diff --git "a/data/dm_maths/full_data_2/1413_11255.jsonl" "b/data/dm_maths/full_data_2/1413_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1413_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -3 divided by -574290\nAnswer: 1\/191430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/19)\/(y\/y**(1\/26))*(y**3)**34 assuming y is positive.\nAnswer: y**(49861\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32780760 divided by 819519?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u**2 + 29 - u**2 + 16*u + 6*u. Calculate the lowest common multiple of (28\/8)\/(3\/6) and j(23).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 30. Calculate c(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.93 + -1.93. Put -2\/11, 0, s, 2 in decreasing order.\nAnswer: 2, 0, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55011080*t**4 - 4148297*t?\nAnswer: -660132960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f + 9 = 2*x, -5*f + 25 = 4*x. Is ((0 - -4) + 9)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -22, 5 in decreasing order.\nAnswer: 5, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14775944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2411*u**3 - u**2 + 3*u + 5. Calculate the remainder when j(-1) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*s + 76 = 0, 0 = s - 4 + 3. Let i be (u\/8)\/(0 + 1). Suppose -r - i*x = 2*x + 27, -4*r - 3 = -x. Put 3, 1, r in decreasing order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -0. Let m(n) = n + 3. Let l be m(c). Let p(r) = -4*r - 2*r + r**2 + l*r. Let a(q) = -5*q**2. What is p(a(k))?\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*a. Suppose 25 = 5*b - 0*b. Let u = -26 + 33. Solve -3*r = -2*j + u, b*j = -a*r - 2*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -253, 1, 0.28?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28386367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3789 - 3787. Let x(k) be the third derivative of k**4 + 2*k**l + 1\/4*k**5 + 1\/40*k**6 + 0 + 0*k + 2*k**3. Suppose x(j) = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((0 - -12)\/6). Suppose -29*z + 16*z + 182 = g. Solve 6 = 17*d - z*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4362, 4367, 4360, 4335, 4286?\nAnswer: 4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 10 = -56*p - 26*l, 0 = 2*p - 3*p + 4*p + 5*l - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 74 - 22 + 12*x - 22*x - 22 + 19*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.011 and -0.0339.\nAnswer: -0.0449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s - 4*s + 42. Suppose 9 - 34 = -5*q, q = s*n - 173. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)*g**(2\/19) assuming g is positive.\nAnswer: g**(-3\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.106 + 0.466. Let v = -22.4 - c. Round v to two dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*y + 9. Let d be 280\/126 - (-2)\/y. Solve 2*f + 16 = d*t - 2*f, 0 = -3*t + 2*f + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1.62, -4?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*k + 9504 = 243*k - 383*k for k.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2561 in 0.6, 41, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617893 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9894078 or -9894079?\nAnswer: -9894079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404 - 406. Let t be (l\/(-18))\/((-1)\/40*5). Suppose -3 = c + 2*c. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 177560651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 73*k - 16. Let z be q(-37). Suppose 0 = 3*c + 2*c + 20, f = c + 32. Calculate the highest common factor of f and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 4*w + 143. Let f be p(-10). Let n be 4\/f*(7 + 2 + 6). Let v = 0.5 - 1.5. Which is the biggest value? (a) -2\/3 (b) v (c) -0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3500 - -3554. Solve -53 = -n + u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c71 + 3?\nAnswer: 5c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, 2\/15948987 in increasing order.\nAnswer: -2, 2\/15948987, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -1330\nAnswer: -13\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 - 4*y**2 + 5*y**2. Let u(h) = -9*h**2 + 7*h - 35. Let k(x) = -10*x**2 + 8*x - 40. Let o(s) = -7*k(s) + 8*u(s). Calculate o(z(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 200*t\/3 + 5000\/3.\nAnswer: 2*(t - 50)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m - 28. Suppose -20 = -m*s + 2*s. 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 0 - 1352*h - 1357*h + 2714*h - 5.\nAnswer: 5*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(-14)\/70*25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 16) to base 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 33 + 23. Let b = -6 + t. Suppose h = b + 31. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a. Let u = -123 + 125. What is the remainder when z(-3) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084534 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41231\/11067150 - -2\/2487. What is the common denominator of i and -56\/15?\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555142.\nAnswer: 2, 777571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138881.38013 + 139539.596. Let u = 668.216 - s. Let m = u + -10. Round m to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 2656581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*w + 8 + 23 = 0, -99*o - 3*w - 30 - 12 = -96*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:52 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**6*q))**43)**25)**35 assuming q is positive.\nAnswer: q**(-225750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*a - 0. Let w(s) = 2*s - 1. Let o(c) = c + 1. Give a*w(l) + o(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69814, -69767, -69680, -69547, -69362, -69119?\n\"Answer: v**3 + 14*v**2 - 2*v - 69827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/25*(-100)\/(-240)*6 + 268\/(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -180 + 134 + 100 + -2 + -12?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418345439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 2*n - 121*n**3 + 3*n + 104*n**3 - n + n**2 to the form f*n + c + p*n**2 + d*n**3 and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 234*x**2 - 9458*x - 301. Determine g(52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -40. Let x = -55.6 + j. Let c = x - -22. Round c to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1229.2 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 9*b**3 - 3*b**3 + 30.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4338466 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21832 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - (14 + -47)) + (-2 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 0*f**3 - 30*f**2 + 0*f**3 + 40*f + 5*f**2 + 5*f**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*v**2 - 17964 + 17964 + 111*v**2.\nAnswer: 1234*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(19\/152*9\/(-36))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9069 (base 11) to base 5\nAnswer: 341204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 2. Let h = -9.91 - 0.09. Let o = h - s. Sort o, 4, 1 in ascending order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -178, -169, -160, -151?\n\"Answer: 9*w - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-6)*4 + (-10)\/15. Let f(m) = q - 159*m**2 + m**3 - 2*m - 22 + 159*m**2. Determine f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -3*u - 144, 0 = m + u - 48. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 48090.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 + 305 - 305 - 9*d**2. Let j(x) = 2948*x. Determine j(g(p)).\nAnswer: 2948*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + -1 - 2. Solve 7*f - 3*f = h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -4 + (-16 - (14 + -62))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/11 + (4*1 - -1). Suppose -u*v - 1270 = -9*v. Does 33 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3 - 5955*y**2 - 8868483*y - 8862529 = 0.\nAnswer: -2977, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563165?\nAnswer: 5, 163, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 24 = 2*g, 0*g - g = f - 18. Suppose 46 - 9 = -3*o - p, -4*p = -8. Let v = o + f. Calculate the remainder when 20 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311181 and 606.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 432. Let t = h - 264. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000 divided by -400?