrt w?\nAnswer: 20*w**3 + 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 38*q**3 + 4*q**2 - 4*q - 240. Find the second derivative of y(j) wrt j.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 - 18*x**2 + 8*x**2 - 19*x**2 to the form o*x + w*x**2 + y and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 386583 and 38.\nAnswer: 14690154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2795 and 260?\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/38 and -77\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 66202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78526 = 2*n + 5*w, -27087 - 12183 = -n + w. What are the prime factors of n?\nAnswer: 2, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36 (b) -3\/4 (c) -10298 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from ujhhhjuuuhhhhhuhhuh?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 0*w - 2. Suppose -v - w + 10 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 21 - 51. Let s be (-8)\/(16\/b) - -218. What is the highest common divisor of s and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1053\/10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.60051173 rounded to four decimal places?\nAnswer: 2.6005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-20 + 13)) + -4*2. Let d(q) = 3*q**3 + q**2 - 5*q + 1. Calculate d(y).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 765*p + 601. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*i + 42 - 11, -i - 9 = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -9*n + 48. Let -7*b**3 - 54*b**2 - 13*b**3 + 23*b**n + 4*b**2 - 25*b**4 = 0. What is b?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*r - 5*r - 8 = 0, -5*r = 25. Suppose -3*p = t*p - 36. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:18 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, 3\/5, -2\/3, -1.7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 523*i + 38586. Calculate x(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2273794 times 0.57\nAnswer: -0.129606258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012943 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3)*(4\/2)\/10\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11770784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.43 + -0.43. Let j be (-2 - -3) + 32\/(-2). Let y be (2\/(-3))\/((-5)\/j). Put y, 1, m in decreasing order.\nAnswer: m, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*h**5*x**2 + 13*h**3*x**2 + 7*h**3 + 2247*h**2*x - 9*h**2 + 2*x**2 wrt h.\nAnswer: 2760*h**2*x**2 + 78*x**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/42 + (-2)\/(-6). Let z = 6.1264 + -0.0264. Let p = z + -5.9. Which is the biggest value? (a) p (b) -0.1 (c) 0.4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 147 - 87. Suppose 13*s - x*s = -10. Solve 5*c = k + 7*c - s, k - 14 = -5*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*y - 6 = 2*s, -4*y - 3 = s. Let g be s - ((-20)\/3 - 5\/15). Solve -2 + g = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 50499 and 50500 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) - (sqrt(140)\/sqrt(7) + sqrt(20) + sqrt(20))))\/(sqrt(1100)\/sqrt(11)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*a**3 + 2 + 339*a**4 - a**5 - 339*a**4 + a**5 + 3*a**3 - 3*a**3 + (a**4 + 2*a - 2*a)*(a - a + 2*a).\nAnswer: 2*a**5 - 15*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 263, 395, 529, 665, 803, 943?\n\"Answer: q**2 + 127*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675 is divided by 410.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118\/3 + 116\/3*l - 2\/3*l**2.\nAnswer: -2*(l - 59)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*c = -40, -2*i - 5*c + 10 = -6. What is the remainder when ((-13)\/2)\/(1\/(-2)) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:07 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 15. Suppose 3*u = 4*u - 5. Suppose -z = -y - u*s, y = -0*y + 4*s - 8. Solve y = -b - b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4*(-2)\/(-24)*93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102112 + -2?\nAnswer: 22102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 2*z + 1. Let p be (-3)\/((-9)\/(-2))*36. Let x be (-54)\/p + 2\/(-8). Suppose 0 = 2*l - 5*v + 6, -x*l + 1 + 11 = 4*v. Calculate d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*j - 11, -2*j - j + a = 18. Let f(s) = 4639*s**2 - 6*s - 5. Let q be f(j). What is q rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from tdttddfdddfdt?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(8)\/sqrt(4) - (sqrt(242) + -1))**2.\nAnswer: -32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**19*x*x)\/x)**(-2\/61))**24)**(-18) assuming x is positive.\nAnswer: x**(17280\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30419, 23326, 16233, 9140, 2047?\nAnswer: -5046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2106)\/324*(-12)\/(-676)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.54 + -34.51. Let u = g - 25.2. Let r = u - -1.269. What is r rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3846677917249 minus -0.2?\nAnswer: -0.1846677917249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 4 + -1 - (-4 - -8). Let b(s) = -2*s**2 - 6*s - 4. Let d(u) = -4*u**2 - 11*u - 8. Let f(l) = n*d(l) + 5*b(l). What is f(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16, 2.5, -1 in decreasing order.\nAnswer: 16, 2.5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7*z - 4 = 5*z, 0 = 2*z. Let r(b) = -b**3 - 4*b**2 + 2*b. Give r(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385 - -543. Calculate the remainder when l is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 159999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/30 - 2*t**3\/15 + 7*t**2 - 1802*t. Factor g(u).\nAnswer: -2*(u - 5)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*n + 34 = 0, 4*i = -3*n - 27 - 30. What is the common denominator of -77\/8 and (-4)\/i - 2595\/(-108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4, y: 6, k: 1}. What is prob of sequence luyy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**5\/35 + 3*r**4\/14 + 3*r**3\/7 - 12*r**2\/7 + 12*r\/7 - 153. Let a(b) = 0. Calculate b.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36289*k**2 - 27660*k**2 + 197596*k**2.\nAnswer: 206225*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (29\/(-2))\/((-11)\/(-33)) and -107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35488369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3 + 1. Let p = g - -4. Suppose -p*c = 4*u - 16, -u - 3 = -4*u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -5*m**8\/336 + m**7\/6 - 3*m**6\/4 + 5*m**5\/3 - 5*m**4\/3 - 137*m**2. Factor s(y).\nAnswer: -5*y*(y - 2)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 468, 462, 452, 438, 420, 398, 372?\n\"Answer: -2*r**2 + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*x - 5814 - 42502 = 0 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmykfkpg. Give prob of sequence kp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -78.9?\nAnswer: -74.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 - 9*y**2 + 2 + 2*y**2 to k + r*y**2 + x*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0 + 8 = 5*l - l, 2283*l - 3 = 2286*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 + 0*k**3 + 4*k**3 - k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20175 and 369?\nAnswer: 2481525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 4:34 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4 - 2)\/(-21 + 25)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 10. What is the remainder when 29 is divided by x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5060 (base 7) to base 6.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -2 + 0\/1. Let h(p) = 1 - 3*p**3 - 6*p**2 + y*p + 2*p**3 + 2*p**3. List the prime factors of h(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 51 + 40 - 5*c + 30 + 5*c - 11*c. Calculate j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 130*d**2 - 6*d + 5. Let s(t) = 5*t + 22. Let g be s(-4). Does 9 divide r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22528 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s + 96. Suppose 0 = -2*o + 94 - 14. Suppose 4*b + s = 5*j, -2*j = 2*j + 4*b - o. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from ckcckck.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 980971585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 - 69. Calculate the remainder when k is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15329710*k**2 + 8354756 wrt k?\nAnswer: -30659420*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -30305?\nAnswer: -30313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5)*v)**(2\/149)*(v*v**(-2\/9))\/v*(v\/((v\/(v\/(v**4\/v)))\/v))\/v)\/((v*v**(-2\/11))\/v**(-3))**(7\/4) assuming v is positive.\nAnswer: v**(-1308683\/147510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 7. Suppose 0 = 14*z - 18*z + 8. Suppose 9 = 4*b - 3*u, 0 = 2*b + 3*b - z*u - 20. What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 7284 - 7272, 16 = 2*i - 4*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qqaqaqucwwchwqwqq.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**2 + 9*k**2 + k**2 - 6*k.\nAnswer: 2*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127 - -62?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 81965186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2845 (base 14) to base 5\nAnswer: 211432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let c(f) = -f**3 + 3*f**2 - 3*f + 2. Suppose i + 4*i - 19 = 3*u, -24 = -2*u - 4*i. Let b be c(u). Solve -k*s = b, o - s = -5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 + -0.2907. What is z rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = y, -y - o = 4*o - 35. Suppose 0 = -5*g - y + 30. Solve g*d + d + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36865*y**3 + 32546*y**3 - 25942*y**3.\nAnswer: 43469*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 108*u + 403. What is x(-3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**3 - 3*o**2 - 5*o - 1. Let z(t) = -t**3 + 1. Let h(b) = -d(b) - 5*z(b). Let l be h(4). Solve -4*s + u + 8 = l, -3*u - 10 = -5*s - 6*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 165048?\nAnswer: -165040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.12 (b) 0 (c) -1 (d) 31 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n - 6140 - 3911 = -340*n + 4168 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 38. Let u(m) = 3*m + 20. Let h(o) = -4*j(o) + 9*u(o). Let t = -1 + 1. What is the remainder when 55 is divided by h(t)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 9002.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3)*1)**2 - (sqrt(3) + sqrt(243) + 0)**2.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k - 938 + 2445 = -160*k - 830 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:06 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.9, 1053, 4, 3?\nAnswer: 1053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*c - 2*r, 154 = 3*c + 4*r + r. Let f = -18 + c. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -817.8492 - -818. Round s to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**2. Let t(o) = -171*o + 17. Give t(q(k)).\nAnswer: -2907*k**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*-4)\/(-6*sqrt(12)\/sqrt(3)) + 3.\nAnswer: -2*sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/362151 and 7\/15?\nAnswer: 1810755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4142435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1318\/7 - 188. What is the closest to 0.1 in -2, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14391 is divided by 7184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8207428811 to four decimal places.\nAnswer: 0.8207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476377 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:23 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25*y**2 - 2*y + 34. What is the remainder when d(-4) is divided by 132?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 370\/30 - 4\/3. Solve 2 = -v*w + 13*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-6)\/(-4))*0. Suppose s + 1 - 9 = k. Solve -20 = -3*x + s*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30138167 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558.9043ms in minutes?\nAnswer: 0.042648405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254402 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, -2\/5, 1\/6, 2, 2336, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 65 = o. Let u = 16 - o. Solve 0 = -4*c + 2*t - 7*t - 15, -c - 2*t - u = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85344979?\nAnswer: 19, 4491841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -2117 in descending order.\nAnswer: -2, -5, -2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 837239775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39 (b) -59\/135 (c) 3\/8 (d) -0.15 (e) -5 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1 - 204*w + 1 - 6 - 3. Is o(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38157 - -38157.000032166. What is z rounded to 7 decimal places?\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169018807 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from ccowoodoo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 7) to base 13.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.376856 times 7?\nAnswer: 9.637992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 71*m**2 + 14*m**2 - 51*m**2.\nAnswer: -104*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3220120 + -1221203. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 times -0.4?\nAnswer: 264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -19. Let a = g - 15. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + h - 1. Let v(i) = i**3 - 9*i**2 - 7. Let n(u) = 5*g(u) - v(u). Let x be n(5). Solve 4*m - 18 = x*f, -2*f - 15 = -5*m + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219*m**3*v**2 - 522983*m**3 + 13649*m*v**2 - 7045*m wrt m?\nAnswer: 1314*m*v**2 - 3137898*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8483*a - 179 = -8468*a + 16 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248660, 496523, 744386, 992249, 1240112?\nAnswer: 1487975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 712.2 - 56\nAnswer: 656.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*c = -2758, -c - 2105 - 99 = 4*j. Let d be (-2)\/12 - j\/132. Let w be (1 - d) + (2 - -1). Solve 3*v + 4*b + 12 + 1 = w, 5*v = -2*b - 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**3 + 2*c - c**2 - 2*c**2 - 3*c**2. Let x(h) = 5*h**2 - 3*h**3 + 2*h**3 - 2*h**2 - 4*h**2. Determine -b(p) + 6*x(p).\nAnswer: p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2007, 1998, 1983, 1962, 1935, 1902?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 41*c + 283. Suppose 1339*q - 308 = 1383*q. Give g(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w + 2. Is (w\/(-3) - 2)*-24 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 4*q - 3*q)*(195 - 116 - 96 + 3*q)*(2 - 1 + 0)*(q + 3*q - 2*q).\nAnswer: -6*q**3 + 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -15. Suppose 3*q - 4*q - 44 = -2*y, t = -4*y - q + 100. Let z = -14 + y. Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 181094, 362190, 543284, 724376, 905466, 1086554, 1267640?\n\"Answer: -s**2 + 181099*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0 - 2*v + 8*v**2 - 19*v**2 + 12*v**2 + 1. Suppose 0 = o - 2*r + 9, 5 = -5*o + 4*r - 10. Give l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.99328 centuries in months?\nAnswer: 33591.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggnzgggzzgz. What is prob of sequence zggn?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -153ccc (base 14) in base 10?\nAnswer: -740668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/4)\/((-1)\/(-4)). Solve -2 = i*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/224 - 1324\/(-320)) + -4. Which is the third smallest value? (a) o (b) 230 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -1. Let q = 0 - w. Find the common denominator of 54\/7 and (-2)\/q - (-241)\/(-63).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 13*z - 4. Let v be m(13). Let l be (-16)\/v + 0\/3. Suppose l*f - 330 = -f. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144 or 141?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -3.37?\nAnswer: 10.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 13 = 2*s, m + 75 = -5*s - 3*m. Let i = -11 - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-15 - (0 - 1)) + 0 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*-1 - ((sqrt(11) - sqrt(11)*2) + 1)**2.\nAnswer: -9*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444374 and 1099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3 - 7*f + 0*f**2 - 3 + 3 + f**2. List the prime factors of x(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h - 6*h - 20*h + 1 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -28*f**3 - 3*f**2 - 3*f - 3. Let k(m) = 84*m**3 + 8*m**2 + 8*m + 8. Give 3*k(r) + 8*t(r).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 25 = 5*i + 2*x, 41 = 4*i + 5*x. Let g be (2\/i*1)\/(2\/12). Solve -6 = g*s, -p - 7 - 4 = 4*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 145, 232, 327, 430, 541?\n\"Answer: 4*j**2 + 67*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -541100 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4873a (base 16) to base 12\nAnswer: -1238a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -79270302\nAnswer: 1\/39635151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 1738829*z + 1738825*z = 101, -4*j + z = 64 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/135 and -28\/3575.\nAnswer: 96525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2\/5 - 70369122*b\/5 - 412651110920907\/5 = 0.\nAnswer: -11728187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 1 (c) -3\/8 (d) 10 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 2031348904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**33*(r\/(r**(-29\/3)\/r))\/r)\/(r**(2\/11)\/r**33) assuming r is positive.\nAnswer: r**(2524\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-12))\/(2\/(-176)). Let k(i) = i**3 - 25*i**2 + 70*i + 29. What is the remainder when k(u) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. What is the smallest value in -0.1, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -75, -5, -226, 2 in descending order.\nAnswer: 4, 2, 0, -5, -75, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Let d(z) = 33327*z**2. What is v(d(m))?\nAnswer: 1110688929*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**2*k\/(k\/(k**(-4)\/k)))\/((k**(-5)*k)\/k**(-1\/4)))\/((k**(1\/2))**22*(k\/k**3*k)\/(k\/k**3)) assuming k is positive.\nAnswer: k**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 1 + 1 + (0 - h + 0)*(-1 + 5 - 2))*(-4 + 4 + h) + (2*h - 2*h + 4*h)*(5*h - 3 + 3) to the form i + t*h + b*h**2 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1202, -1354, -3910, -6466, -9022, -11578?\nAnswer: -14134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, z: 3, y: 3, a: 3}. What is prob of sequence za?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 34*y**2 + 1. Calculate d(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22)*o**(-17)\/o*(o\/(o*o**(-4)*o))**(13\/4))**(10\/3) assuming o is positive.\nAnswer: o**(-605\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 396790*p - 7872115205.\nAnswer: -5*(p - 39679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 7271?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1190\/68*6\/(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 less than -15.530972993?\nAnswer: 19.469027007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 12 - 112899\/(-11) - (-12)\/(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 54.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 100122013321?\nAnswer: -100122013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73b (base 12) in base 9?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -26, 5 in descending order.\nAnswer: 5, -3\/4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 + 150.97. Let h = w - -0.03. Are 1 and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2.996 (c) 0.592 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 8 = -34 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 154*x. Let i be k(0). Which is bigger: -15\/239 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 6, b: 4, h: 4, r: 1}. Give prob of picking 2 b, 1 r, and 1 o.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.494234067 rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7206 + 7093. Is d at least as big as 14298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/7 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011*h - 1009*h - 32 = 0. Let g(u) be the first derivative of u**4\/4 - 5*u**3 - 15*u**2\/2 - 16*u - 1. Calculate g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**8\/960 - k**5\/15 + k**4\/4 + 9*k. Let w(l) be the third derivative of q(l). Differentiate w(j) wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 115 - 20. Let n = 21 - f. Let -3\/4*j**n + 3\/2*j - 3\/4 = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8326 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 3316*b**2 - 3314*b = 0 for b.\nAnswer: 0, 1, 1657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6*c = -35. Let h be ((-177)\/10 - (-42)\/(-28))*c. Let b = h + 2977\/31. Which is greater: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddddsdddsdssssd. What is prob of sequence sdds?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7389386 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755 is divided by 210.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 18 = -6*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**5\/90 - g**4\/54 - 3*g + 3. Let a(l) be the first derivative of s(l). Suppose a(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**4*((l\/(l\/l**(-1))*l)\/l)**35 assuming l is positive.\nAnswer: l**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzdzgxrgrxdxpd. What is prob of sequence xxxz?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -0.5 (b) 4\/5 (c) 1\/3 (d) -18 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -58*t + 4. Let m(l) = 2*l**2. Calculate m(j(x)).\nAnswer: 6728*x**2 - 928*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 + 3. Let z be (-1)\/(1\/3) - -3. Let f be x(z). Solve -t + f*h = -1 + 5, 4*t - 3*h = 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 363, 505, 665, 849, 1063, 1313, 1605?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8449503 greater than or equal to -160540530\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2512*d - 25125. What is v(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 633566 - 633565.9433533. Let x = h + -23.0643467. Let k = x - -23. Round k to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 345161414 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*((-16)\/(-20) + -1). Suppose m = -3*r + 5*b, 1 - 3 = 2*r - 4*b. What is the least common multiple of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 25*a**2 - 61*a + 39. Give x(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:00 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (105 + 148 - 68)*(0*f**4 + 2*f**4 + 0*f**4) in the form k*f + o + i*f**2 + a*f**3 + x*f**4 and give x.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-522)\/(-10))\/(-8 - (-3133)\/390) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*c + 343*b**3*t - b**2*c + 25*b*c*t - 44*b wrt t.\nAnswer: 343*b**3 + 25*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 10*m**2 - 10*m + 7. Suppose 4*g + q = -47, -g - 4*q - 56 = 3*g. Let v be z(g). Is 6 a factor of (5\/2)\/((-1)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x + 4*x**3 + 0*x + x**3 - x wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-18) + 12\/9. Suppose -3*y - 3*u = 12, 0 = -i*y - 5*u - 8 - 12. Let k = -309 + 310. Solve d + k = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/84 and 173\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*z - 31, 4*z + 0*z - 17 = -i. Let g(f) = -f**3 + 4*f**2 + 3*f + 5. Determine g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 1, v: 2, h: 2, d: 1, t: 4}. What is prob of picking 1 h, 1 g, and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 + -63. Let y(c) = k - 7*c + 26 - 63 + c**2 - 2*c**2. Determine y(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (13 - 10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/2*c**2 + 0*c - 4*c**3 + 0 - 1\/2*c**4.\nAnswer: -c**2*(c + 1)*(c + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -710380 or -4262285\/6?\nAnswer: -4262285\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.054 + 6.846. Let d = -1.9 + c. Let r = -7 + 5. Sort r, -4, d in descending order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4 + 0 - 14*h + 12*h. Let n be f(6). Let q = 19 + n. Solve 3*g + q = -5*m, 0 = g + 3 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Which is the nearest to 0.1? (a) i (b) -10 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 3. Let q(x) = 4*x + 4. Let c(d) = -d**2 + 5*d - 2. Let b be c(6). Let m be 2\/((-3)\/((-396)\/b)). Let r = -28 - m. What is r*k(i) - 4*q(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 871 and 268?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152776899 by 363.\nAnswer: -420873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589489, -1178983, -1768477, -2357971?\nAnswer: -2947465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 8*t - 1080. Let j = 227 + t. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58110 divided by 1\nAnswer: 58110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = -22*h + 1455. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -207. What is the least common multiple of 117 and l?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 4. Let l be a(4). Let r(v) = 5*v**2 + l - 153 + 72. Let q(d) = -d. What is q(r(h))?\nAnswer: -5*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 t when three letters picked without replacement from {t: 4, f: 2, h: 2, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -34313700 rounded to the nearest one hundred thousand?\nAnswer: -34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -835318*a**3 + 491*a**2 + 838617560*a wrt a.\nAnswer: -5011908*a + 982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d - 279*d - 145*d.\nAnswer: -336*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192 is divided by 309.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v + 3*v + 2*v + 10*v. Let k(y) = 2*y - 7*y - y - 5*y. Determine k(t(u)).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333 + -317. Let x = -13 + 8. Let o(w) = w**2 + 3*w - 25. Let u be o(-7). Which is the nearest to -0.2? (a) x (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t**2 + 80*t - 1439. Is 42 a factor of i(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4759 - -0.0061. Round k to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*g - 2*g + 10, 4*k + 2*g = 10. Suppose k = -3*q + 10*q + 308. Is q at least -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 + 176 - 34*f)*(35*f - 3*f**3 - 37*f + 5*f**3 - 12*f**2).\nAnswer: -68*f**4 + 408*f**3 + 68*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -10 (b) -0.14 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and -0.245657.\nAnswer: 5.404454","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*p = 2, -5*m + p = -2*m + 7. Let u be ((-6)\/4)\/((-3)\/22). Let q(a) = -a + 6. Let s be q(u). Is m smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + -0.28. Let p = 10 + -48\/5. Let f = -72 - -104. Sort f, p, i in decreasing order.\nAnswer: f, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q. Let k(i) = -i + 1. Let l(z) = c(z) + 8*k(z). Let v(t) = t + 1. Suppose 6 + 4 = 2*d. Suppose -d*s = -2*s - 3. Determine s*l(j) - 8*v(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14883.39 millilitres?\nAnswer: 14.88339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -656, -1315, -1978, -2645, -3316, -3991, -4670?