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 45 - (-8 + 6972\/84)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 2 = 0. Let p(z) = -3*z**3 + z - 1. Let r be p(n). Is (2\/r)\/((-5)\/165) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*(-8580)\/440\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8409 is divided by 270.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let p = 18 + -4. Let f(q) = -p*q**2 - 5*q**2 - q**2. What is f(h(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421003 to the power of 1\/2, to the nearest integer?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*q + 600 = -202*q - 182*q. Which is smaller: q or -666\/29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33377 and 7.\nAnswer: 233639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {z: 1, e: 7, y: 1, w: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -864 + -c?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:20 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 18)*(9 - 2 + 0)*(-a**3 + a**3 + 6*a**3).\nAnswer: -798*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 3, z: 4, f: 6}. Give prob of sequence zff.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - s**3 + 41*s**2 + 2*s + 4 - 43*s**2 to the form x*s**2 + l + p*s + y*s**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -22*c**2 + c + 6. Let j(y) = -y**2 + 1. Let w(u) = -6*j(u) + v(u). Let k(p) be the first derivative of -p**2\/2 - 751. Determine w(k(n)).\nAnswer: -16*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/12 + 1505*f**4 + 10872120*f**3 + 20*f**2 + 5*f + 3. What is s in l(s) = 0?\nAnswer: -3612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3886 times 109771\nAnswer: -426570106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*30394.28\nAnswer: 60788.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Let n(g) = 9*g**2 - 20*g**c + 22 - 3*g**2 + 19*g**3 - 9*g. Let f be n(5). Solve 4*q + 4 = 3*u, -2 = -f*u + 4*q + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 + -94. Calculate the highest common factor of 84 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5472))\/(sqrt(4)\/sqrt(2)*3) + (((-1 + sqrt(304) - sqrt(304))*-4)**2 - -5*(sqrt(304)*1)**2).\nAnswer: -4*sqrt(19) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-6)*(-12)\/(-1). Let o = g + 127. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose 183256 = -v*z + 4*z. Suppose 5*f - z = 16686. Round f to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -526*d**3 + 5*d**2 + 2*d wrt d.\nAnswer: -3156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1\/6, -2\/9, -9\/1166?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) -8\/5 (c) -0.4 (d) -0.5 (e) -6 (f) 225.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212 - 10?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z + 52. What is j(-14)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*d**3 + 46*d**3 - 935*d**3.\nAnswer: -818*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -889206 + 889206 + 3859*p as u + k*p and give k.\nAnswer: 3859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67 + 105.\nAnswer: 104.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/15 (b) -39633 (c) -0.05 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 3. Factor -22*v**2 + 0*v**3 + 19*v**2 + 3*v**4 + 2*v**j - 2*v.\nAnswer: v*(v - 1)*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = 4*u - 3*u, 2*u - 24 = -5*f. Suppose r = u*r + 2. Is 3 a factor of (-1)\/(r - (-33)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*j**2 - 1022*j**2 + 390*j**2 + 325*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3509 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009284451 rounded to 5 decimal places?\nAnswer: -0.00928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.2. Let w be ((3\/2815)\/(-3))\/((-1)\/(-1136)). Let c = w + 2\/563. What is the second smallest value in -3, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 24550.3114?\nAnswer: -24546.3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*c + 8 = 3*c, -2*c - 5 = -5*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 6*c**2 + 437*c**3.\nAnswer: 437*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2026*t + 554*t + 605*t to the form k + s*t and give s.\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - (0 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbbburbbbrrbrlbrlrb. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -2*g**3\/3 - 5*g**2\/2 + 5*g - 19. Let p = 5273 - 5272. Let x(f) = f**2 + f - 1. Determine p*b(c) + 5*x(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-24 - 3 - -17 - (-1 - -2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 7*r - 5*r)*(1 - 1 + 2) + (3*r - r + 0*r)*(4 + 4 - 2)*(3 - 1 - 4).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*c**3 - 175*c**3 + 2*c**4 + c**2 + 31 + 9*c**4 - 31 + (-3 - c + 3)*(c - c + c**3) as n + p*c + w*c**2 + f*c**4 + t*c**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 577.8266kg to grams.\nAnswer: 577826.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/7 + 110*y**4\/7 + 1886*y**3\/7 + 9306*y**2\/7 - 9936*y\/7 - 114264\/7 = 0 for y.\nAnswer: -23, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-56 + 68).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:37 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -845*x**3 + 2*x**2 + 48*x + 148. Is q(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -10872 (b) 3 (c) -0.29 (d) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 2. Suppose -2*h = 5 - 3. Let o be u(h). Find the second derivative of c**4 - 3*c - o + 1 - c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2593319471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5647*b**2 - 2818*b**2 + 8 + 0 - 8 - 2826*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 88. Suppose 2*m + m + 4*k + 7 = 0, 2*k + 23 = 5*m. Suppose 241 = m*r - 29. What is the greatest common factor of r and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*a - 375 = 0, -2*a - 12 = 2*a. Suppose 4*x = 3*g + x - q, 5*g - 144 = 3*x. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = 1. Let k be 1\/(-1) - n\/1. Suppose -3*i - i + 20 = k. Solve 0 = 5*z + 2*x - x + 7, -15 = -i*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 4) + 1 - 4. Let h be (-1134)\/(-4) + n\/10. Suppose 5*q - h = 276. What is the greatest common divisor of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - p - 2)*(1 + 45*p**4 + 147*p**4 - 30*p**4).\nAnswer: -162*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/6 + (-19)\/4. Let z be (-1)\/(-2)*(-2 - -2). Suppose 2 = 4*y - 2*j, 4*y - 5*j = -z*j + 11. Which is the biggest value? (a) y (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*v = 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -3*w**3\/2 + 5*w**2\/2 + 252*w - 2. What is p(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7439.82 + -7364. Let y = -4.7 - -81.7. Let v = l - y. What is v rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002926104 to six decimal places.\nAnswer: 0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 131 = 301 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172545143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 709327935 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 20305*j**3 - 5*j**2 + 36*j - 35. Is u(1) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 7*z + 5. Suppose 0 = 2*a + 4 + 6. Let q be g(a). Suppose x + x + 2 = 0. Sort 1, x, q in decreasing order.\nAnswer: 1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628369437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 27105*w - 27100.\nAnswer: -5*(w + 1)*(w + 5420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/3 - 2*c**3\/3 + 4*c**2 + 9*c. Suppose t(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/7 at least as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 15. Let s(m) = m**3 + 5*m**2 - 2*m - 8. Let b be s(-4). Let y be x(b). Let p be -1 - y - 3\/6*-10. Solve 2*r + p = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129652 is divided by 42664?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:36 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(6 - 373983\/124662*2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1014 = 306*w - 319*w. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/37876500 and 53\/6312750?\nAnswer: 37876500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -262.73?\nAnswer: 261.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13450\/(-80) - 0*(-2)\/(-4). Let j = -168 - z. Which is the closest to 2? (a) 0.19 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/12 - 346*p**3\/3 + 1039*p**2\/6 + 11272. Solve r(s) = 0 for s.\nAnswer: -1039, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 7 = 2*l. Suppose 10 = -0*u + 2*u. Suppose 0 = g + 4*x + 8, 2*x = -5*g - u + l. Calculate the highest common factor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 - 5*c + 4. Let d be m(5). Suppose -d*n = 3*z + 1646, 0 = -2*n + n + z - 408. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-11)\/143)\/(2\/(-52))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1018*d + 519*d + 1320*d - 995*d as t + q*d and give q.\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*g + 98, 5*g + 125 = -2*c - 3*c. Let n = c - -26. What is the third derivative of -3*y**n + 2*y**4 - 14*y**2 - 3*y**4 - 2*y**4 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = u - 9, u - 3*l + 6 = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12112302 (base 4) to base 14\nAnswer: 96b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4580 - 4542. Sort k, 4, 0, 5, -1 in decreasing order.\nAnswer: k, 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, n: 7}. What is prob of sequence ddd?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(112)*2 - sqrt(112))\/sqrt(8) - (2*sqrt(126))\/sqrt(9))\/((sqrt(32) + sqrt(2))*1 + (1*sqrt(50) - sqrt(50))).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -130739, -7\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 325724930 divided by 5?\nAnswer: 65144986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1844, -8, 1.\nAnswer: -8, -1, 1, 1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3\/8 (c) 4\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - p - 2*f + 267 - 214 = 0, 2*p - 2*f = 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htkhphpphptppkkhkp. 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: Suppose -p = 2*z - 19, 2*p - 27 = -z + 5*p. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/21 - (-3)\/(-18))*-14. Let f(t) = 7*t**2 + 2*t - 31. Is f(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/2)*s)**(-2\/115)\/(s*s**(1\/18)*s**(-16)) assuming s is positive.\nAnswer: s**(6169\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276181 or 275907?\nAnswer: 275907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + r + 8, 3*c - 4*r + 2 = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 4*y - 1 + 2 - 13*y. Let z be r(-5). Suppose 6 = 2*x - 12. Calculate the greatest common divisor of z and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5232 - 1723 = -513*i + 3818 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + ((sqrt(539) + 2)**2 + -1 - sqrt(539)) - sqrt(539) - (sqrt(539) + (sqrt(539) - 1*sqrt(539) - sqrt(539)) + -4).\nAnswer: 21*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let o(f) = 4*f - 6*f + 0*f**2 - 89*f - 58*f + 3*f**2. Determine o(z(c)).\nAnswer: 12*c**4 + 298*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/4 (c) 1.8 (d) -7408 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3647*a - 120*a - 2 + 2.\nAnswer: -3767*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -4.4\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 20. Let v be -2 + 199 - (-2 - (a - -3)). Suppose -b - 953 = -5*j, 2*j - v = j + 3*b. Does 38 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (200*5)\/(17\/159800). Round z to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*(-17)\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*r - 236 + 861 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**3\/7 - 86*c**2\/7 + 144*c\/7 + 72\/7.\nAnswer: 2*(c - 6)*(c - 3)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/5 + 10452*s**2 + 3228588*s\/5 + 49983532\/5.\nAnswer: 4*(s + 31)**2*(s + 13003)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 5. List the prime factors of 58 + (m - 5) + 5.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 2*y. Let c be h(-3). Is c less than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100395 (base 14) to base 3\nAnswer: 1000100202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 447.\nAnswer: 50958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -545660614.3 to the nearest 1000000.\nAnswer: -546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16170)\/(-546) - 224\/364.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Let r be (3 + -2 + v)\/(-1). Which is the nearest to 1? (a) 0.5 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18925.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (3 + 7 + -19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 162 + 167. Let w = 47 + p. Suppose -5*c - 4*g + 1451 = -536, w = 5*g - 15. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 0, 3*i = 3*d + 197 + 226. Let a be (-1)\/(-3) - (5 + i\/(-15)). Suppose 25 = a*o - 0*o. Solve n + 0 + o = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = i + 238, 0 = 3*c - 2*i - 620 - 99. What is the highest common factor of 108 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370187911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/25 + -3\/25. Let f = 4.35 + -0.35. What is the nearest to 0 in -2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) -4\/15 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*i = -3*d + 60, 0 = 4*d - 2*i - 78. Suppose -126 = 17*w + 1030. Let t = 81 + w. Are d and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*s = 10, -j - 5 = -s - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -2652?\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93489360.\nAnswer: 2, 3, 5, 389539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -94 - n + 134 - 63. Let r be u(-22). What is the fourth biggest value in r, -7, -0.4, -0.03?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 - -126482?\nAnswer: 126480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**4\/4 - 7*x**3\/3 + x**2 - 9*x - 2. Let i be k(7). Suppose 5*r - 3*t = 25 - 4, -i*r - t = -13. Solve -r*w = -5*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5 + 3. Let b = 25 + n. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(85) - (sqrt(85)*-2 - sqrt(85))*-2))\/(3*(sqrt(5) + (sqrt(5) - sqrt(15)\/sqrt(3)*3))))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101010000111010111000?\nAnswer: -101010000111010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 - 2*f**5 + (-3 + 3 + f**5)*(2 - 3 - 2))*(-3 + 3 - 2)*(0 + 0 - 1)*(386 + 746 - 330).\nAnswer: -8020*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -226?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/((b*((b\/b**5)\/b*b)\/b*b)\/b)))**(4\/21)*b**(2\/41)*b\/(b\/b**3))**(-26\/9) assuming b is positive.\nAnswer: b**(-2054\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaaaagaaggagagggaga. Give prob of sequence ag.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 166c3 (base 13) to base 2\nAnswer: 1010011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693032990 to the nearest integer?\nAnswer: 41146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3337745*0.06.\nAnswer: 200264.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54150 and 13034?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 7 (c) -1\/4 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/((-17)\/((-170)\/(-30))). Solve 19*x = 10*x - a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 3102?\nAnswer: 114774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -246 (b) -248.7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.0648 decades to months.\nAnswer: 56287.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 253*c + 2202 = -55*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4114957 to the nearest integer?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 62 - 56 = 0. Which is the closest to 0.3? (a) j (b) 0.02 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 51*d**2 - 10*d**2 + d**2.\nAnswer: 8*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27395280, 6, -5.\nAnswer: -5, 6, 27395280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2794701 or -2794702?\nAnswer: -2794702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-214*o - 491*o + 227*o)*(11 - 11 + 2*o**3 + 3*o - 10*o**3) + 2*o**4 + 0*o**4 + 2*o**4 as c*o + t + p*o**2 + z*o**4 + i*o**3 and give z.\nAnswer: 3828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/16))\/(r\/(r*r**7)) assuming r is positive.\nAnswer: r**(127\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 12 = -2*n. Suppose 0 = 11*f - 3*f. Let w be (-212)\/(-16) - (-2)\/(-8). Solve f = 5*p + n - w, -3*t - 4*p + 17 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 3. Let s be u(-5). Let m(c) = c**s + 2 - 2. Let a(d) be the third derivative of d**4\/6 + d**2. Calculate m(a(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(m\/(m*(m**(-5)\/m)\/m)))**(1\/63)\/((m**(-1\/10)*m)\/((m\/(m**(-5)\/m))\/m))**23 assuming m is positive.\nAnswer: m**(73859\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -69, 4, -5, 45 in decreasing order.