\nAnswer: -5353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5984, -5949, -5914, -5879, -5844, -5809?\nAnswer: -5774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = 1. Suppose s*k = 9 + 31. Solve 3*n + n = k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*i - 18 = 0, -j + 4*i = -2*j + 8. Solve 5*d - j*m = 7*d - 2, 0 = -2*d + m - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12910 or 12906?\nAnswer: 12910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.416057 milligrams in tonnes?\nAnswer: 0.000000002416057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -44*p**3 + 112*p**2 + 612*p - 360 = 0.\nAnswer: -3, 6\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, u: 3}. Give prob of sequence uo.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -1 in decreasing order.\nAnswer: 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068321660 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyywwfyyfwyfrfyyyw. Give prob of sequence yfy.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-70)\/15 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58878 is divided by 956?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96413*g - 96221*g = 10176 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57937472\/31 or -1868951?\nAnswer: -1868951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2172)\/(-20)*(-1004)\/24. Let c = 4537 + p. What is the common denominator of (-1 - -5) + (-490)\/(-84) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 7880*u - 3935*u - 3924*u to l*u + n and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - l + 28, 4*w - 10 = -5*l + 106. Which is smaller: 25 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 3*d**2 + 3*d + 6. Let z be w(-4). Let l = z - 7. Calculate the least common multiple of l and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 10. Suppose -2*r + y = -0. Suppose -2 = b + r*f, -44 = -4*b + 5*f + 13. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11978686 divided by -5\nAnswer: -11978686\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1195 and 161803.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16372, -65652, -147792, -262798, -410676, -591432, -805072, -1051602?\n\"Answer: -c**3 - 16424*c**2 - c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b + 5*v, 3*b + 2*v + 2*v = 28. Differentiate 57 - 51*n**b + 31*n**2 - 31*n**2 with respect to n.\nAnswer: -204*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*1*(-3)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -w + 5, 2*m = w - 3 + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -1\/6*u**4 + 2\/3*u**3 - 2\/3*u**2 - 6 + 0*u. Determine a so that f(a) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/12)\/(7\/(-105))?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22712397 and -5?\nAnswer: -113561985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -23, -39, -55?\n\"Answer: -16*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-5) + 836\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 0*a**2 - 3*a**4 + (6*a + 15*a + 13*a)*(-225*a**2 + 225*a**2 - 71*a**3) in the form y*a**4 + n*a**3 + q*a + m + u*a**2 and give y.\nAnswer: -2417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 + 7*d + 9. Let m be f(-6). Suppose -4*t - 8837 = -m*x, -x + 2924 = t + 2*t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 541 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6751*r - 98. Give k(0).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -40, -62, -86?\n\"Answer: -c**2 - 17*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 34 = 2*z, 31 = -115*j + 112*j + 4*z. Sort -2, j, 2.\nAnswer: j, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -4*h, 4*h + 0*l + 4*l = 8. Let d(m) = -2 + 0*m**2 - 9*m**2 + 25*m**2 - 7*m**2 - 10*m**2. Calculate d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15624.403026 + -15611.403. Let f = 2633 + -2646. Let x = o + f. Round x to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88975857, -88975858, -88975859, -88975860, -88975861, -88975862?\nAnswer: -88975863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/(3\/6*1). Suppose -2*n = -2*w + 14, j*w + 4*n + 1 = 3. Calculate the smallest common multiple of 3 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614204 a multiple of 1583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let n(l) = 2*l**2 - 16*l. Let s(k) = 4*k**2 - 33*k. Let i(u) = 7*n(u) - 3*s(u). Calculate i(w(p)).\nAnswer: 2*p**4 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*h - 8 + 16*h + 11)*(1 + 21 + 2).\nAnswer: 864*h + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1626.125 centimeters to nanometers.\nAnswer: 16261250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*p**2 + 12*p**2 + 15*p**2 + 22*p**2 + 11*p**2 + 11*p**2 - 62*p**2.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 - 0.4?\nAnswer: -575.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 956317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1352 - -1353.694. Let h = o - -0.106. Which is the third biggest value? (a) h (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70407722 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 6, -4*t + 3*t = -2*y - 14. Suppose 230 = 3*k - 4*l, t*l + 176 = 2*k + 13*l. Calculate the remainder when k is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2759? (a) 1 (b) 98 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*h + 64*h - 618. Solve -2*x + 4 = -2*f + 8, 12 = h*f - 5*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 + 3*c**3 - 12*c**4 + 75*c + c**3 - 27*c + 109 - 35 - 58 + 44*c**2.\nAnswer: -4*(c - 2)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Find the first derivative of -11 + 12 + 5*w**2 - 3*w**p wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292 + -260. Suppose 168*f - x = 160*f. Solve -f*m - 4 = -24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124904458 a multiple of 1889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**2 + 7 - 7 - 158*m**2 to the form z + w*m**2 + h*m and give w.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = 0, 4*p - 3 + 1 = 3*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 167, 229, 291?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*u + 15 = -3*h, -2*h - 10 = 4*u. Let l(c) = -47*c + 44. Let a be l(h). Suppose -4*m + a + 201 = 0. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/26)\/((-6)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, -3\/7, -3, -2, 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + sqrt(153))*-2 + (sqrt(85)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: -7*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47\/388059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144534 + -144532. What is f in -12\/7*f**s + 0 - 8\/7*f - 4\/7*f**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2429430 and -31\/15507?\nAnswer: 7288290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.84 - -0.16. Let h = c + -24.8. Let a be (20\/25)\/(350\/125). What is the closest to 2 in a, -2, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 38 = 2*q + r, 57 = 5*q + 3*r. Suppose 0 = q*m - 12*m + 222. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4421 and 981?\nAnswer: 4337001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16490830 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 15112*c - 135834. Calculate u(-9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r + 7. Suppose 4 = 2*g - g. Suppose 0*h + 5*p = h + 21, g*p = -2*h. What is the units digit of x(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 6201*i + 37*i**2 + 6193*i + 9*i**2 in the form g*i**2 + b*i + o and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h + 3*g - 37, 4*g = 16. Suppose 0 = -o - h + 11. Find q such that -2*q**2 + o*q**2 - 3*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/63)\/(4\/4740828) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let s(w) = 3*w - 5*w + 8 - 6*w + w + w**l. Does 15 divide s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + (1*sqrt(684))**2 + 1 + -4 + 5)*-1.\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p)*(463*p - 4 - 283*p - 290*p).\nAnswer: -110*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 41 = -14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59 (b) -3 (c) -0.5 (d) -0.1 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 245*w**4 + 13*w**3 + 472*w. Let k(u) = 496*u**4 + 27*u**3 - u**2 + 945*u. Let b(a) = 2*k(a) - 5*t(a). What is the third derivative of b(s) wrt s?\nAnswer: -5592*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -22, -27, -32, -37?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2604 - -0.0121335.\nAnswer: 0.2725335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvpppppvpp. Give prob of sequence vvv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 175 = 0. Let d = 54 - z. Let h = d - 9. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 31. Suppose 2 = t + 4*c - 6, m = 5*t + c. Let f(x) be the second derivative of -x**4\/12 + 11*x**3\/6 - 2*x**2 + 74*x + 22. Give f(t).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1\/5. Let j = -3709 - -11126\/3. Put -3, m, -2\/7, j in decreasing order.\nAnswer: m, -2\/7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -21*r**2 - 56*r - 42. Let t be b(-16). Let v = -2805 - t. What are the prime factors of v?\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122 - 11?\nAnswer: -12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2 and 10\/50 + (-1162)\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x - 169. Let j(m) = 5*m - 84. What is 4*g(y) - 7*j(y)?\nAnswer: y - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 - 20*n - 16. Let g(a) = 15*a + 8. Let j(c) = c**2 - c. Let d(w) = -g(w) - 5*j(w). Let x(b) = -5*d(b) + 2*l(b). Is x(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**4\/30 - j**3\/15 + 8*j. Factor k(q).\nAnswer: -2*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91481 (base 11) to base 14\nAnswer: 36a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.14. What is o rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-15 - (-29 - -9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/4*i**4 + 0*i**6 + 7*i + 0*i**3 + 0 + 1\/14*i**7 + 0*i**5 + 0*i**2. Find the third derivative of j(v) wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 - 16*m + 2. Let s be f(-10). Suppose s = 4*d + 194. Let l = d - 179. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**3 + b**2 - 9*b + 9. Let h(v) = -v**3 + v - 1. Calculate -18*h(p) - 2*w(p).\nAnswer: -12*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(176))**2*3)*3 + -6*((sqrt(176)*-1)**2 - (sqrt(11) + 0 + sqrt(11) + 2)**2).\nAnswer: 48*sqrt(11) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830846268 by -498.\nAnswer: 1668366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1.9\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*487.\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33118 + -4?\nAnswer: 33114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94067 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*((x**(-1\/18)*x)\/x)\/x)))\/(x\/(x\/x**(-2\/3)))*x*x*x*x\/x**(-5\/6)*(x**(3\/11)\/x)\/x assuming x is positive.\nAnswer: x**(368\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - y**2 - y - 1. Let p be u(2). Suppose -2*n + h = -6, 4*h = 4*n - 0*h - 12. Let t be n\/p + 4\/(-3). Do -2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/(-1170)*2\/4*3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86 - -4126?\nAnswer: 40a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2990394 and 18801094.\nAnswer: 21791488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287920?\nAnswer: 2, 5, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -152348416\/9 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g - 2)*(-2 + 5 - 1) + (0 - 5 + 2*g + 2)*(31 - 17 + 6) + 2 - 2 - 2*g.\nAnswer: 36*g - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**6*(n*n**(-1\/3))**(-49))**(1\/20) assuming n is positive.\nAnswer: n**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4 - 945*w + 1 + 948*w. Suppose 9*q - 4*q = 0. Suppose 8*u - 3*u + 25 = q. Let m(l) = -4*l + 4. What is u*m(b) - 6*x(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 14. Suppose -59*v - 36 = -61*v. Let z = v + y. Calculate the remainder when 19 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 41322420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 2.94. Let m = -2185918.0000032 + 2185915. Let n = q + m. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*i = -14, k + 18 = -4*k + 4*i. Let o be 2\/8 - (-9)\/(-4). Let c be 0 - -4*k\/o. Calculate the greatest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - (3 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nknunurnnknnrnun. Give prob of sequence knkr.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**2 - 4*f - 9. Let d(h) = -10*h**2 + 4*h + 10. Let g(y) = -5*y**2 + 2*y + 5. Let j(z) = 4*d(z) - 9*g(z). Give 5*j(c) - 3*n(c).\nAnswer: -2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594264726?\nAnswer: 2, 3, 11, 53, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.943 + -0.057. Let n be (-1)\/(-8) - 740\/(-480). Which is the smallest value? (a) 0 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let h(c) = 0*c**2 - c**2 + c**2 + 4*c**2. What is h(a(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/15*5\/(-2). Let v = -32123 - -449721\/14. Which is the second biggest value? (a) -0.3 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) + 12\/(-20). Suppose 4*o - 7 - 5 = p. Suppose -9 = -k + o. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l + 12. Let q(g) = 2*g**2 - 10*g + 25. Let a(r) = 13*p(r) - 6*q(r). Suppose -7*u = 43 - 78. What is a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j - 8. Let x = 5 + j. Suppose 16 = 7*h - 3*h. Sort h, -5, x in increasing order.\nAnswer: -5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 9*h**2 - 12*h - 6. Let z be y(-8). Suppose -u = z - 6. Let b = u - -22. Solve -2*x + 2*m + 2 - 6 = 0, -3*x + 14 = b*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 - 2528*z\/13 + 10144\/13.\nAnswer: -2*(z - 4)*(z + 1268)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*(h*h**(-3))\/h))*h**(10\/11))\/((h\/h**(3\/10))\/h*h\/((h**(-1\/34)\/h)\/h)) assuming h is positive.\nAnswer: h**(-4507\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -6*x - 82. Let r = 68 - x. Let v be (-12)\/r*8\/6. Solve 2*g = -v*m - 2*g + 12, 4*m + g + 11 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (69 + -65)*(0 + 2\/52). Which is the nearest to -0.3? (a) -1 (b) -15 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4567*w - 3. Let v(u) = -13*u + 10. Give v(o(i)).\nAnswer: 59371*i + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -4 (c) 2.385 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 623765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96063660)\/549855350 - (-4)\/890.\nAnswer: -8\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125300?\nAnswer: 2, 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 362489*v\/3 - 3987500\/3.\nAnswer: (v - 11)*(v + 362500)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65840 by 3.\nAnswer: 65840\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*i + 8, 2*i = 5*j - 0*j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25.6*0.08773\nAnswer: -2.245888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 227145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -448811.\nAnswer: -44881.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(16*w - 2 - 17*w - 37).\nAnswer: -2*w - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.293 + -0.303. Let v = 12 - 14. Let u = v + z. Which is the smallest value? (a) u (b) -2\/13 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(1\/3)*r)\/r)**(2\/49))**(-2\/19)*((r**(-2\/5)\/r)\/((r*r\/r**4)\/r))\/(r**0*r**(-2)) assuming r is positive.\nAnswer: r**(7162\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2. Let i(z) = -472*z + 7. What is j(i(n))?\nAnswer: 668352*n**2 - 19824*n + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -10. Let n = g - -6. Suppose -5*p + 15 + 10 = 0. Calculate the highest common divisor of n and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuyuyyyxyuuyuy.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*z + 2799 + 801 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*36\/24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*s - 149 = 167, -5*p + 565 = -s. Let u(y) = -112 + p + y. Let j(o) = 34*o**2. Give j(u(r)).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 - 5*s + 1. Let y be r(-7). Suppose 5*x = 3*k - 19 - y, 0 = -k + 2*x + 18. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g + 1199. What is c(-37)?\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -15. Suppose -v = 5*x - 10*x. Suppose -2*c = -z - z + 30, -x*c + 18 = z. Calculate the smallest common multiple of z and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 0, -5*b + 0*b - 2*t = -115. Let z = -29 + b. Let m(c) = -c**3 - 6*c**2 + c + 8. Give m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 152*k**4 - 128*k**2 + 2*k**5 - 304*k**3 + 125 + 932*k**3 - 285 + 638*k - 824*k**2 = 0. What is k?\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.81? (a) 2\/7 (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7358414 or 7358415?\nAnswer: 7358414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 294 + -301. Which is the nearest to -0.2? (a) u (b) -8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -25*f**5 + 574145*f**4 - 3902754*f**3 - 6336980*f**2 + 6795928*f - 1469376 = 0.\nAnswer: -2, 2\/5, 8, 22959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6\/h*h*h)\/h*h**(-6\/13)*h**(1\/2)\/h*h**1*h)**(5\/3) assuming h is positive.\nAnswer: h**(1045\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469, 940, 1417, 1900, 2389?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (132\/(-36) - (-41 + 22)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108, -111, -110, -105, -96, -83?\n\"Answer: 2*f**2 - 9*f - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a day?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.013 (b) 1\/21 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5, -3\/5, 13, 3\/2 in ascending order.\nAnswer: -4\/5, -3\/5, 3\/2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199.811944 rounded to 1 decimal place?\nAnswer: -1199.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + a - 4 = 42*f, 5*f - 5*a = -30 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -432109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (31 + -12 + 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 728 and 9568?\nAnswer: 66976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let c = 1 + p. Differentiate -3*a - c - a - 3*a**2 + 4*a wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-2 + -1 + 0 - -2*(sqrt(45) + sqrt(5))*-3.\nAnswer: -26*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 381642136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25767 - 13671. Is i a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) -1212819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0226 in 2\/13, 5\/4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -0*w + 2*w + 2*j - 172, -2*w - 3*j + 31 = 0 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let n(b) = 2*b - 3. Let f = 2 - -1. Let m be n(f). Let i be w(m). Solve 4*t = 2*q + 3*q - 8, -5*q = -i*t - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/3)\/((-16)\/(-48)). Suppose -3*c - 2*z - 46 = -b*c, z - 73 = -3*c. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let d(o) = o + 1. Suppose 21*f - 12 = 9. Let t(i) be the first derivative of 11*i**2\/2 - 6*i + 2. Let g(c) = f*t(c) + 6*d(c). What is g(b(y))?\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 3. Let a be v(-2). Let q = 4 - a. Suppose b + 2*m - 31 = -q*m, 2*b - 18 = m. Solve 0 = -5*c, -5*o - 5*c - 26 = -b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*g**3 + 2\/5*g - 2\/5*g**2 + 2\/5*g**4.\nAnswer: 2*g*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 8}. What is prob of picking 1 s and 1 y?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = 0, -2*g - 2*k + 10 = -5*g. Suppose -4*q + 2*n + n = -4, 5*n + 18 = q. What is the units digit of (q + g)\/(-2)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 5*b - 38. Let y be w(-9). Let p(g) = -5*g**3 - 9*g**2 + 2. Let i be p(y). Solve 5 = -i*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 6*y - 3*y. Suppose -5*j + 68 + 22 = 0. Let l(h) = -2*h + h - j*h. Give l(w(q)).\nAnswer: 19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 6*y + 0*y)*(3*y + 3*y**2 - 3*y) + 222*y**3 - 37*y**3 + 196*y**3.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2. Let f be (-147)\/(-9) - (-1)\/(-3). Let z be 0*(f\/(-12))\/(-4). Sort 3, b, z in decreasing order.\nAnswer: 3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-4 + 3 + -4). Suppose -y - 13 = -v*y + t, -3*y - 2*t = 4. Let u(s) = -2*s**2 + s + 1. What is u(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -4*n - 44. Let q = -30 - n. Let d(g) = 20*g**2 + 8*g + 7. Is d(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.805 + 0.295. Let p = t - 13. Sort 0, -2\/7, p in decreasing order.\nAnswer: p, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10167322 (base 9) to base 11\nAnswer: -2838540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sap when three letters picked without replacement from {u: 3, a: 3, s: 1, o: 3, p: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.897963207 to 4 dps.\nAnswer: 0.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30385 - -30502. Solve 33 = -21*z + s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldcu when four letters picked without replacement from {d: 10, l: 2, v: 1, u: 1, c: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + 0.3. Let z = -1.2 + s. Let g = z - -0.2. Which is the second smallest value? (a) -5 (b) 3\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4549849 seconds to hours.\nAnswer: 0.00068194025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -173*w - 197*w + 573 + 5*w**2 - 80 + 85*w + 57.\nAnswer: 5*(w - 55)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1387204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:14 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5785 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -280, -280, -282, -286, -292?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*c = 27145 - 23311 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 - y**2. Let o be h(-1). Let i be o\/3*2*1. Suppose q = -w + 5, -2*w - i*q - 14 = -3*w. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011 + -11011110001101001?\nAnswer: -11011110100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 27*h + 37. Calculate y(-13).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = -16. Suppose -3 = -2*l - w + 5, -4 = -l + w. Let d = 8 - l. Solve t - 2*f = 3*t - o, -d*f + 18 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/912 and -41\/156294.\nAnswer: 1250352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354592004?\nAnswer: 2, 838648001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(120)\/sqrt(3) + sqrt(40)))\/sqrt(8).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -3 + 3 + 2 + sqrt(500) + sqrt(5) + -1.\nAnswer: 1 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**5 + 3*c**5 - c**5 + 3*c**4 - 3*c**4 + 2*c**5 + (2*c + 3 - 3)*(4*c**4 - 3*c**4 + 4*c**4) - 3*c**5 + 4*c**5 + c**5 + c**5 - 4*c**5 + 4*c**5.\nAnswer: 13*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17685901?\nAnswer: 17685901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 0*k**2 - 2*k**2 + (-2*k + 6*k - 3*k)*(-5*k + 4*k - k) + (2 - 4 + 1)*(-k**2 - 8*k**2 + 0*k**2).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5038 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) 3 (c) 0.2 (d) 0.4 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/25))**33 assuming t is positive.\nAnswer: t**(-132\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*d + 16, d - 18 = 2*u + 3*u. Put 5, 0, u in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8065596 and 24244.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2627 greater than -541163\/206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 2*a - 4*a - 4)*(a**2 + 2*a**2 - 4*a**2).\nAnswer: 2*a**3 - 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((1250\/175)\/50)\/((-32)\/(-42))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132974333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 281879089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1273)\/114)\/(-67))\/((-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.425 (b) -2.4 (c) -0.14 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/((sqrt(200) - sqrt(50))\/sqrt(10)))\/((6*(sqrt(121) + (sqrt(121) - -1*sqrt(121)) + sqrt(121) + sqrt(121)) + sqrt(121))\/sqrt(11)).\nAnswer: sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137 or -7885\/58?\nAnswer: -7885\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2045910 is divided by 554?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 259656 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1573 divided by -8\nAnswer: 1573\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.865 + -1.069029.\nAnswer: -0.204029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i*q**4 + 20*i*q**2 - 2*i*q - 38*q wrt q?\nAnswer: -60*i*q**2 + 40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(0 - 1 + 0)*(-292*i**4 + 171*i**4 - i + 126*i**4 + 143) as c*i**2 + v + b*i**4 + y*i + x*i**3 and give v.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, 1 n, and 1 x when four letters picked without replacement from enxnnmeneemvtmtmemn?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -531*j - 475. Let w(y) = 796*y + 711. Let k(b) = 7*n(b) + 5*w(b). Is k(39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3, -15 in decreasing order.\nAnswer: 3, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 6*x + 1. What is p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5694*c**2 - 5684*c**2 + 11376*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (3808 - 2) + 2 + -4 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515289?\nAnswer: 3, 171763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5753593, 5753594, 5753595, 5753596?\nAnswer: 5753597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 357, 329, 281, 213, 125?\n\"Answer: -10*p**2 + 2*p + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1357\/5 + -271. Let t be -3 + 3 - (2 - 4). What is the third smallest value in 1, -2, b, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.138 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) 12 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 11*d + 46. Let y be u(-15). Is (-385320)\/(-273) + 6\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 505511155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 35 - 68 + 135 - 32. Let u(t) = -t**2 + 76*t. What is u(d(x))?\nAnswer: -x**4 - 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 + -456.7. Let h = x + 10.7. Which is the nearest to 0.1? (a) 2\/3 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1095869, 1095906, 1095957, 1096028, 1096125, 1096254, 1096421, 1096632?\n\"Answer: j**3 + j**2 + 27*j + 1095840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5009 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 q when four letters picked without replacement from jjzzdqdjddz.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = a - 0*a - 1836, -a + 732 = 2*s. Suppose p - 2*k - s = -p, 0 = -4*p - k + 711. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/4730 and 29\/1474176.\nAnswer: 316947840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6967, 6971, 6975, 6979, 6983, 6987?\n\"Answer: 4*s + 6963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4 - 18. Let h = -8 + g. Suppose h*q = 8*q - 40. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6428, 6413, 6384, 6335, 6260, 6153?\n\"Answer: -g**3 - g**2 - 5*g + 6435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15474536543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339 - -367. What is the greatest common factor of 364 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 24. Solve 0 = -5*j + 2*p + m, -j - p = p - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339082, 678005, 1016772, 1355383, 1693838?