\nAnswer: 45, 5, 4, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14816423 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**3. Let k be z(1). Suppose -5*d + k = -4*a, -a + 2*d - 1 = 7. What is the least common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 0.2, 2, 0.143, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:30 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f**2 - f + 1. Let l = -31 - -62. Suppose -29 = 2*o - l. Give g(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285 (base 11) to base 3\nAnswer: -110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 222*s - 85 - 176 - 294 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d**2 - 3*d. Let q be n(-4). Let b be 3*(-5)\/(q\/(-8)). Let z(i) = i + 2. Let h be z(-1). Do b and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -15*m**3 + 2127*m**2\/2 - 25575*m\/2 + 11739 = 0.\nAnswer: 1, 14, 559\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 12, 53, 132, 261, 452, 717, 1068?\n\"Answer: 2*z**3 + z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -106, -244, -446, -718, -1066, -1496?\n\"Answer: -l**3 - 23*l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -937 + 1027 - (5 + -1 + 9 + -4).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 572937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 411. Let y = -102.999998655 + a. What is y rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -4 (b) 2\/11 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-four fifths of a millisecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10 + 5*p - 3*p + 5*p. Let q be s(10). Suppose q + 40 = 2*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 474 and 9322?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 428, 437, 448, 461, 476?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35756839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)\/((l*l*l**(-1\/3)\/l*l)\/l*l)*l**(-3\/5)\/l*l**(2\/7)*l*(((l*l**0)\/l)**(-2\/203))**(1\/2) assuming l is positive.\nAnswer: l**(-628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1048*i - 1817. List the prime factors of n(-18).\nAnswer: 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -69. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9208 - -9704. Calculate the highest common divisor of 961 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067 is divided by 264.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*v - 3289 + 3315, -9 = 3*m - 3*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5029 = 12*i - 481. Let l = -327 - i. What is the remainder when l is divided by (-4)\/18 - 492\/(-27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 199297, 200248, 201199?\n\"Answer: 951*l + 198346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10888, -11624, -12360, -13096, -13832?\nAnswer: -14568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 23 + -21)\/(4\/(-28)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, -5, -532243.\nAnswer: -532243, -5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035899505 to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 - h - 1. Suppose -198*v - 6 = -204*v. Let b(d) = -1. Determine v*b(r) - 2*i(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766688104?\nAnswer: 2, 7, 13, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 7*h**2 + 19 - 21.\nAnswer: 5*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/60466 and -69\/4945255.\nAnswer: 69233570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -21*d**3\/5 - 558*d**2\/5 - 837*d\/5 - 60 = 0?\nAnswer: -25, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + (-16)\/(-32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188016359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3473587974.\nAnswer: 2, 3, 641, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 2 c when four letters picked without replacement from yyyckocykoyyfyyoyky?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 13*l - 2. Let y(i) = -i**2 - i. Let u(j) = v(j) + 5*y(j). Let h = -54 + 59. Suppose 0 = -h*a - 0*a + 25. Give u(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 397990, 397993, 397996?\nAnswer: 397999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8) + -1 + -4 - (1*sqrt(288) + -2))**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 644\/35 - 4\/10. Let n = b - 8. Calculate the common denominator of ((-26)\/n)\/((-14)\/(-45)) and -15\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-4)*y)\/y)\/(y**(1\/3)*y))\/(y*y**0)**(-2\/23))**(7\/4))**(-32) assuming y is positive.\nAnswer: y**(20272\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -15*q**3 - 30*q**2 - 8*q + 17. List the prime factors of l(-6).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/35)\/((7\/15)\/(1127\/2898))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6\/21 + 2*a**5\/7 - 40*a**3\/21 + 16*a**2\/7 + 188. Let v(g) = 0. What is g?\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/7 - 9228*o**4 - 540785754*o**3\/7 - 44306747064*o**2 - 46105693180488*o\/7 = 0. Calculate o.\nAnswer: -15846, -303, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 21142.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 15) to base 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**8\/4032 + v**7\/1080 - v**6\/270 - v**5\/90 - v**4\/6 - 6*v**2. Let n(y) be the second derivative of d(y). Factor n(x).\nAnswer: (x - 1)*(x + 2)*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2240, 10047, 23056, 41267?\n\"Answer: 2601*t**2 + 4*t - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473287 is divided by 22537.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 721 + 101*d**2 - 99*d**2 - 711 + 7*d. Give f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -10*w + 7*w. Suppose 5*y - 2*m - 664 = -w, m = -5*y + 447. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*15\/80*(-2)\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d + 2 - 2 - 3*d in the form y + h*d and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 18. Let a(g) = -g**3 - 30*g**2 + 65*g + 13. Let u(s) = s**3 + 28*s**2 - 66*s - 13. Let n(j) = 4*a(j) + 5*u(j). Let p be n(-23). Give f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004313 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*p**2\/2 - 21553*p\/2 - 3663.\nAnswer: (p - 407)*(53*p + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 5*y. Let f be o(-6). Solve f + 2 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.61863 decades to years.\nAnswer: 426.1863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*7\/77*110\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310688750.9 + 9.\nAnswer: 310688759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/19 + 43\/95. Factor 0 - n*i**3 + 6\/5*i**2 - 4\/5*i.\nAnswer: -2*i*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s - 3. Let n be b(-5). Let g = n - 5. Suppose g*z + 24 = 6*z. What is the highest common divisor of z and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.2, -1, -30814, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 + 1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from {a: 4, o: 4, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -28*x + 114. Suppose 0 = -56*k + x*k - 51. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/15*342\/(-1197). Let m = -0.1 + -0.1. Which is the closest to -3? (a) t (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.79 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0 - -2)\/(1\/7). Let t(q) = 5*q**2 + 14*q + 7. What are the prime factors of t(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((14\/8)\/7). Suppose 2*q - 3*f - 11 = 3, -m*q + 5*f = -30. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h + 427*h + 1314*h.\nAnswer: 1856*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -375 + 381. Suppose 1 = -s*z + 37. What is the remainder when 40 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318*a - 7130 = -323*a. Let k = -795 + a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -2 - (-2 - 3). Suppose -3*f = -x + 6. Let p = -347\/6 - -58. Which is greater: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20749.\nAnswer: 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3)\/((-5)\/(-15)). Let z be (0*(-2)\/r)\/1. Let j = 5 - z. Solve 4*s - j*p = 0, -5*p + 4 = -16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.284, 3, 5, -8.8?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8857?\nAnswer: 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 1846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 44 + 68 = 24 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1084*j - 1049 + 2123 - 1075)*(j + 2*j - 2*j)*(2*j - 1 + 1) to n*j**3 + l*j + y*j**2 + b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/12*4*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00733541828 to six dps.