\nAnswer: 2032137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from {h: 2, c: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**4 - 69*i**3 + 264*i**2 - 18*i - 288. Let c(z) = z**4 + z**3 - 8*z**2 + z. Let r(v) = -6*c(v) - g(v). What is x in r(x) = 0?\nAnswer: -24, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 555 = -554 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 732, 1482, 2278, 3138, 4080?\n\"Answer: 3*p**3 + 5*p**2 + 714*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**5\/390 - i**4\/78 - i**3\/13 - 7*i**2\/2 - 10*i. Let x(r) be the first derivative of f(r). Factor x(h).\nAnswer: 2*(h - 3)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.6 (b) 2 (c) -1648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 729*m + 1349*m - 15*m**2 + 66*m**2 - 46*m**2 as s + a*m**2 + p*m and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 93608310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:54 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.9 (b) 0.01 (c) -2 (d) -1\/3 (e) 4 (f) 0 (g) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1451043 = 49*g - 5572390 + 1960214. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59625 (base 13) in base 16?\nAnswer: 27f27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r - r**2 + r)*(-2 - r + 2) - 279*r**3 - 221*r**3 + 126*r**3)*(-2*r - 3*r + 3*r + (-r + 0*r + 2*r)*(-6 + 1 + 4)).\nAnswer: 1119*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 45*j**2 + 9*j + 8. Let d be p(-2). Suppose 97*h + d = 98*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, i: 1, m: 2, h: 4}. Give prob of picking 1 m, 2 h, and 1 i.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0153951 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v**2 - 11*v - 9. Let l(z) = -7*z**2 + 5*z + 5. Let s = -2991 - -3004. Determine s*l(w) + 6*p(w).\nAnswer: -w**2 - w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*j**2 + 158*j**2 - 82*j**2 - 35 to o + b*j + w*j**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310.4 and 4208?\nAnswer: -1306163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30792197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let o(v) be the second derivative of v**4\/24 - v**3\/3 - 5*v**2 - 9*v. Let q(k) be the first derivative of o(k). Give q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d5bc1 (base 14) to base 6\nAnswer: -34324141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1352.5 - -1353. Let g = 130 - 131. Let a = -5.6 + 6. What is the fourth biggest value in a, g, -1\/2, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**2. Suppose 0 = -4*o + 2*x + 29 - 17, -2*o - 5*x = 6. Let h(z) = -2706 + 23*z**o + 2706. Determine h(l(d)).\nAnswer: 4508*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1562*j**2 + 2*j + 5. Let v be u(-5). Let s(o) = -5453*o**3 + 5*o**2 + 4*o - 1. Let y be s(-4). Let f = y + v. Round f to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 8*f + 5*f = -9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 248 + (-2 - -5). Suppose 2*w - r = 4*y, -4*w + 376 = -w - 5*y. What is the remainder when w is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 0*u + 9\/2*u**4 - 29\/2*u**3 + 0.\nAnswer: u**2*(u - 3)*(9*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 24. Suppose -g = 1, q = 3*r + 4*g - g. Solve 0 = -0*f + r*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u**2 - 5252 - u**2 - 5288 - 5286 + 15826.\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181938732.\nAnswer: 2, 3, 311, 48751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k + 83*k + s + 17 = 0, -18*k - s + 52 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236299 - 22073 = -36*o. Let l = o + -3078. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188017 + 188017 + 28*n.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:44 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472*r = 1404*r + 9928. Calculate the remainder when r is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671, -1340, -2023, -2726, -3455, -4216?\nAnswer: -5015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*b*v**2 + 2*b*v - 34*b wrt v?\nAnswer: 30*b*v + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 - 5)\/3)\/(1\/(-3)). Find the common denominator of 7\/15 and b\/22*(-282)\/9.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -5\/21*k**3 + 10*k + 4\/7*k**2 + 0 + 1\/42*k**4. Factor q(z).\nAnswer: 2*(z - 4)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a factor of 1711970312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 32*a + 24. Let s be u(10). Suppose -3*g + 6 = 0, 3 = -z + 3*g + 2*g. Suppose c = z - s. Solve 28 = c*o - 4*v, 3*o = 5*v - 2 + 34 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-29)\/87?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, l: 1, v: 2, a: 3, q: 3, o: 1}. What is prob of picking 2 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 3, g: 4, t: 5}. What is prob of picking 2 g and 1 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 8*m**5\/3 + 740*m**4\/3 - 2368*m**3 - 23672*m**2\/3 + 16696*m\/3 + 4444 = 0.\nAnswer: -101, -3, -1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - u = -4, 46*u - 47*u - 20 = -3*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*o - 8 = -0, -o - 2 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j + j + 8*j + 11*j - 1 - j + 2*j.\nAnswer: -15*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 5*b**2 - 6*b - 7. Let c be i(-6). Let a(f) be the third derivative of f**5\/60 + 5*f**4\/24 - 8*f**3\/3 - 23910*f**2 + 2. Give a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*c**4 + 145*c**3 - 111*c**4 + 35*c**4 + 35*c**4 + 118 + 91*c**3 wrt c.\nAnswer: -4*c**3 + 708*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from uguuuuuuuuuuuuur.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 22*j**2 + 52\/3*j**3 + 43 - 24*j - 28\/5*j**5 - 11*j**4. Find c, given that k(c) = 0.\nAnswer: -2, -1, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52553 take away 83.54?\nAnswer: 52469.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*(-22620)\/783*5\/(25\/(-6))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -37, -55, -91, -151, -241?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + c - 2*c, 3*v - c - 8 = 0. Suppose -g + 8 - 1 = 0. Let x = g - v. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 733*y**2\/2 - 827. Let b(f) = -2*f**2. Calculate k(b(n)).\nAnswer: -1466*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6714939 is divided by 1635.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 3360.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003147129 to seven dps.\nAnswer: -0.0003147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-3 + 2)\/(-6). Let n = -14 + 14.5. Which is the second biggest value? (a) n (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/2523 (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let w(t) = 2478*t**2. Determine w(q(f)).\nAnswer: 2478*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216.5 - -215.5. Suppose 3*p = -0*d - 4*d - 259, 4*p - 5*d = -304. Let n be p\/(-144) - 2\/4. Are n and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 31927581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(76))\/sqrt(4))*3.\nAnswer: -3*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -125\/3, 0.3, -5\/6, -3, -1.92?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 486 + -36?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - -8. Let i(j) = 29*j + 111*j - x*j - 2. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 100. Suppose -5*f = v, -n - 16 = -3*f - 89. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2 - 1 - 2 + m**2 + 3*m**2 - m. Let f be a(-7). Calculate the highest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 4*o + 4. Let b(t) = 4*t + 1. Let y be b(1). Let h(n) = -n + 4. Let x be h(0). Let k(w) = -2*w**3 + 5*w - 5. Give x*k(j) + y*p(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 4 = -44. What is the nearest to 2\/3 in 0, b, -98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2188*y**2 + 10*y - 2. Let s(k) = 4375*k**2 + 20*k - 5. Let q(w) = -2*s(w) + 5*t(w). Let h be q(6). Round h to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166236515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 3501736.\nAnswer: 3501735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -501, -229, 41, 309, 575, 839?\n\"Answer: -v**2 + 275*v - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158.3 - 153.3. Let n = 10 + -10.8. Sort 2, n, -5, k in ascending order.\nAnswer: -5, n, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1690 = 12*b - 1834 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:12 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 1102242?\nAnswer: 1102224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:57 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 10. Let h = f - 2. Let d be -2 + (1 - h - -15). Calculate the highest common factor of 104 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*m + 1, 0*y - 3*y = -3. Solve 1 + m = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9715.\nAnswer: 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d**2 - d**3 - 24 + 49 - 20 + 5*d**2 - 2*d**2. Is h(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64*0.0225.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -2*t. Suppose 0 = 2*o + 60 - 560. Let l be o\/65 - 8\/(-52). Sort t, l, 2 in decreasing order.\nAnswer: l, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = -1. Let o be -1 + i\/(-3) - -9. Let s be (-30)\/42 + o\/14. Which is the smallest value? (a) s (b) -0.2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i + 33 = -22*i. Solve -m + 4 = -i*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 26*a + 3. Calculate h(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172 - 0?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose b + 30 = 4*b + 3*i, 0 = -b + 3*i + x. Suppose f = 5*f - b. Calculate the remainder when 5 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iggigiiggiigg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 201628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32332697623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24352\/59 or 412?\nAnswer: 24352\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(4\/(-8)). Let i be 5\/w - (0 - 3). Suppose 2*p = -5*b - 5, 0 = -5*p - 9*b + 4*b + 10. Sort -5, p, i in increasing order.\nAnswer: -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4*w)\/w)\/(w**(-3\/2)\/w)*((w\/(w\/w**(-2\/7)))\/w)**(-3\/5)*(w*w**(-3\/7)*w**(-3)*w*w)\/(w\/(w**(-2\/7)*w))**(-10\/9) assuming w is positive.\nAnswer: w**(101\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*u + 65, -2*n = -0*n + 2*u - 32. Solve 5*h + 0*h = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81953 less than -0.5757?\nAnswer: 81952.4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.8. Let n = 14\/13 + -83\/65. Let o = 4 - 4.3. What is the closest to f in n, o, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/52920 and 9\/40.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + w. Suppose 2 = -2*t + 4. Let p be h(t). What is the third derivative of 0*u**2 - 3*u**2 + 2*u**2 + u**4 - 2*u**p wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 8 = 797*v - 795*v, v - 4*q = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238431\/40 + 5959. Find the common denominator of h and -59\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2791 - 11219\/4. Let v be 2\/(-6)*(12365\/12545 + -1). Let z = -253169\/50180 - v. Calculate the common denominator of t and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129078 greater than 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 17 + 22 - 40 - k to a*k + c + x*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 1. Let h be t(1). Suppose 4*l + q - 33 = 0, -30 + 1 = -h*l - 5*q. Let o(z) = -2*z**3 - z**2 - z - 6. Let g be o(-2). Is l >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 60074 = 5*n + 57360 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1215)\/(-12)*(-36008)\/(-27006)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l - 7. Let a(d) = -3*d + 6. Let t(i) = -9*i + 19. Let h(p) = 7*a(p) - 2*t(p). Let m(q) = -5*h(q) - 2*z(q). Give m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6 + 1 - u**3 + 3*u**3 to c*u + j*u**2 + t + s*u**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/23)\/c)*c)**(1\/4)*(c**5\/c)**(-38) assuming c is positive.\nAnswer: c**(-6957\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*y = 3*u - 16, -3*u + 4*y = -26. Solve 0 = u*i - 0*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*h**2*u**4 + 16*h**2*u + h**2 wrt u?\nAnswer: -684*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*h - 4*w - 18, -h + 2*w = 1. Sort 0.02, h, -2.\nAnswer: h, -2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -8, -2, 2 in descending order.\nAnswer: 12, 4, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose a*s + s - 25 = 0. Suppose -2*x + 4 = 4*u, 3*x = 4*u - 2*x - 32. Solve -8*j + u*j = -s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 49406760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/489 - -461\/3423. Which is smaller: -38 or n?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 110\/40 - 2\/(-8). Suppose -l*o = 28 - 34. Let n(h) be the first derivative of -h**4\/4 + h**2\/2 - h + 2. Determine n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5883974 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 15, 30, 51?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h - 309. Let m be (782\/207)\/(1\/9 + 0). Calculate c(m).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76073715?\nAnswer: 3, 5, 59, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/99375409 and -35\/9.\nAnswer: 894378681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/3 + 43*i**2\/3 - 59*i\/3 + 4 = 0. Calculate i.\nAnswer: -12, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4852 - 0.0148. Let a = l + 3. What is the second smallest value in a, -5.9, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16602, 16606, 16600, 16578, 16534?\nAnswer: 16462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7098537 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -439 in decreasing order.\nAnswer: 3, 0, -2, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpq when three letters picked without replacement from cepwvevvevvvvwcwqvwp.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4830660 and 53\/30834.\nAnswer: 14491980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65 times 1\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1750068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 710126089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxkk when four letters picked without replacement from vkxgkkhvkgvx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (533*w + 572*w + 13 - 1141*w)*(-w**2 + 3*w**2 - w**2).\nAnswer: -36*w**3 + 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26568 + -26812.98. Let t = 245 + b. Suppose 3 - 2 = h. What is the smallest value in -2\/7, h, t, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 5*g - 2*s, g = 2*g - 2*s + 38. Does 16 divide g\/171 - 3\/(54\/(-6340))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4109256861.\nAnswer: 3, 139, 211, 46703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, 1\/11, 3, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Suppose 4*o + f*v + 1790 = 0, -669 - 672 = 3*o + v. Is 10 a factor of (-3)\/(-21) - o\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 77*v + 1476. Let s be a(-39). Let k(o) = -2*o + 2. Let q be k(6). Does q = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/3)\/(h*h**(-26)*h) assuming h is positive.\nAnswer: h**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y**3 + 58*y**3 - 179*y**3 + 60*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -2b?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(84) - -2*sqrt(84))\/sqrt(12) - sqrt(7) - (1 + sqrt(7) + 5))**2.\nAnswer: -24*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*(-6)\/(-27))\/((-4)\/42). Find the second derivative of 36*b**3 + 41*b**2 + 7*b - 80*b**2 + 38*b**2 + d*b**3 - 3 wrt b.\nAnswer: 300*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let v be i\/(-2)*(-6)\/(-7). Let a = -1037 - -1035. Is v < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166 = l - 243. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014925504 to 6 dps.\nAnswer: -0.014926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n - 40*n - 10 + 20*n - 17*n.\nAnswer: -49*n - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41424 (base 5) in base 16?\nAnswer: ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 153, 629, 1423, 2535, 3965?\n\"Answer: 159*t**2 - t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -2155.15.\nAnswer: -2155.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 5:59 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppxuuxpxppx. Give prob of picking 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14b8 - 2?\nAnswer: 14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j*j*j**25)\/j))\/(j\/(j*j\/(j\/((j*j*j**21)\/j))*j)))**(3\/14))**(-1\/56) assuming j is positive.\nAnswer: j**(9\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8041, 115, -3, 1 in decreasing order.\nAnswer: 115, 1, -3, -8041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + -155. Let l = -111 - x. What is the remainder when l is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42187*d**5*v - 2*d**2*v - d**2 - 2*d*v - 49*d wrt d.\nAnswer: -2531220*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 11*q**2 - 4*q + 2. Let p(m) = 2*m**3 + 12*m**2 - 5*m + 3. Let g = -1341 - -1345. Calculate g*p(s) - 5*c(s).\nAnswer: -2*s**3 - 7*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) -0.1 (c) -2\/7 (d) 3\/5 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 19. Let o(u) = u + 2. Let h(i) = 4*c(i) - 36*o(i). What is the units digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*i + 58 = -120, -4*f + 2*i = 242. Let x = f - -40. What are the prime factors of x\/(-4 + 1) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let i(a) = a**3 + 1. Let d be i(q). What is the units digit of (-1)\/(d*2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -489637.5407 + -148\nAnswer: -489785.5407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 o when three letters picked without replacement from {o: 2, l: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 189*1*(-6)\/(-9). Let a be (-2)\/9 + 532\/j. Suppose g = 5*c - 1260, c - a*g = 5*c - 984. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(-7*(-6)\/84).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 5*k + 4. Suppose -s + 3 - 1 = 0. Let d be (-3*6)\/s - -4. Let g(c) = -11*c - c**2 + 5 + 5*c + 0*c**2. Determine d*w(f) + 4*g(f).\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - 25\/10. Let a(p) = 2*p**3 + 3*p**2 + 4*p - 5. Let x(y) = 2*y**3 + 2*y**2 + 3*y - 4. Let h(v) = -v. Let s be h(-4). Give n*a(b) + s*x(b).\nAnswer: 2*b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5\/4 + 713*t**4\/4 - 434*t**3 + 145*t**2 = 0. What is t?\nAnswer: -145, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((30\/15)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(240))\/(-3*sqrt(6)\/sqrt(2)*-3).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001336 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -22\/97, -120, -3 in increasing order.\nAnswer: -120, -3, -22\/97, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 7*g**2 + 4*g - 8. Suppose 0 = 4*s - s + 18. Let p be r(s). Solve -7 = q - 4*n, -p*n + 30 = 3*q + n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 1 + 0 + ((sqrt(63))**2 + -4)*6.\nAnswer: 3*sqrt(7) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 2, 1\/4, 10382?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2)\/((-6)\/(-45)). Let b = -9 - p. Suppose 0 = 2*f + b - 38. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (4 + -5)\/(2\/8). Solve 5*t - r - 3 = y*t, 2*t - 2 = 5*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1779 - 1779.4862. What is f rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*k + 20, -5*w = 2*k - 10 - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 547241766 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -8\/5, -32\/19, 1945?\nAnswer: 1945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/6)\/k**2)\/(((k**(1\/3)*k)\/k)\/k)**16*(k**(-2\/5)\/k**(1\/3))**37 assuming k is positive.\nAnswer: k**(-529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1897476324323\/11475 + -165357414. Let a = 2\/459 - r. Let v = 701.9 - 702. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2101 and 61\/1719?\nAnswer: 18909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103.899382 - 103.9. Round h to 5 dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2388385 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1068 and 80.\nAnswer: 85440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 76 - 10. Let z = 16 - 7. Calculate the remainder when q is divided by z + -8 + 3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1015*d*x**3 - 5*d*x**2 - 39503*d - 8 wrt x?\nAnswer: 3045*d*x**2 - 10*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w**4\/5 + 122*w**3\/5 + 374*w**2\/5 - 138*w\/5 = 0.\nAnswer: -3, 0, 1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3115*j - 2614*j - 5986*j.\nAnswer: -11715*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/7 - (4 + -2). Let k = 0.21 - 3.21. Which is the smallest value? (a) -4 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1388, 1386, 1382, 1376?\nAnswer: 1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.1 (b) 0.01 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5427 and 76246?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253754387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114044 + 162044. What is g rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-95)\/(-3) + (-1)\/(-3). Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 266, 2 in descending order.\nAnswer: 266, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/8, -7.831, -2\/3?\nAnswer: -7.831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqlqqqqlqq. Give prob of sequence lllq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.052 + 0.01. Let w = -2.258 - r. What is w rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.318978 rounded to one decimal place?\nAnswer: -148.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-606 + 606 - 25*l)*(0*l**2 - 2*l**2 + 0*l**2) - 32*l + 3*l**3 + 32*l.\nAnswer: 53*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = -140. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 352 - 315 + 33*i - 33*i.\nAnswer: -i**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/64 and -79\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 15202838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -20272783\nAnswer: 60818349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061*38.48.\nAnswer: 2.34728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 1, g: 1, m: 12, e: 2}. What is prob of picking 1 g and 2 m?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.936 - 1.936. Which is the closest to 0? (a) 1\/44 (b) -2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/9 + 4\/6)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4d - -90?\nAnswer: add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*(91\/44 - 24\/(-132)). Calculate the highest common factor of 2964 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32398*w + 30599*w + 1834*w**5 + 1004*w**5 wrt w.\nAnswer: 56760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -35*h - 5. Let b be r(20). Let k = 2594 + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let j(n) = -559008*n. Calculate v(j(u)).\nAnswer: 312489944064*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0, -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 23. Suppose -3*r + 2*k - 75 = -424, 2*r = -k + 242. Calculate the highest common divisor of q and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*z**2 - 974*z**2 - 2522*z**2 - 1015*z**2 + 397*z**2 - 3519*z wrt z?\nAnswer: -7760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 14. Let t be a(3). Suppose -4*g - 3*n = 12, 3*g - 15 = 8*g + 5*n. Put g, t, 0 in decreasing order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -114a52 - 1?\nAnswer: -114a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 110*a. Let r(o) = o**2. What is r(v(f))?\nAnswer: 12100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-14 + 25 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -31 - 59. Suppose -4*h - 4*b = -60, -3*h + 55 = 3*b - 5*b. Calculate the smallest common multiple of 30\/4 + 5\/s*-1 and h.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-10)*-90*(-52)\/(-4914)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 42. Let p = -11 - v. Let n(w) = 3*w**2 + 6*w - 16. List the prime factors of n(p).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 4*c + 15. Suppose -3*k = -5*k. Solve 4*y = -c*j - 0*j + 10, -4*j + y - 12 = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324151594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.608894g to kilograms.\nAnswer: 0.006608894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -d. Suppose d = x + x. Suppose x*y + 0*z = -2*z + 6, -4 = -2*y - 4*z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15251 - 14808731\/971. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**30)\/(p\/(p\/(p\/p**(1\/11)))*p)*(p\/(p*p*p*p**(2\/55)))\/(p\/p**(11\/5)))**(1\/6) assuming p is positive.\nAnswer: p**(1609\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 163 = -111. Suppose 556 = 4*w - 268. Let q = w + c. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 + 10*b + 15*b - 1 to the form m*b + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986933 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**2 - 123*n - 29\/15*n**6 - 23\/2*n**4 + 0 + 0*n**3 + 0*n**5. Find the third derivative of k(s) wrt s.\nAnswer: -1392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 9821?\nAnswer: 9817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340204242 (base 6) to base 14.\nAnswer: b6a590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9260 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13623520 divided by -12\nAnswer: -3405880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 4*x. Let c = -14 - -18. Sort x, -5, c in ascending order.\nAnswer: -5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 9*v - 7*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6610*s**3 + 4*s**2 + s. Let q be o(5). Let b = 393859 - q. Suppose -z = z - 2*x - 1219992, 2*z = -x + b. What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -127*q**3 + 13*q**2 - 11*q + 22. Is w(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 4\/(-162))\/((-84128)\/97512) and 109\/88?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -501175\/56 - -68361\/8. Is -405 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369088 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 y when three letters picked without replacement from {a: 7, r: 1, w: 3, y: 3, s: 1, n: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567\/243 - (-2)\/(-6)) + -13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is be1 (base 16) in base 14?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59461500 is divided by 2477562?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-27) - (1\/(-7) + (-1344022)\/(-236628))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 21*q - 37. Let s be y(-23). Solve 5*c + 24 = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87933830.51 rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 2 + 158*t**3 - 77*t**3 - 80*t**3 - t. Let z be q(4). Let j be (-2)\/(-2) + 1 - -13. Calculate the highest common factor of j and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56701 + 3?\nAnswer: -56676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -157, -375, -493, -505, -405, -187, 155, 627?\n\"Answer: s**3 + 44*s**2 - 357*s + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, 20, 4, -1, -4 in increasing order.\nAnswer: -4, -1, 0, 4, 18, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 90 - 131 = -3*x, 383 = 5*x + 4*j. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2381*h**2 - 1122*h**2 + 2753*h**2 + 349*h**2.\nAnswer: 4361*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:44 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/9 - 20*k\/9 + 22\/9 = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 3*r - 10*r)*(3*r - r + 0*r) + (0 - 5 + 3)*(-r + 2*r**2 + r) to the form l*r**2 + m + t*r and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 137 (c) -7179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/(-7) + 1*-1. Let s(u) = 3*u - 19. Let p be s(t). Is 6 a factor of (-119 + 47)\/(3\/2*p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341154 (base 6) to base 14\nAnswer: -a6d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 235. What is the least common multiple of c and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1248673*a**3*c*r - a**2*c*r - 2*a**2*c + 3*a**2*r - 13*a**2 + 242*c*r + 2*r wrt a?\nAnswer: -7492038*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*v + 24, r + 0*r = -5*v - 21. Suppose -4*p + 36 = 5*i, -3*p - 2*i + 50 = -r*i. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 0, -b + 10 = 4*f - 0*b. Put 0, -2, f, 3 in descending order.\nAnswer: 3, f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008996 to 5 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 8*g - 6. Let u be d(-6). Suppose -3579 = -u*v + 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 34) + (-68 - 24) + 20\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155652625342972547\/23850 - -13052631029939\/2. Let c = n + 325938\/25. Let u = c - 2\/265. Which is bigger: u or -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 64\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12*2)\/((-66)\/18 - -3). Is (532\/3)\/(s\/(-54)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 20 = 17*g. Is 6 a factor of (8\/g)\/((-2)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 155421584.\nAnswer: 155421583.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 - -330. Let r be ((-35)\/(-7))\/((18\/(-4))\/m). Solve -b - 11 + r = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14979 and 624125.\nAnswer: 1872375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/4, -4\/7, 0, 1, 0.5, 937\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 6*f - 14. Suppose -5*m + 8 + 32 = 0. Suppose m*r + 9 = -47. Does 14 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103858?\nAnswer: 2, 3051929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 = 3*o + u, 0 = 5*o + 3*u + 45. Let p = 18 + o. What is the smallest common multiple of p and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736881 is divided by 184167.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from xxxxxuxxux?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 - 13*q**3\/3 + 15*q**2\/2 - 16*q - 2. Calculate the remainder when 38 is divided by t(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-4 - -9 - (14 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 216 and -38.5?\nAnswer: -8316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52430 = 33*g + 51440 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1661 + 278696827.\nAnswer: 278696826.8339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 578 = 97*k - 5476. Calculate the highest common factor of 5766 and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -2.54, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, v: 2}. Give prob of picking 1 v and 3 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3 + 3 + (-3 + 3 + d)*(-2 + 1 + 3) + d - 1 + 1 + 2*d + 3*d - 4*d - d + 2 - 2 - 1 + 1 - 7*d)*(-13 + 105 + 5)*(-2 + 8 - 3).\nAnswer: -1746*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112.72 - -111. Let t = o + 0.11. Let l = t - -1.31. What is the closest to 1 in 0.4, l, -24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = 7*s + 134 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - -21 - 61) + -56.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237213.\nAnswer: 3, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40924 by 1574.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 135019 + 1?\nAnswer: 13501a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3552, 3539, 3512, 3465, 3392, 3287?\n\"Answer: -q**3 - q**2 - 3*q + 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/323 - -291316\/969. Which is bigger: l or 300?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*1 - (-13 - -24). Let b = z - -18. Solve 0 = -4*r + 3*f + 32, 2*r - b = -0*r - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -42*m**2 - 6*m**3 - 73*m**2 + 13*m**3 + 47*m - 1246*m - 1085 - 10*m**3. Let d(j) = j**2 - j - 1. Let l(n) = 2*d(n) - p(n). Factor l(b).\nAnswer: 3*(b + 1)*(b + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 175 = -4*w - 99, -5*s = 4711*w - 4708*w - 241 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1513 in 4, 1, 0.3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 11. Suppose 624 - 348 = 6*g. Suppose g - 11 = 7*i. Determine y(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1330*230\/(-4025)*1\/(-4)*-2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-57*-6*5\/270*-3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43890*t**5*y + 2*t**4*y + 2*t*y - 10*t - y - 2 wrt t?\nAnswer: 877800*t**3*y + 24*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = -3*t + 2*k - 22, 4*t = k + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 5, o: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 4 (c) -28 (d) -0.08 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20768366 * -0.5\nAnswer: -10384183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18398, -3, -1\/6, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 - 100. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 668809, -4, -7, 1\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*w**4 + 3\/4*w**2 - 1 + 1\/2*w**3 - w.\nAnswer: -(w - 2)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1765574 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + c**2 + 3*c - 4. Determine i(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*((-42)\/(-36))\/((-98)\/42).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**7\/42 + z**4\/4 - 7*z. What is the third derivative of f(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + 13. Let h = q + 9. Let x be 44\/(-30) - (-8)\/12. Sort h, -0.03, x in descending order.\nAnswer: -0.03, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1170 - -1182. Solve -3*d + k = y, 5*y + 2 = -5*d + 22 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 27 + -7 - (-9 + 2 - 4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10968506 rounded to the nearest 10000?\nAnswer: 10970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30366710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 171627423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 124, 117, 110, 103, 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126, -253, -380, -507?\n\"Answer: -127*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - 4*u + 0*u + 2 - 2 - 2*u + (0*u + 0*u + 2*u)*(-7 + 2 + 3) + 16*u + 24*u + 6*u - 7*u + 3*u + u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:39 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 456\/7. Let w = m - 541\/84. What is the common denominator of w and 151\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/9)\/((-384)\/(-144)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-507850)\/(-110) + ((-456)\/(-88) - 5). Solve k*v - 4609*v - 24 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 = -42. Let a = 16 + c. Let v(g) = -g**2 + a*g**2 - 5*g + 11*g. Calculate v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 less than -4?\nAnswer: -2282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189778 is divided by 10543.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -19. What is the remainder when r is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26066.4337 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*x + 1028846000 = -74*x. Round x to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x + 8. Let b be k(5). What is the smallest common multiple of 47 - -4*(-6)\/b and 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmvumc. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 45 - 33. Let i(b) be the second derivative of 0 + 2\/3*b**3 + 1\/2*b**2 + b. Calculate i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3034436 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/17411 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154647 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/42)\/(2\/(-414)). Let l = t + -126. Solve -l + 0 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715 and 3835?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 67. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*c + 159 - 1668, -20 = -5*c. Suppose k + 51 = 5*w. What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -224966*x**2 - 40221 wrt x.\nAnswer: -449932*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 5*r - 21\/4.\nAnswer: (r - 21)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388832416 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023806001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*(-4 - 16\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101314 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4279085346 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 + 0) - -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811858 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 572*k + 572*k + (3*k - 3*k + 2*k)*(3*k + 0*k - 4*k) + 4*k**2 - 2*k**2 - k**2 + (-k + k - 2*k)*(-3*k + k + 4*k) - k**2 + k**2 - k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -82. Let n be (t\/(-7) - -5)\/2. Sort n, 5, 0.\nAnswer: 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71718192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 59*j + 244. Let m be n(-4). Solve 4*c - d = -m, 5*c + 3*d + 24 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33561654 by 7.\nAnswer: -4794522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35*(14 + 0)\/(6 + -1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -7*2\/6 + 56\/(-588). Which is the nearest to 0? (a) y (b) 4 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/18 - (-14)\/36. Let k = z - 49\/72. What is the closest to -0.1 in -4\/5, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.54145 from -487310455.\nAnswer: -487310455.54145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/(30\/45). Suppose p*g - 182 = k, 2*g + 0*k - 178 = -k. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 13 + 19. Suppose -5*r + 4*p + l = 0, -3*r + 4*p + 8 = 2*p. Factor 3\/2*b**2 + b**3 - 1\/2 + r*b.\nAnswer: (b + 1)**2*(2*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 + -3 + sqrt(396) + -5)**2*2 - (5*(sqrt(66) + sqrt(66)*3) - sqrt(66))\/((sqrt(6) - (sqrt(6) + sqrt(24) + sqrt(6)))*-1).\nAnswer: -1171*sqrt(11)\/3 + 3296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2842*c - 116555. Give j(41).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332270, 332802, 333332, 333860, 334386, 334910, 335432?\nAnswer: 335952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w + 2. Suppose -2*y + 5*y + 27 = -3*s, w*s + 17 = -3*y. Calculate the common denominator of -37\/22 and 4\/s - (-287)\/30.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4918, 36900, 123016, 290338, 565938, 976888?\n\"Answer: 4512*a**3 - 5*a**2 + 413*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, 3.045, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 157 times -94073\nAnswer: -14769461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1778 = -73*t - 83*t + 2278. Suppose -213 = -x - 52. Suppose x + t = h. Is h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 4:33 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5982 - 4587. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**20))*d*d*d\/(d**(1\/2)\/d*d*d))\/(d*d*d**(-3\/7)*d*d**(-6\/13)))**(-3\/4) assuming d is positive.\nAnswer: d**(-11133\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39254854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13780 (base 15) to base 14.\nAnswer: -18a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 + 2)\/((-18)\/(-1080)). Suppose -4*r + 980 = d, -5*r + 6*d + m = d. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163321310 to the nearest 100000.\nAnswer: -163300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3093, 6335, 9567, 12783, 15977?\n\"Answer: -k**3 + k**2 + 3246*k - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5\/13, -106, -2.75, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/36 + 10*r**3\/27 + 17*r**2\/18 + 8*r\/9 - 180. Factor t(i).\nAnswer: (i + 1)**2*(i + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(11) + 3 + -6*3*sqrt(2).\nAnswer: -17*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108121 is divided by 21612?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 353359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21*p*(p\/(p*p**31))\/p)\/(p*p**(-17\/2))**(2\/91) assuming p is positive.\nAnswer: p**(-895\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -18, 0, 0.07.\nAnswer: -18, 0, 0.07, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*v - u + 13, 3*u = 5*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*t**2 + 4 - 4 + 23*t**3 - 25*t**3 - 66*t**2 - 424*t**2.\nAnswer: -2*t**3 - 228*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1901*v - 54727*v - 16655*v.\nAnswer: -69481*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-4)\/(-6). Let q(m) = m**3 + 11*m**2 - 4*m - 21. Let v be q(-11). Suppose 16*w = v*w - 35. Solve 0 = -w*l - y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(76) - -6*(1*sqrt(76) - sqrt(76)))\/(3*1*(sqrt(144) + sqrt(144)*-3)).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + (sqrt(143) + -3*(sqrt(143) + (sqrt(143) - 2*sqrt(143))))\/(sqrt(1331) + sqrt(1331)*-3 + sqrt(1331) + sqrt(11))))**2 + 1.\nAnswer: 16*sqrt(13)\/5 + 477\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -109, -5 in decreasing order.\nAnswer: 0, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5 - 5*g**2 - 6*g**2 + 12*g**2 - 2. Let w(c) = 4*c - 2. Let x(h) = 9*h - 4. Let f(r) = -7*w(r) + 3*x(r). Let j be f(2). What is a(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3550 and 34577?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j + 123. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5536779257.\nAnswer: 5536779257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -25*r**3 - 1640*r**2 - 26565*r + 10888. Let i(u) = 1. Let y(a) = -d(a) - 2*i(a). Find n, given that y(n) = 0.\nAnswer: -33, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5*r**4\/12 - 14*r**3\/3 - 47*r**2. Let k be m(-9). Suppose -33 - k = -5*t. Calculate the remainder when 65 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -21 + 4 + -1 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6338770180 less than -3?\nAnswer: -6338770183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*r**2 - 4\/5*r + 0.\nAnswer: -2*r*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 35 = -36 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1904 divide 26496645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 401.4 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006087 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 5cb9b?\nAnswer: -5cb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 6?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - 2. Suppose -817 - 8 = 5*j. Let t be 4\/(-16) + j\/(-20). Suppose 8*a - t = -24. Let p(v) = 21*v**2 + 15. Calculate a*p(r) - 15*m(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 38, 72, 86, 74?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204994 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/9 - 2\/3. Let p = 19 + a. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/630)\/(252\/(-90))*(-32)\/28.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-4)\/16 - 18\/(-4671). Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 7919067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab (base 16) to base 6.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + (-95)\/10. Let a = -6 - q. Solve -5*c - 1 - a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 37 = p - 5*k, 0 = 2*p + 4*k - 36. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = 80*s - 136 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4119.7803 - 4120. Round q to three decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.57*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let x(j) = j**3 - 30*j**2 + 3. Let o be x(30). Differentiate c - 2 + 6 - 11*w**o wrt w.\nAnswer: -33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/((-40)\/10))\/(9\/(-99))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 207059.1.\nAnswer: 207058.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 - 189. Let m = u - -449.3. Round m to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 1 + 4. Let c be (-7)\/((m - -3)\/50). What is the units digit of c\/(-14) - (-6)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*o**3 + 1 + 218*o**3 + 689*o**3.\nAnswer: 1162*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36581 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -230, -586, -1242, -2348, -4054, -6510, -9866, -14272?\n\"Answer: -25*b**3 - 181*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/280 - 3*g**3\/2 + 9*g**2. Let z(p) be the first derivative of u(p). Suppose z(o) = 0. Calculate o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*a - 8*a + 2244. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*v = 131*v + 5*w, w - 8 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485934, -486348, -487034, -487992, -489222, -490724?\nAnswer: -492498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11423991 less than -0.38?\nAnswer: 11423990.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1762*v + 45806. Calculate w(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118*-0.5\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -2\/3, 1\/4, -0.5, 2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.4, -1\/6, 0.9 in descending order.\nAnswer: 0.9, 0.7, 0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 3*b + 18. Let w be v(-6). Suppose d = -3, -2*q + 2*d - w = -4*q. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**0))**(7\/2))**(2\/29))**6 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11961.8994 + -11887.299993. Let i = 74.6 - b. What is i rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 2, s: 3, n: 12, o: 1}. What is prob of sequence bn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-340)\/(-14) + (-32)\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*x - 66*x + 46 = 2*o, -16 = -o + 4*x. Let s = -64 + 100. Calculate the greatest common divisor of s and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 = 66*v - 28 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3954776476 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*s + 5*s = 5893, -5881 = -f + 5*s. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(1 + 2 - 4)*(-l**5 - 2*l**2 + 2*l**2 + (-10*l**3 + 9*l**3 + 12*l**3)*(7*l**2 - 4*l**2 + 0*l**2)).\nAnswer: -32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 1376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -60, 2, -65 in descending order.\nAnswer: 2, -3, -60, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1591*v - 3. Let d be z(-1). Let f = d - 947. Suppose q - f = -0*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 89, 81, 71, 59, 45?\n\"Answer: -u**2 - 3*u + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a432?\nAnswer: -a434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 4420*o**2 + 4426*o + 8844.\nAnswer: -2*(o - 2)*(o + 1)*(o + 2211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/(-10))\/(24*(-44)\/(-2640)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -652130*0.26.\nAnswer: -169553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 874790879 greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/280721 and 83\/4410?\nAnswer: 25264890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*d + 116 + 2334 = 0, 5*c - 4*d - 6092 = 0. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4950 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 - 567*i**2 - 19 + 15*i - 17*i + 16 + 18*i wrt i.\nAnswer: -1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -38. Suppose -12 = y + 2*y. Let v = 103.7 + -104. Which is the third biggest value? (a) y (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893009991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*t**3 - 9*k**3 - 2*k*t**3 - 2*t**3 - 3*t**2 wrt k.\nAnswer: 12*k*t**3 - 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1170 at least -1172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -1.34. Let r = -2.57 - s. Round r to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*15.094514.\nAnswer: -3.0189028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/105 + 3*y**6\/20 - 6*y**5\/5 - 19*y**2 + 9*y. Let b(x) = 0. Calculate x.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/2 + -119)*-1. Let d = 181 - i. What is d rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -972 (b) 0.4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.61 + -2.39. Let r = -0.019 + -43.481. Let l = t - r. Which is the third biggest value? (a) l (b) -2 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 7, u: 7}. Give prob of sequence quuf.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 2, r: 8}. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -6, 1267, -1, -2 in ascending order.\nAnswer: -6, -2, -1, 3, 6, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4164\/(-1735) - 370\/(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1124, -3, 4, -4, -2 in descending order.\nAnswer: 4, -2, -3, -4, -1124","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/3, 0.2, 1, 7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18218 = -1624*b - 14262 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41743 divided by -36\nAnswer: -41743\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 24*z**2 + 27*z - 45. Let a be b(25). Suppose a*r - 2*u = 766, -r + 3*u + 617 = 3*r. Which is greater: r or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740295 divided by -3?\nAnswer: 246765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8678112, -17356221, -26034330, -34712439?\n\"Answer: -8678109*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 + 52*z**2 + 92*z + 44 = 0. Calculate z.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 9*c**2 + 9*c - 4. Let y(d) = 4*d**3 + 10*d**2 + 10*d - 4. Let t(p) = 3*a(p) - 2*y(p). What is the remainder when 43 is divided by t(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -54. Solve 0*i - a = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = -24. Let a be (-34)\/(-8) + 3\/i. Suppose 16 = -0*u + a*u + 5*d, -3*d = -u + 4. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 4)*(2 - (-91)\/(-42))*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/6 + -2)*0. Suppose -18 = -3*b - 0*b. Suppose f = -5*z + 2*z - b, z + 54 = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11771726 and 0.4.\nAnswer: -4708690.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 618 (b) 4263 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.44\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 63737113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by -34\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(6\/18*27\/1*1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*((-18)\/(-54))\/((-2)\/6). What is the least common multiple of (t + 1)\/(-2 - -3) and (-1)\/2*(3 + -33)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + 1 - (14 + -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -136. Solve 4*m + 5*k = 4, -m - 10 = -s*k + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021477 to five dps.\nAnswer: -0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8133*y**2 - 8133*y**2 + 580*y**3 - 119*y**3.\nAnswer: 461*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-17 - -46) + -26 - 10\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002088209 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and -67\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) -196260.91 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 4606*c**2 - 18400*c + 18392.\nAnswer: -2*(c - 2299)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + (-4 - 0) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d + -1?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*q + 35 + 44 = 0, 0 = 3*s + 4*q - 61. Suppose -b = 3 - 8. Suppose b + 4 = k. What is the greatest common factor of s and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 8*q + 4. Let t(a) = a**2 - 2. Suppose 171*y + 29 = 168*y + 5*o, 12 = 3*o. Let v(r) = r**3 - 2*r**2 + 3. What is q*v(k) + y*t(k)?\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 8. Let y be l(5). Let c(d) be the second derivative of 173*d**3\/3 + d**2 + 18*d. Let t be c(y). Round t to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.4. Suppose -16 = -4*m, -j = -5*j + 2*m. What is the closest to 7 in 1\/2, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3487 and -7.\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166786 + 5?\nAnswer: -166781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 1245. Let b(s) = -s**2 - 4*s. Let n be b(-2). Suppose 332 = n*q + 3*z, z = 3*q + 2*z - p. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 464 = 1571. Let a be (4 - (c - -1)) + -2 + 2. Let j = a - 125. Solve f + 3 = -j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = b - 3, -21 = -2*b + 5*g. Let r be 2\/b + -1 + 5. Solve i + r*k = -2*i - 27, i = -5*k - 29 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 523364172.8 + 2.\nAnswer: 523364174.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -2c?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1216\/18 + 6)\/(-14). Let d = -36\/7 - f. Which is the closest to d? (a) -2 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.65 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/13 and 296\/177 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from mhmmmmmmmhmmmmh.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s. Let u be f(4). Suppose 2*n + 9 = 3*k + 37, 0 = 4*n + 3*k - u. What is the least common multiple of 135\/6*n\/10 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1104669 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4236746032.830007 + 4236755130. Let b = -9097 + l. Let p = b + -0.17. Round p to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-5))\/(-3)*((-738)\/108)\/(-41).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1628 and 1171346.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 40. Let b = -7 + s. Solve -b*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 155 (b) 5\/7 (c) 3 (d) -3 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 19*l**2 - 18*l + 45. Determine n(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 982231211366 and -9.\nAnswer: 982231211357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 387, 840, 1293, 1746, 2199?\n\"Answer: 453*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4594968 or 4594969?\nAnswer: 4594969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f + 3*f - 8*f - 2*f in the form k + c*f and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 220*o - 1464 = 0. Calculate o.\nAnswer: -61, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2684 less than or equal to -29526\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4*k - k)*(-5*k - 8*k - k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from yyzohhvoyoozyzoyho?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2 + 5 - 2)*(2 + 1 - 1)*(-4*d + d + 0*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1630 - 1866 + 920 + 1340*s**2 + 3*s wrt s?\nAnswer: 2680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03191 times -2.1?\nAnswer: 0.067011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 18208232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 0 = -4*y + j + 26. Let g = 78 + -50. What is the greatest common factor of y and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 5*u**7\/14 - 7*u**4\/4 - u**3\/2 + 62*u. What is the third derivative of z(m) wrt m?