\nAnswer: -0.007335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*f. Let c = 4 - 2. Put 1\/3, f, c in decreasing order.\nAnswer: f, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((((f\/f**(1\/3))\/f*f)\/f)\/f)\/f*f)*f)\/(f\/f**14))**(-35) assuming f is positive.\nAnswer: f**(-1715\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7948 - 7627. Is 328 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 + 8*j - 6. Suppose 4*c + 22 = t, 0 = 4*t - t - 3*c - 39. Suppose t*q + 10 = 12*q. Let x be v(q). Solve x = -o + 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 863089.24 + -863094.2506333. Let i = 4.470636 + t. Let v = -0.54 - i. Round v to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 5*l**2 - l + 5. Let w be q(5). Solve w*b - b = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 706, 421, -10, -605, -1382, -2359?\nAnswer: -3554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/24 and -103\/1410.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:06 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -72*i**2 + 559 + 640*i**2 + 128*i**2 + 159*i**2 wrt i?\nAnswer: 1710*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*s - 5*s - 4*s - 240 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01718 - -0.21718. Put 5, 4, r, -3.1 in decreasing order.\nAnswer: 5, 4, r, -3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f**3 + 11*f**2 - 21*f - 6. Let d be a(3). Let c = -997 - d. Let t be (1\/29)\/(1\/(-3)). Is t less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**7\/70 + 5*x**4\/24 + 4*x**2. Find the second derivative of o(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2242, 2241, 2230, 2203, 2154, 2077, 1966, 1815?\n\"Answer: -l**3 + l**2 + 3*l + 2239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55189434.1 + 24.\nAnswer: -55189410.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2769105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1735 in 3, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 207, 208, 209, 210, 211, 212?\n\"Answer: r + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - o + o = 6*o - 2*o - 18, -4*o - 10 = -26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133859790?\nAnswer: 2, 3, 5, 59, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 156 = t. Let o = -64 - t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -25. Suppose -2*v - 2 = -l. Let u = v - -5. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(440\/(-6))*(-4)\/30*5?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9361*c - 46802. What is h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -188*w**2. Let l(h) = -19*h**2. Calculate l(y(x)).\nAnswer: -671536*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 21*m - 8. Calculate f(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffhfhfffh. Give prob of picking 1 h and 1 f.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**3 + 35*q + 2. Let c(d) = -145*d**3 + 420*d + 25. Calculate 2*c(o) - 25*y(o).\nAnswer: 10*o**3 - 35*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50104085 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 160.829 and -0.4.\nAnswer: -64.3316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 7783?\nAnswer: 7782.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 9*j**3 + 66*j**2 - 72*j.\nAnswer: -3*j*(j - 6)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117011037 + 2?\nAnswer: -117011035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 5\/4*w**4 + 0*w**3 - 3\/2*w**2 - 6 + 0*w. Find the second derivative of s(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-480)\/(-36))\/(-8)*(-18)\/(16\/(-8))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (60 + -79 + (-1 - -11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20106 and 940086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-6)*16\/28. Sort 4, 3, n, -3.\nAnswer: -3, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 9 - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 52*b + 288. Let z be y(-8). Solve -4*k = -z*j + j, -4*j = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -12) + 3 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.413 and -0.5.\nAnswer: -0.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -19, 11, -18 in descending order.\nAnswer: 11, 4, -3, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4333\/(-539) + (-32)\/(-176) + 8. Factor -9\/7 + m*v**2 + 8\/7*v.\nAnswer: (v - 1)*(v + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.52 + -9.38. Let q = l + 13.96. Let o = q + -0.06. Which is the fourth biggest value? (a) 0.2 (b) -2\/19 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7555 - 95a9?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-120)\/(-9) + 2\/(-6). Which is smaller: l or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794332 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:41 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 5*n**2 - 3*n + 11. Give w(-7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 30*w + 1. Let z(x) = 60*x + 2. What is 9*o(i) - 4*z(i)?\nAnswer: 30*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-1)\/3*-5. Let a = 14 - c. Suppose 2*j + 4*r - 2*r - 18 = 0, -j - a*r = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(0 - -3 - 2)*1. Let v be 63 + -66 + 20\/l. Solve v*z + 3*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfabfsi. What is prob of sequence tt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/50*(-10)\/(-4)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2250 - 148 = 227*w + 780 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.07 (b) -2\/15 (c) -22.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 1897?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 - -12.78. Let m = -14 + o. Suppose 1 = -3*z - 2. What is the nearest to m in -1\/4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-315)\/(-175)*(-45)\/54)\/(20\/4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 10:30 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from doovldo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = -2*y, -5*k + 3*k = -y + 15. Let d be 849\/y + (-2)\/(-5). Suppose 0 = -2*l - l + d. Calculate the greatest common factor of l and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 42. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 + 6 - 19*d + d**2.\nAnswer: d**2 - 19*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = 2*y - 4*c, y = c + 1. Let q = 54 + y. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 + k + 7. Let i be 8\/(-6)*9\/2. Let x be o(i). What is the units digit of x*-5*(-4)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 329*i - 433*i + 936 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 271. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27075470 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/24 + (-2)\/(-24). Let f(l) = -2*l**3 - l**2 - 2. Determine f(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*d**6*r**2 - 11420*d**3*r**3 + 150478*d**2*r**3 - 1 wrt d?\nAnswer: -2040*d**3*r**2 - 68520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 11*l**3 + 5*l**3 - l**3 + 2 - 2*l**3 - 18*l as k + v*l + h*l**3 + y*l**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 14*n**2\/5 - 4495802*n\/5 - 1284516\/5 = 0?\nAnswer: -2\/7, 321129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 10 + -2)*(-1)\/(-2). Suppose 0 = -3*d + 2*d - 4*x + b, 53 = 5*d + x. Calculate the remainder when d is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2905, -5713, -8443, -11095?\n\"Answer: 39*d**2 - 2925*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -308607660?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*t + 9 + 7, 4*w = -2*t + 14. Suppose -15 = s - w*s. Let r be 14\/(-21) - (-112)\/6. Solve -u + s*v = -2*u, -3*v + r = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-175))\/((-7212)\/(-120) - 61) - (-332)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:13 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1890)\/(-34650))\/((1\/10)\/((-3)\/(-6)))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16080 and 720?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from mzhzuhhzxmpp.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -13\/51*g**3 - 30*g + 11\/102*g**4 + 2\/17*g**2 + 0. Factor f(i).\nAnswer: 2*(i - 1)*(11*i - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-93)\/60)\/(8\/30) and (42\/(-28))\/(1050\/1113 + (2 - 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -21*d - 96. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -316.999722 - -317. What is g rounded to five decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145103539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 18*d**2 + 16*d + 19. Let a = -20 - -20. Let g be a + 3 + -4 - -18. Let s be r(g). Solve -4*l = -2*l + s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210895.6 litres in millilitres?