\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 6*k + 3*k)*(-38*k + 2*k**2 + 2*k**3 + 37*k - 5*k**3).\nAnswer: 3*k**4 - 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-138)*-12)\/(-2 - -9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3037 - -583. Calculate the highest common divisor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-70)*(-10 - -4). Factor -z**2 + 1\/3*z**4 + 1\/3*z - 1\/3*z**c + 2\/3.\nAnswer: (z - 2)*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q - 11*q - 5*q**3. Let y be u(-1). Suppose -c - 4*b + 3 = -2*b, -y*c = -4*b - 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2. Let k(i) = 14*i**2. What is j(k(m))?\nAnswer: 1176*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-9) + 10\/(-3). Let f = -93.1 - -93. Which is the nearest to -1? (a) -4 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100612, -201183, -301752, -402319?\n\"Answer: t**2 - 100574*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -490 (b) 2\/13 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9535033 to the nearest integer?\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(1\/3)\/d*d*d**(-5)*d)**(-30))**(-16))**(-32) assuming d is positive.\nAnswer: d**25600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + w + 13. Calculate u(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 2006379289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6811 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -36. Sort -2\/7, 2\/3, a, 2 in ascending order.\nAnswer: a, -2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrmy when four letters picked without replacement from myzur?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 5*g + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389612 by 772.\nAnswer: -97403\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:15 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363814?\nAnswer: 2, 11, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12191 is divided by 640.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(30\/(-12))*30\/12. Solve 0 = a*h - 5*j + 20, 12 = -2*h + 6*j - 8*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(180) + 1 + -1 + 1)*-5)**2.\nAnswer: -1500*sqrt(5) + 5125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22388841 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502077 (base 9) to base 10.\nAnswer: 296773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 62*k + 140. Let x be n(-60). Solve x = 6*z - 16 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76597\/5082 + -314\/21. Find the common denominator of -15\/242 and j.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d - 172. Let q be t(-15). Let w(f) = 8 + 1 + f + 9. What are the prime factors of w(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 3. Suppose 9*d + 55 = 4*d. Let k = 5 + d. Give j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (405*l**2 - 350*l**2 + 219*l**2)*(4 - 3 + 1).\nAnswer: 548*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5a01 - -5?\nAnswer: a5a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)\/(k*k**(1\/27)))\/(k*k**15\/k*k**(-1\/5)) assuming k is positive.\nAnswer: k**(-15506\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(2*r + 0*r - 6*r)*(-r**2 + 2*r**2 - 3*r**2) as f*r + v*r**2 + s*r**3 + m and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3122*w**2 + 246*w - 246*w.\nAnswer: -3122*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 15*f - 12. Give n(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003744476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1447465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/17*r**4 - 18\/17*r**3 - 2\/17*r**5 + 0*r**2 + 0*r + 0.\nAnswer: -2*r**3*(r + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -53) + -45 - -20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 6, 33024, 1\/5, -0.1 in descending order.\nAnswer: 33024, 43, 6, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 3293292993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (13 - 7) - -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1291*b**3 + 224*b**3 - 275*b**3.\nAnswer: -1342*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22401.7 rounded to the nearest one hundred?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -363616 <= -363616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:01 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 60*u + 33*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/((-1)\/(-16)). Let l be 9\/4*f\/3. What is the units digit of (-28)\/l*(-6)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 5*t - 4*t)*(1 - 1 + 2) - 2*t - t - t + 3*t - 2*t - 2*t + (-19*t + 3*t - 6*t)*(1 + 1 - 1) as p*t + i and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -75. Suppose t*z + 2*h - 29 = -5, 0 = -z - 3*h + 11. What is the greatest common factor of z and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 28*v - 1. Let w(i) be the third derivative of i**5\/15 + i**2 - 96. Determine p(w(k)).\nAnswer: 112*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -138252*d - 2 + 138239*d - 3. Give q(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 17. Let a = -12 + 24. Let d be y(a). Suppose 0 = 3*j - d*j + 256. Calculate the greatest common divisor of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4)*(-28)\/35. Suppose 5*x - v*u - 45 = 63, 4*x - 2*u - 88 = 0. Calculate the greatest common divisor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34122261 at least -34122259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3799 - -19238. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5976512 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.467 - 3.767. What is the closest to -3\/2 in z, 2, -0.1, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: f1 (base 16) to base 9\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w - 34*w + 13*w + (-3 + 3 + 2*w)*(-3 + 1 + 0) to the form g + f*w and give f.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 1, 3\/5.\nAnswer: 2\/21, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -106. Let z be y\/(-6) - ((-19)\/3 + 7). Solve 4*l = -m + l - 4, -4*m + 2*l = z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26\/3 (b) 0.2 (c) -10693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 66, 2 in ascending order.\nAnswer: -2, -1, 2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63052, 63059, 63066, 63073?\n\"Answer: 7*r + 63045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h - 1. Let c be d(-3). Let i = -1746 - -1760. What is the smallest common multiple of (3 - 0)\/((-3)\/c) and i?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3323879872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 0.1.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millimeter in micrometers?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x + 361. Let r(o) = 2*o - 1. What is -5*r(y) - t(y)?\nAnswer: y - 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10621494 divided by 31057.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**5\/25 + y**4\/20 - 3*y**3\/5 - 9*y**2\/10 - 89. Suppose m(o) = 0. Calculate o.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n. Suppose -5*z = -2*z - x - 4, -6 = -2*z - x. Suppose 4*h - 2*o = 6, -2*h - 5*o + 14 = 5. Let d(v) = v**2 + 0*v**z + 0*v**h. What is d(q(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(640) + sqrt(640))*-4 + 0.\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - 1351 = 711 + 1035 + 921 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 - 6*n + 10. Let t be c(-7). Suppose -6 = -w - 4*y + 9, 3*w - t*y - 120 = 0. Suppose -w + 10 = -u. Solve -4*v + u = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5770984 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + -6 - 6 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 1. Let n(q) = -11*q**2 - 6*q - 4. Let l(p) = -n(p) - 4*r(p). Find the second derivative of l(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -829) + (1 - 0). Let r be (-345)\/(-25) - -11 - (-18)\/15. What is the greatest common factor of l and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-49))\/(-5)*(-80 - 18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1853 - 1847. Let b(f) be the first derivative of -f**4\/24 + f**3\/2 + f**2\/2 + 1. Let t(a) be the second derivative of b(a). Calculate t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5128871 + -5128869.6150935. Let f = q + -1.4269. Let l = 0.042 + f. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-4) + (-6)\/12. Let r = -5 - c. What is the smallest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1155272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhehhhhhhnehghheghfh. What is prob of picking 2 f and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -1\/7, 2, 3 in decreasing order.\nAnswer: 8, 3, 2, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**6 + 0*c**5 - 8 + 0*c**2 + 0*c**4 + 16\/7*c**7 + c**3 + 0*c. What is the third derivative of t(x) wrt x?\nAnswer: 1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Let q = 3 + -4. Let n = -0.1 - 0. Which is the nearest to 0.1? (a) q (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4768, 4631, 4494, 4357?\nAnswer: 4220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 105*l + 104*l - 304517448. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 5*d + 134243, -c = -2*d - 33560. List the prime factors of c.\nAnswer: 2, 97, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -17 - 43. Let j = f + -13. Put j, 3, -4 in ascending order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 1. Let k(h) = h**3 - 5*h + 1. Let c be k(2). Let f(y) = -9*y**2 - 6*y - 6. Determine c*f(z) - 6*r(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/150 - x**5\/100 + 5*x**4\/6 - 8*x**3\/5 + 1405*x + 2. Let y(i) = 0. What is i?\nAnswer: -8, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1517, -2897, -4277, -5657?\nAnswer: -7037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-30)\/84.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819435621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -4, -5, 2 in ascending order.\nAnswer: -41, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10083 - 1c?\nAnswer: 10067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7350\/189)\/(-10) - -3. Which is the closest to 1\/4? (a) 0.08 (b) -0.07 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*35\/(-10)*(27\/(-42))\/(1059\/1412)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 521\/3 + -173. Let o(x) be the second derivative of -4*x + 0 + 0*x**3 + 1\/36*x**4 - k*x**2. Factor o(z).\nAnswer: (z - 2)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:48 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-2 + 2 - 0)) + (-3 - 14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, -36, 104, -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 + 3)) + (-1 - -3) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -3\/7, 3, 5 in descending order.\nAnswer: 5, 3, 0.5, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -166 + 271 + -32 + (1 - -23)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -673.1 - 2984.9. Let u = -3658.002942 - t. What is u rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1580396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -0.0774.\nAnswer: 0.4774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(20) - -1*sqrt(320)))\/(sqrt(32)\/(sqrt(32)\/sqrt(4)))*-6)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(17)*-6 - (sqrt(1377) + 1 - (sqrt(612) + -1)).\nAnswer: -2 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -11*w**8\/336 - 2*w**7\/105 + w**5\/5 + w**4\/8 - 57*w**2 - 2. Find the third derivative of b(x) wrt x.\nAnswer: -660*x**2 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/13 + -11\/78. Let d = -8 - -3. Let j be 3\/5 + 3\/d. Is j less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 73*g**2 - 4*g. Let k be j(-4). Let z be 125\/(1180\/k - 1). What is z rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 2)*(-q - q + 3*q) + 35 - 35 - 9*q)*(8*q**3 + 10*q**3 + 18*q**3).\nAnswer: -216*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 325 = 65. What is the remainder when d is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61836750 to the nearest one hundred thousand.\nAnswer: 61800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/40 + z**4\/4 + z**3\/3 - 6*z. Let p(x) be the second derivative of s(x). Find the first derivative of p(d) wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955014.\nAnswer: 2, 3, 159169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b + 596 - 334 + 3005 = -677 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 4*m**2 - 4*m - 4. Let d be 2\/((7\/2)\/(-7)). Calculate the least common multiple of p(d) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*i + 2*w, 3*w = 3*i + 2*i - 30. Suppose 5*n - 5*u = 25, 2*u = -3*n + i + 4. Suppose 0*y + v + 50 = 3*y, 8 = -n*v. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 14.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 41, 93, 169, 275?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t = 53*t - 31*t - 169650. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/441 and 11\/56?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 4296725 and 476.9.\nAnswer: 4297201.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 438128114 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: Let l = 12 - 7. Let o = -104.1 - -104. What is the biggest value in l, -0.5, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**4\/12 - f**3\/6 - 2063*f**2. Let i be ((-3)\/(-2))\/(1\/2). Let h(z) = -3*z + 2. Calculate i*h(d) + 5*g(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aauaxooaxou. What is prob of sequence aoo?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97974 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*195\/(-819)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**2\/4 - 164277*j\/2 - 8995644243\/4 = 0.\nAnswer: -54759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + t - 6, 255*j - 253*j = 2*t + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:53 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3*y*y**5)\/(y**0\/(y\/(y*y\/(y*y**(3\/5)*y*y)*y))))**23)**(-2\/43) assuming y is positive.\nAnswer: y**(-2438\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23081297189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-5)\/(-4))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7907 or -2?\nAnswer: -7907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 34 = -2*y, -8*j = 6*y - 8975 + 4539 + 4528 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20294055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 331, -0.2, -0.6, -0.0488, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 1. Let n be b(1). Suppose -2*t + 10 + n = 0. Suppose 0 = -2*m + 8, t*a + 3*m + 14 - 41 = 0. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66502841 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*z**3 + 2*o**2*z - 110*o*z**3 - 13*o*z wrt z.\nAnswer: 6*o**2*z - 660*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22960 or 22974?\nAnswer: 22960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -264155366*v**4 - 8464*v - 28562 wrt v?\nAnswer: -3169864392*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.4 (b) 0.03351 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 1. Suppose -s + 14 = -3*g, 3*s - 5*s + 4 = -2*g. Let v(i) = i. What is g*q(w) + 5*v(w)?\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -106, 4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49955809 less than 5388338?\nAnswer: -44567471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -117*f. Let q(o) be the third derivative of o**4\/12 + 3*o**2 - 7. Calculate z(q(x)).\nAnswer: -234*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:52 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6367561*f**2*o**3 - 410*f**2*o**2 - 1391*f**2*o + 7*o**2 + 1 wrt o.\nAnswer: -38205366*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40752)\/5943)\/((-20)\/(-14)).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.5303 weeks to minutes.\nAnswer: 9500705.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130131 (base 4) to base 10.\nAnswer: 14109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-54) - (-11)\/12*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1363 - 1342. Calculate the remainder when 452 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/298368 and -85\/40096?\nAnswer: 53407872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292363623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/164838 and 191\/13012272.\nAnswer: 1080018576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4 - 75*a**3 - 360*a**2 - 540*a = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 2*a - 1. Suppose -8*b = -2*b - 0*b. Let t(s) = 10*s - 22 + 11 - 6*s**2 + 15 + b*s**2. Give 2*t(k) + 11*u(k).\nAnswer: -k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458439571.\nAnswer: 16477, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2210*g - 28738. Determine j(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:42 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**3 - 2 + 2)*(-10*v + 10*v - 21*v**2 + (3 - 2*v - 3)*(-5*v + 0*v + 4*v) + 6*v**2 - 9*v**2 + 6*v**2).\nAnswer: 96*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -2 (b) 0 (c) -0.31 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207373095 and 324.\nAnswer: 2488477140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2185900.949 to the nearest 1000.\nAnswer: 2186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/17 - 224752*q**2\/17 - 1797918*q\/17 - 3371040\/17 = 0. What is q?\nAnswer: -112368, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68933?\nAnswer: 29, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-186)\/(-310))\/((-11)\/5). What is the second smallest value in t, 0.5, -270?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2511670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 + 14*n - 6*n - 2 - 13*n. Calculate the remainder when d(-23) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 4*u**2 - 17*u + 51. Give d(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499710 is divided by 857.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, -4, -56 in decreasing order.\nAnswer: 3, -1, -2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(704) + (sqrt(704) - sqrt(704)*2))**2 + 1) - ((sqrt(176) - (4 + sqrt(176) + 1))*3)**2.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 12. Let i = r + 109. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4308, 17262, 38860, 69096, 107964?\n\"Answer: -p**3 + 4328*p**2 - 23*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.01, -3\/8, -0.3, -0.103?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t**2 + 450*t - 4. What is k(23)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406279260 to the power of 1\/2, to the nearest integer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/(-30))\/5)\/(84\/(-36))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*r**2 + 2800*k**2*r + 3*k**2 - 4749*k*r**4 + 2*k*r wrt r.\nAnswer: -4*k**2 - 56988*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1782 - 19*i + 1782.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k - 61. Let s be n(8). What is the least common multiple of 24 and 28\/14*s*64\/6?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 0*r**2 + 10 + 15 + 206*r**2 + 18 as o + m*r**2 + n*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4 - -2)*-6. Which is the nearest to 1? (a) i (b) -3\/4 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-10))\/((20\/25)\/1*5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**4\/7 + 172*r**3 + 2402*r**2\/21 + 400*r\/21.\nAnswer: 2*r*(r + 200)*(3*r + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3455551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*t**2 + 76*t - 76*t)*(-11*t + 18*t - 8*t + 28) - 2*t**3 - 2*t + 2*t - 3*t**3 + 5*t**3 - 3*t**3.\nAnswer: -25*t**3 + 616*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (3 + (-5 - (12 - 17))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -3 (c) 1\/4 (d) -4\/5 (e) -497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**5 + k**2 - k**2)*(-5 + 1 + 3) - 5*k**5 + 3*k**5 - 3*k**5.\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*r, -3 = c - 4*r + 2. Let f(k) = -k + 19*k**2 + 23*k**2 + 2*k**2. Let s be f(c). What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71782 by 7.\nAnswer: -71782\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 37 = -2*n. Let r be (122 + 1)*((-56)\/12 + n). Find the common denominator of (11 - 22)*((-6)\/r)\/(-1) and -10.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 + 5*d**2 + 4*d - 72. Let b(t) = 4*t**3 + 6*t**2 + 3*t - 73. Let k(c) = 4*b(c) - 3*o(c). What is the derivative of k(h) wrt h?\nAnswer: 3*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = 67*p + 5*p - 1092 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10 + 4 + 491*g + 10. Let z be s(-4). Round z to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1400 + 1400.0593. Let u = -3.0907 - l. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*r + 20 = 6*a, -3*a + 1 = r. Solve -2*v + 10 = 0, z - a*v = -0*v - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/(sqrt(27)\/sqrt(3)) + sqrt(27) - sqrt(135)\/sqrt(5)*1)*-1)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.05, -2\/9, 2.39, 0.6, 4, 1\/2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 2*i - 6*m - 62, 0 = 3*i + 1338*m - 1336*m - 81 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2060*y**3 + 665*y**2 + 15*y + 5. Let w(o) = 3089*o**3 + 997*o**2 + 21*o + 7. Let j(u) = 7*p(u) - 5*w(u). Find the third derivative of j(c) wrt c.\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a - 109. Let f be d(-16). Is 8 + (-4 + f)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25200651.\nAnswer: 3, 7, 251, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372784 and 1472?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -274266 and -0.3.\nAnswer: 82279.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2\/15*s**5 - 2\/9*s**3 - 1\/18*s**6 + 0*s**4 + 1\/6*s**2 + 0*s - 1. Suppose u(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -165*t**2 + 5*t - 149. Let b(u) = -825*u**2 + 26*u - 824. What is 2*b(w) - 11*d(w)?\nAnswer: 165*w**2 - 3*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {n: 9, c: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 < -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - 1) + 24 + -60 + 28\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(-5)\/(-100) + 1722\/8. Are i and 215 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -98 + 35 + 39. Factor -35\/2*j**z + 15*j + 0.\nAnswer: -5*j*(7*j - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11211 (base 3) to base 12\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 - 3*p + 4. Let r be y(3). Solve 0*s + s = r*w + 13, -25 = -5*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2. Let z(x) = -2*x**2 + 344*x - 2497. What is z(k(r))?\nAnswer: -32*r**4 + 1376*r**2 - 2497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 24*s - 198. Let y(f) = 3*f - 24. Let x(c) = 4*q(c) - 33*y(c). Let j(k) = 3841*k. Give x(j(o)).\nAnswer: -11523*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2058 and -103\/45066.\nAnswer: 2208234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w**4 + 77*w**3 - 362 wrt w?\nAnswer: -16*w**3 + 231*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, m: 4, y: 1, f: 1, k: 5}. What is prob of sequence ym?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954 divided by -3.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-11)\/(-11) + 32\/(-20)). Which is smaller: -5\/6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -20*m**7\/21 - 19*m**4\/12 - m**2\/2 + 91*m - 1. Find the third derivative of s(t) wrt t.\nAnswer: -2400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4560781.\nAnswer: 1723, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6448*f - 1454. List the prime factors of k(-6).\nAnswer: 2, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2443308 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 2618?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sxs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6.94. Let k = 0.06 - l. Let m be 1\/3*-5*1. Which is the second biggest value? (a) k (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 19}. What is prob of sequence jojj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8577773.\nAnswer: 8577773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide -9 + (-1162)\/(-126) + 51946\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -100001010?\nAnswer: -100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = c + 15, 2*c + 20 = 6*c. What is the smallest common multiple of 84 and q?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*z + 2*z + 20 = 0, -4*z = 2*t - 10. Suppose -4*k = k + 2*x - 26, 0 = -k - 5*x + 19. Calculate the remainder when t is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(968)*3)*3 + 1)**2.\nAnswer: 3960*sqrt(2) + 78508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**2 + 5*j + 1. Let y be u(-8). Suppose 3*s = 6*s - 6. Find the common denominator of -1\/10 and (s\/20)\/(18\/y).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 2*a**2 - 61*a - 3*a**2 - 2 - 5.\nAnswer: -5*a**2 - 61*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2, 0, 1, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70545 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -141, -4\/7, -0.94, 0.5, -4 in descending order.\nAnswer: 0.5, -4\/7, -0.94, -1, -4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttstttttsettttsss. What is prob of sequence esss?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, -4, -1.\nAnswer: -4, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199\/315 - 28\/45. Let c(b) be the second derivative of 1\/42*b**4 + 1\/35*b**5 - b + 0*b**2 + i*b**6 + 0*b**3 + 0. Factor c(o).\nAnswer: 2*o**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 6:06 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103.322 + 103. Let i = v - -0.022. What is the fourth smallest value in -5, i, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/12, -0.21, -4.6?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302*q - 716833 = -3157*q - 284310 for q.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose k*z - 8 = -z. Solve 0 = z*t - 0 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466623811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2 + 2\/2). Suppose 0 = 3*g + y - 115. Suppose -b + g = -6. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5875*y + 102177 - 31677 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1588746 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 182239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:31 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 4*-1)*14. Let v = x + 14. Solve v*o - 4*o + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*j + 457*j - 67120 = 0 for j.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.5 + 21. Which is the nearest to -3? (a) -1\/5 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.72425 millilitres?\nAnswer: 0.00172425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325236 (base 7) to base 9.\nAnswer: -86243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13141 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s - 3314 + 9*s + 3315 - 18*s to f*s + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16077 is divided by 473.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 816 and 128?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 164*u**3 + 77*u**2 + 25*u + 6. Let j(y) = 328*y**3 + 154*y**2 + 46*y + 11. Let m(b) = 6*j(b) - 11*s(b). What is the third derivative of m(n) wrt n?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-5))\/(((-16)\/6)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*h + 25 = 4, -5*c = -5*h + 65. Calculate the remainder when 45 is divided by c*(0 + -3 - 110\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(60)\/sqrt(3))**2*-6.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.924 - -10. Let d = 0.124 + y. What is the smallest value in -5, d, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696929*u**2 + 5*u + 5578859*u**2 - 5*u.\nAnswer: 3881930*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:31 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 257 - 247 = -5*w, -2*m - 10 = -4*w for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1028, 1570, 1716, 1268, 28, -2202, -5620, -10424?\nAnswer: -16812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3241*n**5 - 149*n**2 - 8*n + 112162 wrt n?\nAnswer: -64820*n**3 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1864963\nAnswer: 5\/1864963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -64727443 and -64727444 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 14*h**2 + 6*h - 8. Let r be n(-8). Suppose -3073 = -5*p + r. Suppose p = 3*s - 18. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 34?\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/60 - x**4\/4 + 2*x**2. Let f be w(-6). Suppose 0 = -3*l + 5*m - 4*m + 33, f = -3*m + 9. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/3 and 55\/243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -7*y**3\/6 - 12*y. Let x(q) = 3*q. Calculate x(h(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104442 is divided by 2677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4835*j - 4898 + 4898 + 1628*j - 1556*j.\nAnswer: 4907*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*f - 16, -5*t - 12 = 4*f - 7*f. Let q(o) = t*o + 2*o - o. Let z(m) = 2 - 101484601*m + 101484609*m - 2. Give z(q(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 101. Are k and -19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2459 divided by -101.\nAnswer: -2459\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/2*1*8\/(-84) + 5?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 + 14. Let q = c - -273. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 12, k - 2 = 2*g - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21253.00013529 - 21253. Round h to six dps.\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22202130202 (base 4) to base 11.\nAnswer: -1617591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 6. Let i be y(-5). Let b = i + -1. Suppose -4*t + a = -49, t + 7 = 3*t + b*a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and -1118?\nAnswer: 301.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r = l - 52*r - 2, l - 5*r - 26 = 0. Solve -5 = -2*b - 5*a - l, -3*a + 3 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - -3)*3\/(-6). Suppose -3*n - 36 = -u + c*n, 4*n = 16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137293166 to 7 dps.\nAnswer: 0.0013729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 7072331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28216379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 433.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-12)*(-6)\/20. Let c = 1533.34 - 1533.34. What is the third biggest value in c, -0.08, 3\/5, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pys when three letters picked without replacement from syypsyypyppyy?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 3, 0, -21, 2, 259, -2 in decreasing order.\nAnswer: 259, 26, 3, 2, 0, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1121 - 1121.5. Suppose -4*x + 1 + 3 = 0. Let m be (1\/(1\/(-2)))\/x. What is the biggest value in m, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (74 + -50 - 9 - -15).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -5 in descending order.\nAnswer: 3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81.0517 and 4.\nAnswer: 324.2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 6\/(-4))*182\/78. What is the second smallest value in k, -1, -2\/3, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 63\/15)*35. What is the highest common divisor of g and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 11, k: 2}. Give prob of picking 1 r and 1 d.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 3*z**2 - 2*z + 2. Let j be v(2). Let g(w) = 2*w**2 + 3*w - 3. Let a be g(j). Is 10 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 59\/561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965*s - 383*s = 3031*s - 26274 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 244.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) 3\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -16. Suppose -s + 4*s - 9 = z. Find the third derivative of -s*v**2 - v**2 + 3*v**2 + 3*v**2 + 6*v**3 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 4*k + 2*k)*(9 - 5*k - 9) + 33 + 5*k**2 - 33.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -0.8 (c) 4\/9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6410224 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 34. Suppose 0 = 4*m + r, -m - 3*m - 8 = 3*t. Solve t = w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010016981414 to 7 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -18953?\nAnswer: 1895.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * -13.\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (160\/8)\/((-24)\/(-7248))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -h - 2*d + 8, 4*h - 5*d + 4 = 0. Suppose -3 = h*y - 5*y. Suppose -y*x + x - v + 149 = 0, 3*v = 3. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 19) + (0 - -2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/4))**(-48)*y**6*y**6*(y**(1\/3)*y)**(-1)*((y**(-1)*y)\/y)**(2\/27) assuming y is positive.\nAnswer: y**(-686\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34381104 is divided by 929219.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2 (c) 23\/2 (d) 4 (e) 28.478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + sqrt(1573)*-1 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2997 and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (39 - -2 - 62).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = 5*f, 0 = 2*d - 5*f + 5 + 10. Suppose -h - 2 + 4 = d. Which is the closest to -0.1? (a) h (b) -0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1. Let v = -72 - -13. Let o = v + 60. Let d be o + -10*(-1)\/(-4)*-2. Give l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 6*y - 12. Calculate q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22180 + -21116. What is the greatest common factor of g and 2527?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by -37\nAnswer: 67\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r*r**(3\/4))**(-1)\/((r**0)**10*r**(-2)\/((r\/(r*r\/(r\/(r*r**(4\/5)))*r))\/r)) assuming r is positive.\nAnswer: r**(89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 14 - 18 = 0. Suppose -1511 = -3*q + 2*f, 3*f + 1006 = i*q + f. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288741 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*o = -334, -o - 5 = -7. Let x = a - -62. Let p(y) = -y - 2. Let r(k) = -k - 4. Determine x*r(w) + 7*p(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9706882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 1)*(3*w - 5*w + 0*w + (w - 3*w + 3*w)*(0 + 0 + 2) + 2*w - w + 0*w + 3*w - w - 4*w - 5 - 12*w + 14*w - 3) - w - 2 + 2.\nAnswer: 4*w - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 + 28*q**2\/3 - 136*q\/3 + 48.\nAnswer: 2*(q - 2)**2*(q + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26894 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 21, -5, -26965 in ascending order.\nAnswer: -26965, -5, -2, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/165745090 and 41\/14?\nAnswer: 165745090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 25*h - 50. Let j(z) = 2*z + 1. What is the smallest common multiple of r(27) and j(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((38115\/56)\/5)*54\/(-72).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100313951*y**3 + 850*y - 81359?\nAnswer: -601883706*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 102. Suppose -3*z + 8*z = -x. Sort -3, 7, z in ascending order.\nAnswer: -3, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 7, -5, 6\/601?\nAnswer: 6\/601","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/90*(-135)\/52569.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1328820597*z**4 - 409380059.\nAnswer: 5315282388*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -220?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = 0. Let m(j) = -32*j**2 + 4 - 3*j**3 + 2*j**3 + 31*j**2. Calculate the remainder when 7 is divided by m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.23. Suppose -5*w - 2 = 2*n, 2*n - 16 = w + 3*w. What is the biggest value in 3\/7, b, 4\/5, w?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 177*n - 726. Let u be s(4). Let z = 58 - 44. Put u, 4, z in descending order.\nAnswer: z, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/13)\/(v\/v**(-33))*(v**(-11))**31 assuming v is positive.\nAnswer: v**(-4877\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-19)\/2)\/(3\/258) - 0. Let b = -398 - w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356605787 and 61448.\nAnswer: 7681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.28 - 6.28. What is the third smallest value in 0, f, -0.08, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9896.498m?\nAnswer: 9.896498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 311*c**3*i*z**3 + c**3*i + 28*c**3*z - 5*c**2*z**2 + 5*c*i + 3*i*z**3 + 1 wrt c?\nAnswer: 1866*i*z**3 + 6*i + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*v + 110*v - 5721 + 1851 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let s(q) be the third derivative of -182*q**5\/15 - 1065*q**2. Calculate s(u(k)).\nAnswer: -6552*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 2*c**2 + 5*c**2 - 8 + 11 - 21*c to the form k*c + f*c**2 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -21*o**5 - 33*o**4 + 93*o**3 - 3*o**2 - 36*o = 0.\nAnswer: -3, -4\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2184\/((-7)\/(-1)) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 4500?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -294 - -293.7. Put 4, z, 0.2, 11 in ascending order.\nAnswer: z, 0.2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378376067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -2.8767?\nAnswer: 2.30136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 + -310. Suppose 4*q = 57 + 75. Is y not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*38\/570)\/((2\/66)\/(-1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 14*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2*r**3 - 5*r**2\/2 - 39*r - 6. Suppose 5 = -4*x - 7. Let p(s) = -6*s - 3. Calculate x*u(c) + 5*p(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*o - 16858 + 16858 - 8*o**3.\nAnswer: -8*o**3 - 199*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0209 + -0.6111. Let d = 0.368 - j. Sort 0.05, d, 5, 0.25 in decreasing order.\nAnswer: 5, d, 0.25, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915728?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27\/56 - 5\/14. What is the nearest to -0.4 in 1\/2, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n - 0. Let j(l) be the second derivative of 0*l**n + 0*l**3 + l - 1\/3*l**4 + 0. Let z(v) = v. What is z(j(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/(-480)*(-2 - 94\/(-51)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (12 + -12 + -2)) + -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878784 is divided by 2259?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - 11*c**2 + 10*c**3 + 11*c**2.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y. Let j(r) = r + 39. Let z be j(-42). Determine s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/14*42\/245*10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.2, 1.4, 2549 in descending order.\nAnswer: 2549, 1.4, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 24*l**4 + 36*l**3 - 16*l**2 - 48*l = 0 for l.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 40. Suppose -h*r = -20*r - 0*r. Solve 0 + 12\/7*y**3 + 4\/7*y**5 - 12\/7*y**4 - 4\/7*y**2 + r*y = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1033, 2066, 3099, 4132, 5165, 6198?\nAnswer: 7231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*s, -r + 3116584 = 4*s - 1929008. Suppose -4*k - b = -r + 14165603, 0 = -5*k - 2*b - 11399998. Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**3 + 605*f**2 + 86*f + 1518. Calculate l(101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1368 and 476280?\nAnswer: 9049320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.4 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1080 divide 44233560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965252293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 2. Let c(g) = -25*g - 20. Let z(k) = c(k) + 10*w(k). Let u(m) = 55*m**2. Give z(u(r)).\nAnswer: -275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 156*d**2 + 2335*d - 310. What is k(20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.075337 - -0.0651116. Let q = 124.9437254 + j. Let k = -125 + q. Round k to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*o + 2*o. Is (0 - o - -188)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.11 - 0.11. Sort -1, -5, h in decreasing order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 59 - (5 + -2) - -4 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79537\/48 - -1657. Find the common denominator of d and -139\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1)\/i))\/i*i**(-2\/47) assuming i is positive.\nAnswer: i**(92\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4*k - 18, 99*k = -2*o + 104*k - 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*n - 0*n + 80, 4*j = 3*n - 62. Suppose 43 = 5*r + n. What is the first derivative of 32*k + 13 - 27 - r*k wrt k?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.729 - -2.729. Which is the nearest to 13? (a) -1\/2 (b) -4 (c) m (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(4*u**4 - 2*u**4 - u**4).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2669194, -5338560, -8007926, -10677292, -13346658?\nAnswer: -16016024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 3 - 3*t**4 + 0*t**3 + t**3 + 4*t**2 - 4*t**2 - 3*t**4 + 0*t**4 - 3*t**4 + 5*t**4 + 2 - 2 + t**4 + (-6*t + 2*t + 2*t)*(-2*t**3 + t**3 + 2*t**3).\nAnswer: -4*t**4 + t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3934 and 8568814.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 - 19*a - 54. Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 13 + 7. Suppose -2*i - 3*i - 1920 = -q*n, n - 2*i - 477 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5 - 2 - -1) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/366 and -93\/27664.\nAnswer: 5062512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80526 - 80529.54789. Let r = b - -3.55. What is r rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/21)\/(1 + 0). Suppose -2*k - 3*k = -m + 25, 3*m + 5*k + 25 = 0. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 38*v + 205. Let d be w(34). Suppose 19*g + 107 - d = 0. What is the biggest value in g, -101, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -881, -882, -883?\n\"Answer: -k - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 * 583163.\nAnswer: -139959120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 947896741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68500285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -20?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**2 - 14*t. Let p(s) = -s**2 + s. Let r(k) = 2*b(k) + 22*p(k). Find the second derivative of r(a) wrt a.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357282, -714557, -1071828, -1429095?\nAnswer: -1786358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmaaammammmmmmm. What is prob of picking 3 a and 1 m?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 39. Let f be t(14). Suppose -3*j + 21 = -f*y, -2*j + 5*y = 1 - 15. Let q = -3 + 31. Calculate the highest common factor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 13*k**2 - 20*k + 35. Let f be o(15). Let t = f - 192. Let r = -2 - -1.5. Which is the smallest value? (a) t (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 0.1, 19 in ascending order.\nAnswer: -6, 0.1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 763 (base 15) to base 5\nAnswer: 23133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*l - 0*l - 80, -5*f = 4*l - 174. Suppose -5*y + 2*k = -69, k = 3*y - 0*k - l. Calculate the remainder when 25 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(238)*-1)\/sqrt(7))\/((sqrt(4)*2)\/sqrt(2))*6 - (((-5 + 1 + sqrt(17))*1)**2 + 1 + -3).\nAnswer: -31 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3509383, 7018768, 10528153, 14037538, 17546923?\n\"Answer: 3509385*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 309\/6) + (-3)\/(-2). Let s = -43 - y. Let g(h) = h + 27. Let n be g(s). What is the highest common divisor of 45 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 9599 - 9605, -2*a + 5*w + 22 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, -19, -0.3 in ascending order.\nAnswer: -19, -0.3, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 17506020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = -5*v, 710*n + 5*v + 17 = 712*n. Let t = 6 + -4. Solve t*u - 5*r + 17 = 0, -5*u - 2*r + n = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d*d)**19 assuming d is positive.\nAnswer: d**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(180)*-1 + (sqrt(180) + 1)*-5)*-4 + 4)**2*-2.\nAnswer: -698112 - 25344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 - 92*q**2\/3.\nAnswer: -4*q**2*(q + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (36 + -23) - -16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) 33 (c) 5 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 394 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544821548 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(0*q - 4 - 1 + 2*q).\nAnswer: 6*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d - 8. Let k be t(-2). Solve 8 = k*s - 0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 198. Let w be p(-24). Let o(l) be the third derivative of -l**6\/120 - 2*l**5\/15 - 13*l**4\/24 - l**3 - 15*l**2. Let m be o(w). Is 10\/9 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 6*p - 5*p + (-5 + 5 - p)*(-4 + 1 + 1) - 5*p + 5*p + p)*(-138*p - 1587 + 1587)*(-1 + 3 - 1).\nAnswer: -690*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21, -338, 4, -1 in ascending order.\nAnswer: -338, -1, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3646 (base 9) to base 2\nAnswer: 101010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 - 1155*c**2 - 2295*c - 1145 = 0. Calculate c.\nAnswer: -229, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 613, 640, 685, 748?\n\"Answer: 9*x**2 + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.8636705 nanoseconds?\nAnswer: 0.000000000031061175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-12.39.\nAnswer: -61.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2229 - 2229 + 51*h**2.\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1595456\/65 + 24546. Calculate the common denominator of -43\/6 and z.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -330845990, -661691980, -992537970, -1323383960, -1654229950, -1985075940?\n\"Answer: -330845990*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s - 3 = v, -5*v - 21 = -4*s. Let w = -29.6 - -28.8. Is s at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -22*d**2. Let i(r) = 24138*r. Give v(i(n)).\nAnswer: -12818146968*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*3\/(-3)*-3. Let m be g\/(-3)*(-1 + -3). Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 4*w + 2. Let v be q(-3). Let n be (12\/112)\/((-3)\/(-12)). Which is the second smallest value? (a) v (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 328\/(-492)*(-66)\/14 and -47\/2567.\nAnswer: 17969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684619, 2738458, 6161523, 10953814, 17115331, 24646074?\nAnswer: 33546043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57 (b) 0 (c) 2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(4472 - 4472 + 101*j**2) - 4*j**2 + 0*j**2 + 3*j**2.\nAnswer: -405*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16, 15 = -3*n + 2*w + w. Let p(v) = -5*v**2 - 1. Let h be p(n). Let l = h - -17. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 2*g**4\/3 + g**3\/6 - 5*g. What is d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108280, 108278, 108276, 108274?\nAnswer: 108272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 300, 634, 970, 1308?\n\"Answer: y**2 + 331*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 3*d - 321. Suppose 2*a + 5*s = 2*s + d, a - 52 = 4*s. Suppose a = 2*w - 5*m, 4*w - 3*m - 4 - 62 = 0. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from poopopoooopooo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 8*b - 3. Solve -2 = b*c - 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3745 + -3735. Sort 1, z, 2 in increasing order.\nAnswer: 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 - 3*t - 3. Suppose 0 - 4 = -p. Let o be k(p). Let d(n) = n. Let u be d(5). Put o, u, 0 in descending order.\nAnswer: u, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by -2949\nAnswer: -76\/2949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (142 - (-24 - -81))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.135\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 + 3*c - 3. Let o be j(2). What are the prime factors of (4 + o\/6)*10?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 634 divided by -113\nAnswer: -634\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6769 is divided by 1646.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24 + -6 + 1*23\/(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:46 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -39. What is the third derivative of 18*w**6 + 22 - 8*w**2 - 22 - w**m wrt w?\nAnswer: 2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3 = -o. Let c be 6\/(-1 - 2) - -5. Solve -a = c*a + o*s - 7, 3*s = 5*a - 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 4*o - 300. Suppose 0 = -3*p + 2*w + 118, -w - o = -p + 2*w. Let b = 8 + p. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3.4 (c) -4 (d) -0.6 (e) -25 (f) 320\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = k + 2*k + 27, -3*k = -4*r + 32. Suppose 0 = -4*f + r*u - 4456, -f + 3*u - 1114 = -0*u. Is f*(0 + (-4)\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -571\/7 - -81. Suppose -5*a - 10 = -0*a. Let l be ((-2)\/4)\/(a\/(-8)). Is l at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54919177 to the nearest integer?\nAnswer: 7411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19372 or -19377?\nAnswer: -19377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 + l - 19. Let z be q(0). Let b = 26 + z. Find the first derivative of 0*o - b + 12 - 10 - o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0 (c) -291\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 2*a + 7. Let v be l(5). Let h be (5 + -2)\/(v\/(-144)). Let z = h - 44. What is the highest common divisor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, x: 5, v: 2, t: 2, c: 4}. Give prob of sequence xvv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - f = -0*n - 17, 4*n + 4*f = 44. Solve -n = c - 3*x, 5*c - 5*x - 5 + 25 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrlirirlrll. What is prob of picking 2 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l - 1. Let s(c) = 6*c - 136. Let a be s(22). Let x(h) = 1. Let w(g) = a*x(g) - 4*d(g). Find b, given that w(b) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*3*(-36)\/(-168)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102908 divided by 25727\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 214241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 9*a + 12. Suppose -h - 9 - 3 = -2*t, -2*h - 3*t = 17. Let d be r(h). Solve d*w + 2 = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**10*s)\/s*s\/s**0*s)**(4\/37))**(-27) assuming s is positive.\nAnswer: s**(-1296\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by -145?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6553*p**3 + 6600*p**3 - 19757*p**3 + 6600*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 6076 = 6766 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 941, 943, 947?\nAnswer: 953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*g = 2*g - 101, 0 = -4*s - 4*g + 88. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84661.11 millilitres in litres?\nAnswer: 84.66111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s - 4. Let c be g(-5). Suppose 6*v = 13 - c. Let b = 8 - 6. Solve -m = -b*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)*g*g*g\/(g**(7\/4)*g)*(g**(2\/7)\/g)**(-19)*((g*g*g*g**(-2\/17)*g)\/(g**(-3)\/g))\/((g*g**(2\/9)\/g)\/g*(g\/g**(1\/10))\/g) assuming g is positive.\nAnswer: g**(500833\/21420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 4. Let c(i) = 2*i + 2. Let v = 14 + 5. Let y = v - 12. Let m(r) = y*c(r) + 3*j(r). What is the derivative of m(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-870)\/(-48)*-6)\/(2\/(-8))?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 7*c - 5. Let g be o(5). Suppose -g*f + 2*f = -6. Is 100\/f + 1\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64104, -64106, -64108, -64110, -64112?\nAnswer: -64114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7800862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*t = -5*l + 27, 3*l + 4*t - 21 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 0. Suppose a*r + 5*r = 0. Solve r*u - f + 2 = -u, 0 = -4*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 7*y**2 + y + 12. Suppose -42 = -14*d + 20*d. Let u be z(d). Solve 1 = -o + 2, u*o = -2*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 - 300. Which is smaller: 14\/11 or d?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(30 - 30 + 24*x)*(-3 + 6 + 2).\nAnswer: 240*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 77 = -5. Calculate the highest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5668 divided by 1417\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247\/7 - 35. Let i(y) = -2*y**2 + y + 2. Let m be i(0). Factor 0*d + j - 2\/7*d**m.\nAnswer: -2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/4*3\/(-9). Let r(l) = 8*l. Let y(b) = 5*b. What is h*r(o) + 5*y(o)?\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 116 divided by -30\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.785 + -0.215. What is the nearest to 1 in g, -18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = -18*r - 216. Suppose 0 = 4*q - q - 276. Calculate the remainder when q is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**3 - 157*c - 6. Let y(i) = -8*i**3 - 158*i - 5. Calculate -5*k(h) + 6*y(h).\nAnswer: -3*h**3 - 163*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(5\/(75\/20))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwuhw. What is prob of sequence huw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - u**2 - 14533751 + 2*u**3 + 14535532 in the form l*u**3 + q*u**2 + n + k*u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0 - 5) + (8 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-15))**(-6\/13)*(k**(1\/23))**(-4))**(2\/19) assuming k is positive.\nAnswer: k**(-4520\/5681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443316.\nAnswer: 2, 3, 36943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - p - 56*p**2 + 4*p + 52*p**2 - 1 - 4*p to m*p**3 + c + b*p**2 + u*p and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 22, -177, -33\/5?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*i**6 + 36*i**2.\nAnswer: 58800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -0.2, -1\/6, 3626, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 21)*(-5 + 1 + 1)*(4 - 4 - q**2).\nAnswer: 87*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**4 + f**3 + 2*f - 7*f**4 + 2 + 11*f**4 + 321*f**2 + 960*f**2 + 235*f**2 to the form l*f**3 + d*f + h + p*f**2 + j*f**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*m**5*v**3 + 202*m**3*v**3 + 2*m**2*v - 2*m**2 - 12*m*v**3 - 7*v**3 wrt m?