\nAnswer: 210895600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/45*((-51)\/6 + 1). Suppose 3 + g = n - 3*h, -3*n + 15 = h. Solve 2*a + n + 4 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/20 - 7*r**4\/12 + 9*r**3\/2 + 96*r**2 + 2*r. List the prime factors of h(10).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 10:39 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1157 + -111.2157. Let a = o - 54.5. Round a to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -407 (b) 1127 (c) -1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 792 = -117*u + 100 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551362?\nAnswer: 2, 7, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19*u + 164938 - 165033 = 0, -3*u + 15 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 35 - 9) + (5 - -3) + -16?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 264.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.3 in 5, -10, 0.1, 2\/79, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 579 = -g + 2743, -3*g = 3*w - 1986. Suppose -m - 4*m + w = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/30 + 7*a**4\/8 - 5*a**3\/6 + 19*a**2. Does 20 divide c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4024 + -23334?\nAnswer: -14310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w, 3*w - 5*w + 2533 = 3*j. List the prime factors of j - -3 - 7 - 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 4:09 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23319938 + 10*y**2 - 11*y**2 + 23319938.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 28, 75, 162, 301?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -276912.1 rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w\/w**9)\/w*w**(-4\/5)\/w)**29)**8 assuming w is positive.\nAnswer: w**(-10208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let j(h) = 4*h - 2. Let x(k) = -j(k) + 3*q(k). Let a(o) = o - 3. Let c(u) = -2*a(u) - 3*x(u). Let v(i) = -i. What is c(v(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/1754130 and -43\/2104956.\nAnswer: 10524780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, 22, 196, 450?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 63*a - 51*a + 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 - i - 1. Let z be (-7 + 8)*(-2)\/((-2)\/3). Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -40, -167, -438, -907, -1628, -2655, -4042?\n\"Answer: -9*n**3 + 9*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520*l - 1027*l = 84051 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600.51*0.4.\nAnswer: -240.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 5, -23, -489, -4, 4 in decreasing order.\nAnswer: 21, 5, 4, -4, -23, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 54*x - 79. Suppose 3*p = 3*o - 18, -5*o - 2*p - 2*p + 21 = 0. Solve 0 = 3*a - 7*a - o*w + 15, w = -a + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 591 + -491.8. Let u = p - 99.1997985. What is u rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6674, 6672, 6670, 6668?\nAnswer: 6666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 4310332?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 1159318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8*j - 95. Let t = j - -21. Sort 1, -1, t in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-1)\/(18\/45 - 483\/1195)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l**4 - l**2 - 5*l. Let q(n) = 48*n**4 + 2*n**2 + 12*n. Let h(r) = -12*i(r) - 5*q(r). Find the third derivative of h(g) wrt g.\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*3\/(-225)*5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -0.07?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -761434997 < -761434998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -28*r - 2*r**2 + 18*r + 10*r. Let q(u) be the third derivative of 0*u**3 - u**2 + 0 - 1\/4*u**4 + 0*u. Determine q(t(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11310629*f**3 + 8559762?\nAnswer: 33931887*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 1. Let j be x(-1). Let c be (4\/(-5))\/((4\/(-7))\/(520\/364)). Factor 12*v**4 + 15*v**j + 15*v**3 + 4*v**c - 10*v**3 + 3*v - 7*v.\nAnswer: 4*v*(v + 1)**2*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*f + 159112 - 159112.\nAnswer: -35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -aaa79218 + -4?\nAnswer: -aaa79221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 6*j + 3\/4*j**4 - 3\/4*j**2 + 21\/80*j**5 + 3\/8*j**3 + 0. Suppose t(o) = 0. Calculate o.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + (sqrt(125) - 4*sqrt(125)) - sqrt(125)) + ((-4 + sqrt(125))*5 - sqrt(125)) + -5 + 5)**2*-3.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 5:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 12 + 42. Let t be 28*16\/56 + 4\/4. Solve t*y = -r + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2993559 or -56877600\/19?\nAnswer: -56877600\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7)\/((q\/q**(1\/6)*q)\/q))\/(q**(-2\/7))**(-4\/5))\/(q*q**(-1\/8)*q\/(q\/(q\/q**(-6)*q))*q*q)**(-7) assuming q is positive.\nAnswer: q**(62813\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uuuubuuuufeffdeufuu.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let p = s - -3. Let k = 66\/5 + -13. Which is the smallest value? (a) p (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, -4 in decreasing order.\nAnswer: 19, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 73*b + 141. Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(429\/(-110))*13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/20 - (-1)\/2. Let i = -2 - -1.5. Let d = 2.5 - i. What is the third biggest value in d, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/132)\/((-280)\/(-20))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - -1) + 8\/(-4). Let m(k) be the third derivative of -k**6\/120 + k**5\/10 - k**4\/8 - 7*k**3\/6 + 2*k**2. What is m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*f = 39. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 1, p: 14}. What is prob of sequence php?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k + 105290 = -60*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.061 (b) -3 (c) -8 (d) 1363 (e) -0.5 (f) 4 (g) -2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 3*t. Let x be (-5 - -1) + -6 + 10. Let q(r) = -t*r + r + x*r. Let n(k) = 6*k**2. Give q(n(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 421849343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533 + -533. Suppose 4*x + 3*w - 194998 = h, -56*x + 5*w = -58*x + 97492. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 1, g: 1, q: 2, c: 2, a: 1}. What is prob of picking 1 n, 1 g, and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78540 and 792.\nAnswer: 471240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16675084?\nAnswer: 2, 19, 219409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2 - 2 + 12 - y. Let d be g(7). Solve 11 - d = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/86804 and 61\/5.\nAnswer: 434020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - 0.16044. Round p to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 157*p + 1. What is s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7279 - -7314. Which is the smallest value? (a) y (b) 0.17 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0234 - -0.1581. What is j rounded to three dps?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 631.52 + -615. Let m = d - 16.3. Which is the nearest to -2\/3? (a) -2\/7 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99488967*i**2 + 106930*i + 4.\nAnswer: -198977934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.77, 277, -5, 1.7, 3 in decreasing order.\nAnswer: 277, 14.77, 3, 1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/5)\/(76\/(-342) + 1281\/5805). What is the greatest common factor of 27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-22)*n*n*n)**41 assuming n is positive.\nAnswer: n**(-738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, 202, 855, 2106, 4153, 7194, 11427, 17050?\n\"Answer: 33*b**3 + 2*b**2 + 16*b - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 6*g**2 + 2. Let p be j(-6). Let l = -82 + 82. Solve p*h - 3*y - 23 = 0, l = -0*y - 2*y - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1431*b**7\/14 - b**5\/10 + 1727*b**4\/12 + 11466*b. What is the third derivative of d(z) wrt z?\nAnswer: -257580*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 318?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.84 - 3.16. What is the nearest to c in -0.4, 1\/11, 7\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 47. Sort l, -5, 3.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g + 1, 0 = 5*x - 2*g + 18. Let v = x - -7. Suppose 0 = -0*n - n - 2*h + 30, -94 = -v*n - 5*h. Round n to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2307 divide 225675354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1\/20*g**5 + 7*g + 0 + 5\/24*g**4 + 0*g**2 + 1\/360*g**6 - 6*g**3. Let z(t) be the second derivative of k(t). Factor z(o).\nAnswer: (o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y**3 + 442*y**2 - 347*y - 153. What is f(-13)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - w**5 - 11130704 + 11130703 + 3*w**3. Let s = 2 - 1. Let q(x) = -15*x**5 - 45*x**4 - 20*x**3 - 20. Let r(b) = s*q(b) - 20*u(b). Factor r(v).\nAnswer: 5*v**4*(v - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/9 + 75788*n**2\/3 - 151580*n\/3 + 227372\/9.\nAnswer: 4*(n - 1)**2*(n + 56843)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026.679 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 8288697?\nAnswer: 265238304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*j, -2*x = -3*j - j + 8. Suppose 4*h + x = 6. Are -2\/5 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33*38\/570*-10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 966*y**2 - 2005*y**2 + 923*y**2 - y.\nAnswer: -116*y**2 - y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11507 + 4?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21495*s + 472885. Determine o(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 471 + 483 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 5*z**4 - z**4 + ((-4 + 4 + 2*z)*(1 - 3 + 3) - 2 + z + 2 + 2*z + 2*z - 3*z)*(z + 10*z**3 - 3*z - 2*z**3).\nAnswer: 34*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 81. Find the common denominator of (-12)\/(-14)*72\/x and -13\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 371*v**2 + 195*v + 1598. Calculate r(-186).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-735 - 959 + 919)*(-4*g + 5*g + 0*g).\nAnswer: -775*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1044 + -13?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479\/68 + -22\/17. Find the common denominator of 41\/8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3715 divided by -743.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2278*a + 20 = 2258*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/94 and 1\/141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1643*b**2 + 637*b**2 - 3136*b**2 to the form q*b**2 + h + m*b and give q.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = j - 2*i - 35, -169 = -5*i - 8*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79392842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -22\/183, 65 in decreasing order.\nAnswer: 65, -22\/183, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/7)*k*k**(3\/8)*(k**(1\/4))**13)**(-18\/7) assuming k is positive.\nAnswer: k**(-2403\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7086 divided by -1181\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 0)*(-2)\/(-6). What is the units digit of (3\/(-12))\/(q\/328)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, -2, 4, 2 in decreasing order.\nAnswer: 126, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 25*z**2 + 312*z**2 - 50*z**2.\nAnswer: 287*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200237481*c**2 - 298016525 wrt c.\nAnswer: 400474962*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 49. Let n be a(11). Let k = n - -220. Is 58 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -32*y**2 - 6. Let a(d) = -16598*d**2. Determine z(a(f)).\nAnswer: -8815795328*f**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250\/3 + -84. Which is the closest to j? (a) -2 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -19\/2*k**2 + 25\/3*k**3 - 1 + 13*k. Differentiate q(t) with respect to t.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 + 82*o**2 + 36624*o - 1378080 = 0. Calculate o.\nAnswer: -174, 36, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -9. Let z be (4\/2)\/((-2)\/h). Let d = 3 - 5. Put z, 2, d in decreasing order.\nAnswer: 2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o - 99211 = -5*a, -4*a = o - 79367. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(325)*-1).\nAnswer: -20*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/((b\/b**5)\/b*b)))*b*b\/((b*b**(3\/8)*b*b)\/b)*(b\/(b*b**(-5\/6)))\/((b*(b\/((b*b**(-6))\/b))\/b)\/b) assuming b is positive.\nAnswer: b**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*t - 0*v + 27, 30 = 5*t - 5*v. Suppose -16*m + 4*w = -12*m - 16, -t*w - 14 = -4*m. Solve 18 = d - 5*p, -3*d + 3*p = p - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 3, m: 1, p: 2, u: 3, b: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-35)*-21)\/(2\/(-15))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1570*y + 1575*y - 3136*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 111*g - 21912. Determine n(101).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 9*m - 5*l = -168, -5*m = -14*l + 10*l + 60 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.1, -839, 1\/36, -0.4 in increasing order.\nAnswer: -839, -0.4, 1\/36, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + 17*r**2 + 89*r - 444. Give y(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670 = 403*p - 87*p + 11252 + 8798 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*z - 24, -3*q - 11 = z - q. Let p be -3 - (66\/(-15) - z). Sort -0.1, -0.7, p.\nAnswer: -0.7, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 1d88?\nAnswer: -1d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22725831241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24836.\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(45)) - sqrt(20)\/sqrt(16)*-1.\nAnswer: -11*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102185 is divided by 833?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -47 + (10 - (2 + 1) - (-667 + 675)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-22)\/33 + -3 + (-4244)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 bigger than 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 103569828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 526152 and 11176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10606 + -10605.999974394. Round d to 7 decimal places.\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-5)*u)*u**(-3)*u)**(4\/13))**(-40))**38 assuming u is positive.\nAnswer: u**(-12160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2580170, -2580185, -2580222, -2580293, -2580410, -2580585, -2580830?\nAnswer: -2581157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*p + 41*p + 136 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:55 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by -722101.\nAnswer: 107\/722101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -248*i + 250*i. Suppose p + 2*r - 5 = 0, 0*p - 3*p + i*r + 48 = 0. Solve -p*l = -5*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8901, -36166, -81761, -145650, -227797, -328166, -446721?\n\"Answer: 6*j**3 - 9201*j**2 + 296*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -271971, -1, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -1, -271971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(162) + 3) + (-2 + sqrt(162))*-2)*-1 + -2)**2.\nAnswer: 1134*sqrt(2) + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*t + 16 = 0, -2*i = -4*t + 9 + 11. Let b = 0 + 2. Suppose -4*m + 0*m = -3*n + 19, -5 = -n. Sort 4, i, m, b in increasing order.\nAnswer: i, m, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g**2 + 7*g - 2. Calculate n(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 3*i)*(-4 + 4 - 3) - 2*i - 2*i + 6*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, s: 4, c: 8, k: 6}. What is prob of sequence ks?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-37)\/(-74) - (-1)\/2)*181. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/44310 and 121\/210.\nAnswer: 44310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 188*p + 88 = -241*p, f + p + 6 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 6.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 28*b**2 - 26*b**2 + 43309*b - 43268*b.\nAnswer: -43*b**2 + 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by -58406.\nAnswer: 177\/58406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08645 + 0.91355. Suppose 0 = -2*q + 7*q + 15. Let y = -0.8 - -1. What is the fourth smallest value in v, -0.09, y, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15075*x**2 + 18*x + 2729252 wrt x?