\nAnswer: 2580*m**2*v**3 + 1212*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -176 + -5?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 19. Let g(p) = -2*p + 19. Let u(h) = 5*g(h) + 4*w(h). Let n be u(10). Let q be (-2)\/((-5)\/(-2) - 0). Is q smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, 4, 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 1.2. Let d(o) = o**3 + o**2 + 10. Let w be d(0). Let h = w + -21\/2. What is the nearest to h in 5, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 75, -0.3, -3\/7, -8?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + j + 9 = 0, 0*j = 5*a + 2*j + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/7)*s)**(2\/5))**(-13) assuming s is positive.\nAnswer: s**(-416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v + 175. List the prime factors of g(-34).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/19484516 and -43\/11348?\nAnswer: 19484516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 56*w - 79. Let a(k) = 56*k - 79. Let d(q) = 5*a(q) - 6*p(q). Differentiate d(j) wrt j.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48274 or -337912\/7?\nAnswer: -337912\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.895007 nanoseconds?\nAnswer: 0.000000005895007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020021 (base 4) to base 9.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/(o\/(o*o**(4\/3)*o)))**7)**(29\/2) assuming o is positive.\nAnswer: o**(-812\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose d - 12 = -q*d. Let c be 0\/(-1) - (31 + -34). Solve 3*h = 2*h + j + d, 0 = c*h + 4*j - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320\/(-4620) + ((-75)\/(-7))\/(-1) + 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1356 + -1352. Solve -z*q - 263 + 259 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, -2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4059*q - 4057*q - 3*z + 4*z = -2, 0 = 5*q - 2*z + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:50 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*g + 1. Which is the second biggest value? (a) g (b) -2\/3 (c) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, a: 5, e: 7, y: 1}. What is prob of sequence vye?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = s - 2*a, a = s - 0*s - 11. Solve 25 = -b + s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/28 - (-1)\/((-3)\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -13 - 11\/2*o**2 + 0*o**4 + 0*o**5 - 7\/3*o**6 + 0*o**3 + 0*o. Find the second derivative of y(u) wrt u.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.8 - 20. Let s = y - 2. Let u = -0.8 - -0.3. Which is the nearest to -1? (a) -5 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 532, 1056, 1578, 2098, 2616?\n\"Answer: -n**2 + 527*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000022 (base 3) in base 9?\nAnswer: 11008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118151 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c**5 - 27265*c**4 - 34055*c**3 - 6810*c**2 = 0 for c.\nAnswer: -1362, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 1. Let q be ((3 + 2)\/5)\/(-1). Let s(f) = 4*f - 14. Let m(d) = q*s(d) + l(d). Let p be m(3). Which is the nearest to 0? (a) p (b) 10 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249163 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.93 - 0.33. Let x = i - 29.6. Let y = x + 24. What is the closest to -2 in 0, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*(13 + -3)\/5\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*p**2 - 5315*p + 894573 with respect to p.\nAnswer: 146*p - 5315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1813629 divided by -13\nAnswer: -1813629\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + 10. Let m = r + -29. Suppose 0 = 2*v + 2*f - 28, 3*v - f - m = v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 4512166.\nAnswer: -1353649.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 141\/23854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 = 0, -7*u + 9022 = -3*u - 2*a. Let b = u + -54065\/24. Find the common denominator of b and 5\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2269257850 + -2269258280.9999162. Let g = l + 431. What is g rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 478 and 3.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14459862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -16. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38437.14 - -38108. Let u = w - -334. Let q = u + -0.86. Which is the fourth smallest value? (a) -3 (b) q (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:36 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/3, 6\/13 in descending order.\nAnswer: 6\/13, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8235801 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3174 (b) -19 (c) -4 (d) -5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 5. Let x be m(-5). Let b be 280\/(-147) - 2\/21. Put 1, b, x in decreasing order.\nAnswer: 1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/11 and 25\/196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 421*v**3 + 25*v**2 - 24*v. Calculate the remainder when p(1) is divided by 389.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38b - -e798?\nAnswer: e40c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122129.95*-64\nAnswer: 7816316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 735*j**2 + 973*j - 45759. Determine u(-366).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6490316, 12980534, 19470752, 25960970?\n\"Answer: 6490218*d + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 57.7228869 minutes?\nAnswer: 0.005726476875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*i - 39 = 0, 3*i + 3 = -6. Let y = 8 + -25. Let j = y + k. What is the second smallest value in -2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -15097140552708?\nAnswer: -15097140552705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 511 divide 27042120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2014335, 5, -3 in descending order.\nAnswer: 5, -3, -2014335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 10292, -2, 5, 1 in decreasing order.\nAnswer: 10292, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18067331?\nAnswer: 1531, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**5 - 7*v**4 - 7*v**3 - 3*v**2 - 5*v - 5. Let o(u) = 8*u**5 - 8*u**4 - 8*u**3 - 4*u**2 - 6*u - 6. Let a(l) = 6*d(l) - 5*o(l). Factor a(z).\nAnswer: 2*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1549538, 1549539, 1549540, 1549541, 1549542?\nAnswer: 1549543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4513021897.37 + 4519680727.370006. Let a = p + -6658823. Let i = 7 - a. Round i to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 8*g - 3*w + 21, 0 = -21*g + 4*w + 56 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11832990 smaller than -11832985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50020832 divided by 3126302.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Let p(b) = b + 1. Let n be p(-4). Let r be 3\/(-3 + 0) - n. Solve i + r = g*w + 4*i, 0 = -3*w + 5*i + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1479 + -30891044\nAnswer: -30891044.1479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from yvbyhybvry?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*o - 5*o + 35, 5*o + 10 = 5*z. Let h be 6\/(-3)*-1 + 0. Suppose -48 = -2*b - h*b. Solve -2*w = -3*d - 3, -5*w = z*d + 18 + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262605 and 372771.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.2 (b) 5 (c) 2.2 (d) -2\/7 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11657545 less than -11657549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 331, 311, 289, 265, 239, 211?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2 + 10 + b**2 + 0 + 5*b. Determine k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 607 + -258?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 38. Calculate the lowest common multiple of c(-16) and 55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2 + (-21)\/(-6)). Suppose 0 + 4 = 2*k. Let n = b - k. What is the remainder when 2 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559679, -559682, -559685?\nAnswer: -559688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109247332*n**3 + 14089037*n**2 - 2?\nAnswer: -655483992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548 = -45*k + 127 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3012402 = -102*a + 171*a. What are the prime factors of a?\nAnswer: 2, 83, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77949, 76865, 75057, 72525?\nAnswer: 69269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.9 - 70. Let p = 0.11 + 0.99. Let t = z + p. What is the nearest to -2\/5 in 5, t, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 - 1987199?\nAnswer: -1987336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 939626869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 7*d**4 - 5*d**3 - d**2.\nAnswer: -d**2*(d + 1)**2*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -z - 8 - 8, 3*z = -4*u - 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2. Let l = -5 - -7. Let g(j) = j**l + j**2 - j**2. Give i(g(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4283*z + 8863*z - 4364*z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000402010286 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -57*m + 26 - 40 + 25 + 19 - 31. Let s(i) = 56*i + 1. Calculate 5*l(q) + 6*s(q).\nAnswer: 51*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(84) - -1*sqrt(84)*2) + sqrt(84))\/(sqrt(12) + sqrt(120)\/(sqrt(160) - sqrt(10))).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - 3) - 1 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 1. Let f(a) = -2*a**3 - 3*a**2 + 4. Let h be 17\/5 - (-2)\/(-5). Let s(l) = l**3 - 3*l**2 + 1. Let i be s(3). Calculate h*p(m) + i*f(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -22*k + 2. Let z be g(1). Let b = -17 - z. Suppose -2*l = -5*l + b. Which is smaller: 9\/11 or l?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7155047221 + -227.\nAnswer: 7155046994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 + 6*r - 2. Let s be i(4). Let t(n) be the first derivative of n**3\/3 - 7*n - 935. Calculate t(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 12*g + 2*u + 9, 0 = -2*g - 3*u + 14. Put -26, g, 0, -2 in descending order.\nAnswer: 0, -2, g, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m + 24. Let t be g(10). Let x be ((-4)\/18 + t\/(-54))*6. Solve 3*s - x*k + 3*k = 12, k = -s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s + 23*v - 123 = 71*s, -2*s - 3*v + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let r = d + -5. What is the units digit of (-1 + 2)*11 + r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3) + 2 + 192. Let l = a - 138. Let i = l - 26. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 16. What is k(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321*h**3 - 55*h**2 + 13841*h wrt h.\nAnswer: 1926*h - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1209 and 249431.\nAnswer: 23197083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/8 or -4.7540217?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:45 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 42 - 28 - (-1 + 4).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4367, -8729, -13091, -17453, -21815?\nAnswer: -26177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23030332 (base 4) to base 11\nAnswer: 31525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/12*v**4 + 0*v**5 + 3 + 39*v**2 + 2\/15*v**6 + 16*v + 0*v**3. Find the first derivative of z(w) wrt w.\nAnswer: 16*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 107 = 8*k, 2*u = -2*k + 4 - 28. Sort k, 4, -1, 16, 0 in descending order.\nAnswer: 16, 4, 0, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y + 1. Let l be r(-3). Let n(w) = -2 + 8 + 5 - 3*w. Let j(b) = -10*b - 18. Let v(q) = q + 1. Let a(k) = -j(k) - 12*v(k). Give l*a(i) - 4*n(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1236, 1234, 1236, 1242, 1252, 1266, 1284?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*-1*(5 + -2). Let r(h) = -9*h + 2. What is the remainder when r(-7) is divided by (-7 + 266\/b)\/(1\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -23*w + 0*w**3 + 0*w**4 + 0*w**2 + 9\/140*w**5 - 1\/70*w**6 + 0. Factor l(z).\nAnswer: -3*z**3*(z - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3 + 1008*v**2 - 7920*v + 15744 = 0.\nAnswer: 4, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 137 - 22. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44910 and 71856?\nAnswer: 359280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 17*z - 1554. What is the remainder when z is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 8. Let m be j(-7). Let q(u) = -u - 2. Calculate q(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 - (-6 + 8)) + -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4630, -37152, -125448, -297412, -580938, -1003920?\n\"Answer: -4649*o**3 + 7*o**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a + 17*a + 35*a - 3 + 11*a.\nAnswer: 82*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 2?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-1))\/1)\/((-13)\/(-13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 892*h - 891*h - n, -5*h - 2*n - 130 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 3, n: 4}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (308\/(-234))\/(-2) + 107922\/467662?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3440.639g?\nAnswer: 3440639000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 81. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2)**42*(n*n*n*n**0)**(-33) assuming n is positive.\nAnswer: n**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1007.3199 + 10.5701. Let g = o - 1018. Which is bigger: g or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20 - 18\/(-15))*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5200 + -1?\nAnswer: -5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3962*x + 74774 + 174832 = 0 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43327 and -22.92.\nAnswer: 993054.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -16950 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 + 65*w**3 + 1235*w**2 - 1625*w - 7590 = 0?\nAnswer: -11, -2, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 - 27*q**3 + 42*q**3.\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 2*n - 15001 = 9*s, -n + 25004 = 5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -215*t**5 - 826*t**3\/3 - t**2 - 92. Find the third derivative of v(m) wrt m.\nAnswer: -25800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1821*y + 1403*y + 2365*y + 789840 - 29736 for y.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/10 + (-1 - -3). Let y = -260 - -262. Which is the smallest value? (a) h (b) y (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/675 and 24\/16145.\nAnswer: 2179575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114024\/47 + 2426. Which is the fourth smallest value? (a) -5\/13 (b) -4 (c) -0.2 (d) -3 (e) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3387*n**2 + n - 4 + 1125*n**2 + 1129*n**2 + 3 + 1132*n**2. Let j = 28 - 25. Calculate q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 0*k)*(0*k + 2*k - 3*k) + 2 - 2 - k**2 + 0*k**2 + 0*k**2 + k**2 + (-3 + 4 - 3)*(-2*k**2 + 4*k**2 - 3*k**2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 36*j. Let h(y) = -16408*y**2 - 2*y - 3. Determine h(u(g)).\nAnswer: -21264768*g**2 - 72*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/6*-2*-9. Let u(m) = -m - 1. Let q be u(-3). Find the second derivative of 2*h**3 + 0*h + q*h - c*h wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + k + 1. Let p(f) = -f**2 + 1. Let a(r) = j(r) + 3*p(r). Let o be 4*(-39)\/(-84) - (-5)\/35. Let c(s) = 3*s**2 + s + 3. What is o*a(v) - 3*c(v)?\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let j(z) = z**2 + z + 60. Let b be j(a). Suppose 4*m - b = m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*p + 2423443 = 12833448, 5*p = -2*n + 20819995. Round n to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - 2\/(-6). Let w be 5 + (h\/(-1))\/1. Let m(p) be the second derivative of -p**3\/6 + 7*p**2\/2 + 5*p. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {o: 3, g: 1, k: 1, t: 10, x: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70184033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(26)*1 - sqrt(26)))\/(1*sqrt(2)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 1670001 + 2\/1. Round b to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/15 - (-1)\/(-3). Suppose -t*o + 6*o = 2. Find the third derivative of 0*s**5 + 2*s**2 - s**2 + 2*s**2 - o*s**5 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 3*m + 5. Let k(p) = -3*p**2 - p - 2. Let c = 10 - 6. Let b(j) = c*x(j) + 10*k(j). Factor b(w).\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -42 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632 and 856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1062)\/(-24) + (6\/8 - 1). What is the highest common divisor of o and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 2. Let k be (-5)\/(90\/(-7)) - 1\/2. Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2127 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 12*l**2 + 6*l - 814. Let p be b(8). Factor -4\/9*g - 1\/9*g**p + 1\/9*g**3 + 4\/9.\nAnswer: (g - 2)*(g - 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {s: 4, n: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 1 - 5. Suppose -5 = -3*v - n. Is (-46)\/(-2*(0 + v)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049480219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3317*o**2 + 3*o**3 - 3318*o**2 + 136*o + 113*o as y*o**2 + c*o + h + l*o**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 15 - (-6 + 3 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 48. Let a(i) = -3*i - 15. Let v be a(q). Which is bigger: v or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2798 and -2810 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1453e4 (base 15) to base 10.\nAnswer: 979639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17207, -2\/7, -3, 2, 0 in ascending order.\nAnswer: -3, -2\/7, 0, 2, 17207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62873 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:23 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -603 + 607. Solve -q*b + 3*b - 5 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -634*z - 39320. Give h(-62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 - 855*q + 13770 = 0?\nAnswer: 18, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h**3 + 3373*h**2 - 4031*h - 588. Calculate t(-212).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + -6*(sqrt(104) + -1*sqrt(104) + sqrt(104) - sqrt(104) - sqrt(104)) - sqrt(104)))\/sqrt(4))\/(-2*sqrt(18) + sqrt(288)).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 596866906 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33718?\nAnswer: 2, 23, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218046 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.283616 + -0.4.\nAnswer: -0.683616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33*n - 387. Let z be j(23). Calculate the greatest common divisor of z and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0186 - 0.2186. What is the closest to -2\/9 in i, -7, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639179*f**2 - 819584*f**2 - 819594*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*l + 154*l + 155*l + 162*l + 163*l - 827*l + 1.\nAnswer: -17*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 6\/(-18) - (-5)\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637 - 610 + o + 1274.\nAnswer: o + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-11)*j**(-1\/6))\/(j**0\/((j**(4\/5)\/j)\/j*j)))**(-10) assuming j is positive.\nAnswer: j**(341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x - 12. Suppose x*u + 5 - 8 = y, -u = 5*y - 27. Is 9 a factor of 26\/8*u*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*q + 129*q - 97*q**2)*(-4*q - 5 + 5)*(4 - 1 + 1).\nAnswer: 1552*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a tonne in kilograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/790781? (a) -4 (b) 0.1 (c) 4 (d) 0.26 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 428297 by -5.\nAnswer: -428297\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-21.8.\nAnswer: 8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353168194 less than 78?\nAnswer: -353168116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67710937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8179 + 19514. List the prime factors of p.\nAnswer: 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407.1 times 4?\nAnswer: -1628.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-129)\/45*-1*-24. Let h = k + 69. What is y in 2\/5*y**2 + 3\/5*y**3 + 0 - h*y = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259126452 and 2916.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103254 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 609 by -203.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -34*v + 722. Let d(k) = -23*k + 478. Let p(j) = 14*d(j) - 9*u(j). Calculate p(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 35*z - 30 = -34*z, 0 = -3*l - 30*z - 165 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 397\/6. Sort 5, -2, y, 0 in decreasing order.\nAnswer: 5, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.5 * -0.2.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3238980?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24eb96 (base 16) to base 12.\nAnswer: -98829a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3205 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g**3 - 208*g**3 + 279*g**3 - 3781*g - 3.\nAnswer: g**3 - 3781*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237010 take away -0.5?\nAnswer: -1237009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4998 and 2357390?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/750 and 3 - (5031\/(-18))\/(-13).\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 74. Is -4 - f - (-14 - 2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 5. Let x be c(-4). Let r(u) = -3*u**3 + u + 1. Let g be r(x). Let z(l) = l**3 - l**2 - 4*l + 2. Determine z(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*c**2 + 28*c**3 - 6*c**2 - 26*c**3 as w*c + q*c**3 + l*c**2 + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 41 = 3*u - u, 24 = u - 4*a. Let g be (6\/20)\/(24\/u). Suppose 0 + s**4 + 3\/2*s**3 + s**2 + g*s**5 + 1\/4*s = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*z + 90. Let t(r) = r**3 + 9*r**2 - 16*r - 12. Let g be t(z). Let p = g + 46. Is -32 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 2.8. Let y = 3.06 + j. Let u = -3.06 + y. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/13))\/v)\/(v\/(v**(-5)\/v))*((v*v**(-3\/7))\/v)**(-2\/7) assuming v is positive.\nAnswer: v**(-4479\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27887363871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6649 - -10083. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/8 - 15*t**2\/4 + 75*t\/8.\nAnswer: 3*t*(t - 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l*o**2 - 3*l*o - 72*l + 28*o**4 wrt o?\nAnswer: -16*l + 336*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 + ((-14)\/4 - 5\/(-10)). Find the common denominator of (-2 - (-42)\/b) + 43\/(-135) and -187\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1761 and 981.\nAnswer: 575847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17))*1*-3 + ((-3*sqrt(136) - sqrt(136))*-6 + sqrt(136))\/sqrt(8))**2.\nAnswer: 396*sqrt(17) + 8309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:49 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14628.\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -19. Suppose 0 = -5*m - 2*z + 24 + t, m = 5*z + 5. Calculate the remainder when (-160)\/(-24) - (-1)\/3 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k**4 - 38*k**4 + 2 - 5*k**2 + 71*k**4 + 3*k**3 + 4*k + 0 to the form c*k**2 + w*k**4 + u + m*k + y*k**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6235729 and 16626.\nAnswer: 6252355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.75. Let j = s - -0.45. Let r = j + -0.399976. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from ggzggbggvggzzzbgzb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20831101174 and -1.\nAnswer: 20831101173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 340 = 2*v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -271*t + 270*t - 2*t**2 + 1 + 2 + 31*t**3. Let v be m(1). Suppose v + 53 = -14*i. Are -9 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/j**(-8\/3)*j*j)\/j**(-24))\/(j**(1\/7))**(2\/15) assuming j is positive.\nAnswer: j**(3323\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**26\/k*k\/k**(-10) assuming k is positive.\nAnswer: k**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*p**2)*(8408 + 1116 + 547 + 1656).\nAnswer: 23454*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r + 3*r**2 - 13*r - 7 - 2*r**2. Suppose -6*q = 6*q - 36. What is a(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/27)*l\/(l\/l**(2\/5)))\/((l\/l**34)\/(l\/((l**(-3\/5)*l)\/l))) assuming l is positive.\nAnswer: l**(973\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) 4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*l + 10. Let s = 2 - l. Let p be 1*s*(-3)\/1. Solve 0 = k + 1, 4*r - 4*k = k + p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + p + 7. Let o be n(0). Suppose 2*c = o*c + 30. List the prime factors of (-14)\/3*9\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001334992 to six decimal places.\nAnswer: -0.001335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47138, 188539, 424206, 754139, 1178338, 1696803?\n\"Answer: 47133*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155.02 - 155. Let u(j) = j**2 - 6*j - 4. Let l be u(6). Which is the third biggest value? (a) 2\/5 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/(-19) + 9\/(-6)*2. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 27*j - 3285. Let m = j + -643. What is the remainder when 29 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:38 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 5) in base 15?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) - (-40)\/7. Let m(n) = 26*n + 22*n - 6 - 74*n + 23*n. Let t(d) be the first derivative of 5*d**2\/2 + 11*d - 17. Calculate s*t(q) + 11*m(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/276068 and 15\/8.\nAnswer: 552136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 14 = -4*g, -2*g = a - 5026 + 5042 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose -v + 4 = y, 0 = -5*w + 3*v + 18. Let s(l) = 1 - 3*l**w - 99*l + 99*l. Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1880251km to millimeters.\nAnswer: 188025.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 5. Let g(k) = -4*k - 19. Let q(d) = -4*g(d) + 18*u(d). Let n be q(-10). Let m be 15\/n*(-6)\/(-3). Put 3, -5, m in decreasing order.\nAnswer: m, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 9*c - 3. Give n(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let d(o) = 2085*o. What is d(x(l))?\nAnswer: -4170*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 237.1. Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 7*v - 1216. Let y = v - -219. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2023338008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 - -5.1. Let q = 3 - z. Let k be (-343)\/210 - 2\/(-15) - 0. What is the second smallest value in -4, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + s**3 - 2*s**3)*(-94 - 4152*s + 4150*s + 12).\nAnswer: 4*s**4 + 164*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3\/(-6) - (-45)\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c4683 - 3?\nAnswer: -2c4686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + 4*v + 8. Let k be h(9). Let i = k - -572. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h + 95*h + 22*h + (4 - 4 - h)*(-3 + 6 - 2) - h - 4*h + 4*h.\nAnswer: 100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 291*d - 578. What is c(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5727.233 millimeters to kilometers.\nAnswer: 0.005727233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9962 and 3281?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49261838983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 95 - 1347*m**3 + 1336*m**3 + 49.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -1 - 7\/4*s**2 - 4\/3*s**3 - 3\/8*s**4 - s. Find o, given that t(o) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9083575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) - 144\/(-798).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-1045 - -949) + (0 - 1) + 1 + 13).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 + -111032?\nAnswer: -111323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 26. Let o be t(-9). Suppose 2 = -2*s - 4*q, s - 7 = -3*q + 5*q. What are the prime factors of (1\/(-3)*o)\/(s\/(-621))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 506, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d**(-3\/41)*d**12*d*d**(-17))**(-26) assuming d is positive.\nAnswer: d**(2054\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 192\/(-14) + 6\/(-21). Let z be (-4)\/(-14) + 18\/h + -4. Let i be z + (-60)\/(-9) + 2\/6. Solve 2*u - 6 = -u - 5*x, i = u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112539269 less than 112539270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.046782*-0.1\nAnswer: -0.0046782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 60*g + 1777. Let p be j(81). Which is bigger: p or 526\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 28*w - 1221 = 33*w, 1176 = 4*y + 4*w. Let p = y + -293. Let f(n) = 2*n**2 - 7*n - 6. Calculate f(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 23 = r + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 513679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-364))\/(6\/(-40)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m. Let v(b) = 54*b. Calculate v(d(h)).\nAnswer: 270*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 11*c - 1743. Suppose 0 = 10*f + c - 1479. List the prime factors of f.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:20 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**3\/21 + 13*n**2\/7 + 24*n\/7 + 286. Factor c(g).\nAnswer: 2*(g + 1)*(g + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42676\/(-190680) + 4\/70\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*-18*20\/(-420)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -12. Let h = 11 - 19. Let u = d - h. Solve -m + u*z + 12 + 2 = 0, 4*z = -3*m - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11383, -22778, -34169, -45556, -56939, -68318?\n\"Answer: 2*j**2 - 11401*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -31, 0.5, -1\/5, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.0404 (c) -5 (d) -1 (e) 5 (f) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 5*s + 3. Suppose 0 = -14*d - d + 75. What is t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 8*z + 0*z - 3*z**2. Let m be u(-4). Let q be ((-8)\/m)\/(((-12)\/14)\/2). Which is the nearest to -1\/7? (a) 0 (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*i + 6*q + 780, 3*i = 4*q - 468. Let l = i + -210. Calculate the remainder when (6\/(-4))\/(9\/l) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175854704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -3)\/(5\/(-25)))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (16 - -12) + -19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -799.9, -0.2, -5, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1889 + 8*h - 795 - 1094.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44117 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.932 - 3.432. Sort 5, h, -3\/8, 4\/7, 0.3 in descending order.\nAnswer: 5, 4\/7, h, 0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) + (-134)\/(-12). Let t = 12 - p. Suppose 0 = -3*y + 14 + t. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + 2.9. Which is the second biggest value? (a) -3 (b) i (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45994\/(-52))\/61)\/(-1)*2*1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (37 + -33).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -n + 18, 188*n - 183*n = 2*k + 18 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1448\/3 + -209966\/435. Let f = 276\/1015 - z. Determine b so that 2\/7 + 2\/7*b**3 - f*b**2 - 2\/7*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -65. Suppose 0 = f - 1, b*q - 6 = f - 1. Let v(d) = -547*d + 547*d + 3 + d**2. Calculate v(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i + 104915. Let j(o) = 24*o. Determine j(c(h)).\nAnswer: 360*h + 2517960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 378, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p**5\/19 + 2856*p**4\/19 - 108332*p**3\/19 - 401120*p**2\/19 + 303102*p\/19 - 52488\/19 = 0.\nAnswer: -4, 1\/3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 2003*q**3 - 983*q**3 + 2*q**4 + 5*q - 1012*q**3 + 6 to j*q + y + f*q**2 + v*q**4 + i*q**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let i(s) = -8*s**2 - 43 - 108*s**2 + 43 - 53*s**2. Give b(i(j)).\nAnswer: -57122*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3\/5 (c) 0.5 (d) -1 (e) -2869\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20500.9 centimeters?\nAnswer: 0.205009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1642328 and 2552.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -933*c**2 - 235*c.\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-10))\/11*1\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 7. Let q(r) = -19*r - 1068. Let p be q(-56). Give o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 101736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1. Let l(d) = -16*d + 2. Let j(v) = 4*f(v) - l(v). Let q be j(2). Suppose q = n - 1. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((-3)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 7*q - 4*q + 6, t - q - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/63*3 + 86\/7. Let p be 14\/4 + (-18)\/h. Suppose -u - 4*u - p*o + 445 = 0, -3*u - 2*o + 267 = 0. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3719169065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 1. Suppose 574*p = 591*p + 68. Let b(i) = 2*i**3 + i**2 - 2*i + 4. What is p*o(c) - b(c)?\nAnswer: -2*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -235. Let h(u) = -8*u**2 - 4*u + 6. Let o(j) = -8*j**2 - 3*j + 5. Let d(m) = -4*h(m) + 5*o(m). What is d(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 + 351. Let d = -97 + h. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let d(n) be the third derivative of -4*n**2 + 0*n + 0*n**4 + 0 + 1\/60*n**5 + 0*n**3. Calculate d(x(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n + 3*n + (-7 - 4 - 4)*(-2 - n + 2) - 2*n + 0*n + 4*n - n - n + n + (-2*n + 3*n - 3*n)*(2 - 3 - 1))*(7*n**3 - 5*n**3 + 3*n**3).\nAnswer: 135*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:17 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + m - 8*m + 91*m**2 - 466 - 89*m**2 to s*m + a*m**2 + u and give u.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 - 2*b**4 + 4*b**3)*(3881*b + 4231*b - 7817*b) + 2*b**5 - b**5 - 4*b**5.\nAnswer: -593*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 10569.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*t + 102*t = -618 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let n(p) = -2*p. Let u = -83 + 79. Let q(i) = 2*i. Let x(g) = u*q(g) - 5*n(g). Determine x(z(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-1 + -5 - (0 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48656 is divided by 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.866 - -1.1008970291\nAnswer: 1.9668970291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 124 + -114. Suppose h*g = -327 + 927. What is the remainder when g is divided by 35\/4 - (-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-8460)\/(-55) + (-54)\/(-297). Calculate the highest common divisor of 108 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 - 12444390*s**2 + 7743216789405*s - 92916809489340 = 0 for s.\nAnswer: 12, 1244433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22.55048 or -42?\nAnswer: -22.55048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)*f\/(f\/f**(-1))*((f**(-1\/2)*f)\/f)**(-21\/5) assuming f is positive.\nAnswer: f**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 5*j - 4. Suppose d - 2*d - 5*g = -25, 11 = -d + 4*g. Let x be c(d). Let a be ((-6)\/9)\/(x\/(-6)). Which is greater: a or -12\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5194940 or 5194939?\nAnswer: 5194939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 115 = 4*l, -8*l + 4*l = c - 121. Let j be (9\/12)\/(21\/(-56)). Let b be 330\/99 + j\/6. Calculate the greatest common factor of l and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12.8, -1\/4, 6, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 39*x**2 + 225*x + 224. Let m be q(-44). Solve -4*c - m*l = 8, 2*c + 2*l - 7*l = 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 159. Suppose -q = -4*w + 71. Let c(l) = l**3 - 9*l**2 - 35*l + 24. Let f be c(12). Calculate the greatest common divisor of w and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 3*q**2 - 3*q + 2. Let y(p) = -17*p**3 - 4*p**2 - 6*p - 1. Suppose 3*h - 4*h - 1 = 0. What is the remainder when y(h) is divided by g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*t**6 + 29*t**5 - 1302*t**3 + 13268981*t**2.\nAnswer: 25320*t**3 + 1740*t**2 - 7812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 237*t**3*v - 1163*t**3 - 117*t**2 - 274*v**2 with respect to v.\nAnswer: 237*t**3 - 548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1354*v*x**3 - 4*v*x**2 - 8*x**6 + 86*x - 3 wrt x.\nAnswer: 8124*v - 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53843103?\nAnswer: 3, 37, 53897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (0 + -1))*0. What is y in o - 2 + y - y**2 - 3*y + 1 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78240?\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (sqrt(363) - sqrt(363)*-2 - sqrt(363)))*-6 - (sqrt(363)*-1 - sqrt(363))*3)**2.\nAnswer: 52272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191?\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-177)\/(-15) - (-38)\/90.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1407 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {i: 14, z: 5}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 36. Give p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 40 = 4*u, 0 = -3*u + 4*u + 4*t - 10. Let d(k) = k**3 - 10*k**2 + k - 7. Let f be d(u). Solve f + 2 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 248264100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17355252 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 - 1\/5))\/(1003212\/(-179145))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Let y = n + -2. List the prime factors of 18 - (-3 + 3 + y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -2*l + 11*y + 25, -2*l = 5*y - 33. Suppose l*h - 15*h + 4 = 0. Which is the second smallest value? (a) 0.1 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 20 = -3*y. Let x(l) = -l**3 + 4*l**2 + 7*l + 10. Calculate the remainder when x(y) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 44 = h. Suppose 9*x = 5*x - h. Let g(v) = 13*v - 13. Let k(t) = 9*t - 9. Let f = -8 + 13. What is f*g(q) + x*k(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01023? (a) 8 (b) 2\/25 (c) 0 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 13 + 18 + 43 + 16.\nAnswer: -2*q + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 73*i - 692. Calculate j(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5472, 10951, 16430?\nAnswer: 21909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c, -4*w + 6*c + 1258 = 5*c. What are the prime factors of w?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 5, s: 13}. What is prob of sequence xss?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - ((-2246132)\/(-12) + 2). Let j = -74736 - s. Let v = 25444 - j. Round v to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/168 - (-8)\/(-14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -192 + 101 + -1 + (-1 - 3). Is 14583\/(-4)*(u\/9)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z - 3328 + 42335. Let p = 2995 + z. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 27. Let u = 10 + m. Let r = 20.9 - u. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -231?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 6 = 3*i. Suppose 2*f + 3*y - 2 = 2, 5*y = -i*f. Solve b + 4*g - 5 = 0, -3*g + 4*g - f = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 2*n**4 + 13*n**3 + 72328*n**2 + 72329*n**2 - 144656*n**2 in the form u + b*n**4 + d*n**3 + j*n**2 + v*n and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5365)\/2950 - -2) + (4 - (-24)\/(-6)) and -92\/885.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 s when four letters picked without replacement from sstbtttntslsbtstw?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -0.2, 1\/6, -5 in ascending order.\nAnswer: -5, -0.2, 1\/6, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12679, 12786, 12895, 13006, 13119, 13234?\n\"Answer: u**2 + 104*u + 12574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. What is the third derivative of -3*t**3 + t**2 - 2*t**h - 3*t**2 wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03791 - -16.46191. What is q rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -18073.\nAnswer: -18067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3534435 - 2?\nAnswer: 3534433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 17702, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (35\/385)\/(5\/((-110)\/(-12)))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 31*w + 54545. Give q(-250).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (238\/21 - 8 - 4)*9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1731322?\nAnswer: -1\/1731322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 o, and 1 g when four letters picked without replacement from qorgwgegrowg.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6545*m = -6728*m + 6039 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - u - u)*(-10*u**2 - 10*u**3 + 10*u**2) + 0*u**4 - u**4 + 0*u**4 in the form v*u + i + s*u**3 + w*u**4 + z*u**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 3, o: 2, j: 1, i: 1, n: 4}. What is prob of picking 1 i, 1 n, 1 m, and 1 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*w + 17 = 0, -9*w + 20 = 5*c - 12*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose -5 - 5 = -5*r. Which is the third biggest value? (a) -0.5 (b) -8 (c) k (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 4, z: 2}. What is prob of picking 2 s and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 5)*(0 + 8\/(-4)). Suppose n*u + 5*j = 33 + 5, 3*u + 3*j = 39. Suppose -184 = u*d - 445. Is 29 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -755, -1690, -2999, -4682, -6739, -9170?\nAnswer: -11975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 550.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.193\nAnswer: -0.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 - 1 = 0. Suppose -j*g + 33 = 9. Are g and 14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**7\/84 + 25*u**4\/24 + 14*u**3\/3 + 8. Let q(z) be the third derivative of k(z). Differentiate q(g) with respect to g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 660*q**2 - 288440*q + 8697. Determine u(437).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = -6*s. Suppose 7*r - 39 = 2*r + 3*i, 2*i - 4 = s. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/13 - 9721716*c**2\/13 + 11813911917570*c\/13 + 141768342941400\/13 = 0.\nAnswer: -12, 2430435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239*c**4 - 108*c.\nAnswer: -2868*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*f + 2 = 4*f, -2*q - 1 = -5*f. Let x(h) = -3*h - 9. Let t(z) be the third derivative of z**4\/12 + 5*z**3\/6 - 4*z**2 - 13. Give q*x(v) - 5*t(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + (359 - 6) - (-15)\/(-3)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac26b (base 13) to base 14\nAnswer: -81bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-3*q**2 - 2*q**2 + 3*q**2) + 235 + 2301981*q + q**2 - 2301981*q as i + v*q**2 + s*q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -478e3a - -2?\nAnswer: -478e38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 1597 - 1017)*(4*h**4 - 2*h**5 - 4*h**4).\nAnswer: 5006*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140664017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -484, -973, -1462, -1951, -2440?\n\"Answer: -489*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-6)\/20*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.27 - 0.27. Put 0.5, -0.2, p in increasing order.\nAnswer: -0.2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11248 and 185?\nAnswer: 56240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 317270 = -5*n, -4*q + 335812 = -5*n - 87223. Suppose -q - 65703 = 4*o. Let l = o + -97133. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258 + 1288\/5. What is the smallest value in m, 2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*u. Let d be u\/(-2 + (-27)\/(-12)). Sort -3, d, 9.\nAnswer: -3, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + v = 592 - 613, 5*v + 10 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 38*d**2 + 128*d + 89. What is g(-41)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5336 - 5336.4. Put 1\/4, 0.3, -27, 5, x in descending order.\nAnswer: 5, 0.3, 1\/4, x, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 + -2 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161\/(-483)*(0 - 9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 - -307. Differentiate -7*q**2 - p*q**2 - 59 - 47*q**2 wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17)\/((((g**(-16)\/g)\/g*g)\/g)\/g))\/(g\/(g**33*g*g*g*g)*g**(-2\/15)*g) assuming g is positive.\nAnswer: g**(557\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**4\/5 - 38*z**3\/5 - 302*z**2\/5 - 106*z\/5 + 88 = 0. What is z?\nAnswer: -4, -5\/3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 23 - 3*f + 9)*(15*f**4 - 8*f**4 + 8*f**4).\nAnswer: -30*f**5 - 210*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/45? (a) 1\/76 (b) -3 (c) 0.6 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 99524. Suppose y - s = 36476. Suppose 4*v = 5*v - y. Round v to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 113\/1287?\nAnswer: 113\/1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 4)*2 + -46*1. Let s = a - -49. Let y(x) = 7 + 9*x - s - 1 + 2. Let z(c) = 17*c + 13. What is 11*y(q) - 6*z(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -6*t**5\/95 - t**4\/19 - t**3\/57 - 26*t**2. Factor z(c).\nAnswer: -2*(6*c + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 5*l. Suppose -i + 5 = -0*i. Let p(j) be the third derivative of j**6\/120 - j**4\/4 + 11*j**2. Give i*p(g) - 6*k(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 1, e: 3, l: 3, v: 2, u: 3}. What is prob of picking 1 e, 1 u, 1 r, and 1 l?\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 30.09, 2\/5, -155, -2\/3 in descending order.\nAnswer: 30.09, 2\/5, -2\/3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-5616647.\nAnswer: 50549823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i**2 - 2*i - 1. Let j be r(-1). Let g be -10*3*j\/(-2). Put 2, -4, 0, g in decreasing order.\nAnswer: 2, 0, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.5 + 9.2. Let t = -8 - -4. What is the closest to -1\/3 in t, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227.6 + -232.6. What is the nearest to -0.1 in -1, z, 8\/11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s + 112. What is the remainder when 53 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 3 - 3 - 1 + f + 1 + (3*f - 5*f + f)*(3 - 4 + 0) - f + 0*f + 3*f + (-2*f + 2*f + f)*(8 - 1 - 3) + 2*f - f - 2*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 76*d**3 + 16*d**2 + 82*d + 108. Let i(w) = -63*w**3 - 15*w**2 - 83*w - 110. Let l(t) = -6*i(t) - 5*j(t). Find s such that l(s) = 0.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 3. Let x be z(-5). Put 5, -1, x, 1 in ascending order.\nAnswer: -1, 1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:48 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 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: Let r be (20 - -45) + 2*1. Suppose 0 = 2*z + 11 - r. Solve m + z = 5*k, -m - 4*k + 11 = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 118, 229, 342?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7475\/(-702)*(-5)\/(-50) and 89\/18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (4 - 6) - 8)\/(1\/11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53687404*o**2 + 30488049*o.\nAnswer: 107374808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.93941 + 0.06059. What is the nearest to 13 in -8, i, 4\/9, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 324462237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 minus 11178085195.498?\nAnswer: -11178085192.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 424, 954, 1696, 2650, 3816, 5194?\nAnswer: 6784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 300 = -4*q, q + 5*o + 43 = 134. Let f = q - 68. Suppose 3*v - 1 = -4, -3*v = f*z - 456. Does 51 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -308.\nAnswer: 12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 62*v**2 + 800*v + 150. Determine i(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -12331004?\nAnswer: 12331003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 4. Let s(x) = -15*x**2 - 8*x + 6. Give h(s(m)).\nAnswer: -15*m**2 - 8*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*i**2*u**3 + 4*i**2*u*w - i**2*u - i*u**2*w + 72*u**3*w - 2*u*w wrt i.\nAnswer: -48*u**3 + 8*u*w - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2915.3099 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/6 + 161*l**4\/6 - 1205*l**3\/6 - 2897*l**2\/6 - 255*l = 0.\nAnswer: -1, 0, 10, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.35444 - -19.455. Let h = -1.1 + f. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -25*d + 66, -77 = -134*w + 131*w - 5*d for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -85.3 and 113848?\nAnswer: 113933.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -16 + q + 0*q**2 + 0*q**3 - 1\/2*q**4. Let o(v) = -40*v. Determine o(h(z)).\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, -5, -10, 3, 5 in decreasing order.\nAnswer: 5, 3, -5, -10, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53280, -106566, -159852, -213138?\n\"Answer: -53286*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 53. Suppose 0 = -p - 2*d - 21, -d = p - 61 + 83. What is the smallest value in 3\/2, p, l, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3*(k**9*k)\/k assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - h - 8. Let q be -1 - 2\/(-8) - (-140)\/16. Suppose q*v - 3*v - 10 = 0. Calculate the remainder when 32 is divided by b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72616 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.281 - -0.281. Let n = -162\/5 - -32. What is the nearest to n in y, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4 + 3)*-4. Suppose 6*l - 3*l + 3*l**5 - 2*l - 2*l**3 - a*l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = -g. Let r = g - -3. Calculate the remainder when 31 is divided by (-1)\/(21\/r + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 18*q - 113928 = -0*q. Does 261 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*h = 35 + 19, -5*s = -2*h - 64. Let q be s*(-5)\/60*-4. Suppose f - 78 = q. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 4*d - 4*d)*(-2925 - 155*d + 2925).\nAnswer: 310*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -18*b + 56. Let s(t) = -2*t**b + 4 - 23 + 5 + 14. Let f(y) = 186*y - 1. Give s(f(p)).\nAnswer: -69192*p**2 + 744*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 88 = 2*h. Let u(n) = n**2 + 8*n + 32. Let o be u(-10). Let i = h + o. Calculate the greatest common divisor of i and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*h = 958, 0*h + 776 = 4*n - 4*h. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, 7, -1.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**3 - 39040*k**2 - 468912*k - 1407168 = 0.\nAnswer: -6, 9772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -21. Solve -q*b**3 - b**4 + b**3 - 4*b**3 - b**2 + 4*b**3 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47004664.\nAnswer: 2, 7, 839369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-24 - 1) + -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -16. Let v be ((x - 2) + 2)\/(-1). Suppose -4*a = 4*n - 24, v*n - n = -5*a + 54. What is the least common multiple of a and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w + 879. What is the smallest common multiple of 54 and a(-46)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455511 at least -1455511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -1.4?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8*p - 1 + (3 - 2 - 2)*(-p - 3*p + 3*p) + 2 - 2 - p)*(-2*p - 2*p**2 + 2*p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2*(-2)\/(-38)). Suppose 5*f = y - 4. Differentiate -1 + f - a - a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2 + 4*w. Let z(r) = -3*r. Give z(p(u)).\nAnswer: 15*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002044 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7763*r - 7726*r = 31598. What is the remainder when r is divided by 105?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*sqrt(78)\/((1*sqrt(36))\/sqrt(6)).\nAnswer: -5*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-30) + (-2418)\/(-5). Suppose 0 = 6*y - o - 3. What is the greatest common factor of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 13*l**2 - l + 12. Let n be k(-13). What is the greatest common divisor of 10 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243156947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s**2 + 3*s)*(-2 + 2 + 4*s + (79 + 41*s - 79)*(-1 + 1 + 2)) + 2*s**2 - 2*s**3 - 2*s**2.\nAnswer: -88*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 22176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*p = -16, 3 = 11587*c - 11587*c + 3*p for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 2*y**4 + 2*y**3\/3 - y + 1. Let g be 3\/(-6)*(-12)\/6. What is the units digit of n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -8. Let i = 0 - d. Suppose 8*o - 11*o = v - 17, -2*o + v = -3. Solve -2*c + o + i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*z = 3*j - 1095*z + 15, 0 = 5*j - 9*z - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/(27\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 518411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.4 (c) -1\/8 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -9. Suppose 0 = -s*z + 3*z + 44. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3599126.\nAnswer: 2, 1799563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0165 + 58.4165. Let v = d + -54. Let l = v + -4. What is the third smallest value in 2\/19, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -157, -235, -313, -391?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -10 - -10 - (0 - 40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**3 + 7*u**2 + 4*u - 5. Suppose 0 = 5*m - 0*m + 25. Let h be l(m). What is h rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 + 10 = -2*y. Suppose -4*t - 4*n - 4 + y = 0, -t + 5*n - 22 = 0. Solve t*f - f - 20 = 3*v, -4*v - 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2788, -2794, -2802, -2812, -2824, -2838, -2854?\n\"Answer: -f**2 - 3*f - 2784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(88) - sqrt(88)) + sqrt(88))*2)\/sqrt(8).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}