\nAnswer: -30150*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 3 = 2*v. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose g*t = 3*t - 9. Suppose 30*n - 33 = -3. Solve -f + n + t = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6201\/14 - (-2 + (-85)\/(-35)). Let d = x - 399. Find the common denominator of ((-1)\/3)\/(35\/(-90)) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 12*u**2 - 20*u - 4. Let d be j(-10). Let w(g) = 180*g**3 - 81. Let x(v) = -9*v**3 + 4. Calculate d*w(b) - 81*x(b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*v**4 - 4*v**2 + 148 wrt v?\nAnswer: -1128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6074223251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -96, -299, -676, -1281?\n\"Answer: -9*q**3 - 6*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -75*t**2 + 703*t + 75. Calculate b(10).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28485*r**2 - 28465*r**2 + 2 - 3*r - 6*r)*(r**2 - 2*r**2 + 0*r**2).\nAnswer: -20*r**4 + 9*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5756 - -5766. Which is the nearest to -11? (a) -3 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110))\/sqrt(10) - (sqrt(1100) + -1 - sqrt(1100))**2.\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 10*o + 46*o**3 - 5*o - 6*o.\nAnswer: 41*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*y + 55 = 0, -s - 3*y = -y - 7. What is the remainder when 44 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:34 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28417.21*0.5\nAnswer: 14208.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0946682352814 + 4?\nAnswer: 3.9053317647186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus 1.75?\nAnswer: 20.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:03 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 3*r**2 + 38*r - 260. Calculate the smallest common multiple of 38 and g(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3144 + 3137 - 12576 + 2*i + 3161 - 2*i - 2*i**2 + 3147.\nAnswer: -2*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 199?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/77 and 1\/133.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 2*m**2 + 2*m + 3. Let v(g) = g**3 - 15*g**2 - 3*g + 47. Let l be v(15). Suppose -9*k + 7 = -6*k + 2*f, 0 = -2*k - l*f + 4. Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 72233 = -4*v + 72230, -2*l + 3 = 5*v - 15*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 23 - p + 5*p + 0*p + 171 in the form w*p + n and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -21 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(sqrt(1300) + (sqrt(1300) + sqrt(1300) + 0)*4 - -2*sqrt(1300)*-4) + -5 + 1)**2.\nAnswer: 240*sqrt(13) + 5236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52661946 + -0.19135.\nAnswer: 52661945.80865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 480436 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -2305.1111867335.\nAnswer: -2305.2111867335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4 = 5*f + 14, -3*d + 9 = -2*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 - 1. Calculate the common denominator of 436\/(-2)*(-2)\/80 and ((-4)\/l)\/((-40)\/101).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3331 + 41034?\nAnswer: 44420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10203373 divided by 8\nAnswer: -10203373\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 39397423\nAnswer: 393974230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 305 + 0*l - 299)*(5*l + 9*l - 5*l)*(0*l + 3*l - l).\nAnswer: -18*l**3 + 108*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 4*t + 221. Let m(s) = -s**3 + 9*s**2 + 10*s + 443. Determine -5*l(h) + 2*m(h).\nAnswer: -2*h**3 - 2*h**2 - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-1*(-3)\/(-10)). Suppose -3*p - j = -6*p. What is the lowest common multiple of p and ((-135)\/(-20))\/((-3)\/(-8))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 129. Put 0.1, 4, o in ascending order.\nAnswer: o, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 18 = 2*v, 4*v - 6 + 30 = 4*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06616306861 to six decimal places.\nAnswer: -0.066163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Suppose o + g*o = -80. What is the tens digit of 118\/10 - 4\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -531.0439 - -531. Let u = s + -0.0561. Let l = -0.5 - -4.5. Which is the closest to 6? (a) l (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3 - 1. Let a(u) be the second derivative of -u**3\/2 - 4*u. Determine t(a(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 4*l + 25 - 49, 3*m = 2*l - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let v(r) = 0 + 0 - 3. Suppose -28822 = 72*m - 28894. Calculate m*v(s) - 5*f(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 3*r**3 - r**4 + (1 + 3 - 3)*(-31*r**4 - 29*r**4 + 17*r**4) + (-3*r - 4*r**2 + 3*r)*(2*r + 3*r - 4*r)*(-3*r + 2*r + 3*r).\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-14))\/((-3017)\/865879).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4442, -4467, -4514, -4595, -4722, -4907, -5162, -5499?\nAnswer: -5930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -18*y - 51. What are the prime factors of t(-5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1804 and 267948\/33 - 432\/264.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -28. Suppose 2184 = r*n - 3*o, -n - 1466 = -3*n - 3*o. Suppose -5*v + n - 235 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h - 0 - 0. Solve -2*d - 3*v + 11 = h, 0 = 5*d + 4*v - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -266799, -266719, -266639, -266559?\n\"Answer: 80*x - 266879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*l - 3 - 10, 3*l = 5*o. Suppose o*q + 3 = -0*q. Let m be ((-234)\/36)\/(q\/2). Is 14 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1 + 6 + 3 + -5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 104*z + 106.\nAnswer: -2*(z - 53)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/36*11 - 2\/1 and 113\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 + 11*z + 4. Give a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -441241230*a - 208251145?\nAnswer: -441241230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 1243*l**2 + 25228099*l\/7 + 24374814399\/7.\nAnswer: (l + 2799)*(l + 2951)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37876 and 2112.2961654.\nAnswer: 39988.2961654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983, 547, -5, -673, -1457, -2357?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1373*m**4 + 2*m**3 + 5*m**2 + m + 470. Let h(f) = -f**4 + f**2 - 2. Let c(t) = -d(t) + 4*h(t). Find the third derivative of c(y) wrt y.\nAnswer: -33048*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 6. Suppose 5*h - 3*h = -8. Let d be s(h). Let p(x) = -x**2 + d*x**2 - 3*x**2. Let g(l) = 3*l**2. What is g(p(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -265 - -257. Let a be y - -7 - 4 - -8. Calculate the greatest common factor of 5 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30375*u**5 + 4*u**4 + 3*u**3 - 5977*u**2 + 5?\nAnswer: 1822500*u**2 + 96*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9920928 is divided by 1653485?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18302125 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -591714, -591722, -591730, -591738, -591746?\n\"Answer: -8*u - 591706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2. Let g(x) = -5979632*x. Determine u(g(c)).\nAnswer: -143023995421696*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 12462044?\nAnswer: -12462040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k**3*s + 18263*k**3 - 97*k*s - s wrt s.\nAnswer: 5*k**3 - 97*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000812847 rounded to 7 dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)*71 + 3. Let t = 107 - a. Suppose 2*d**5 + 27*d**4 - 4*d**5 - 4*d + 20*d**2 - 2*d**5 - 7*d**4 - t*d**3 = 0. What is d?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -902 or 0?\nAnswer: -902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-36))\/(294\/16)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d + 22. Let l = d + 17. What are the prime factors of 90 + (l\/(-2))\/1?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970180 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 302570647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 383*m + 2322. What is h(70)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 = 3*b + 9, -2*b = 4*g - 12. Suppose -4*y + 4*p + 6 = -y, 0 = y + 3*p - 2. Solve 6 = 5*u + g*s + y, u - 4*s + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 469.8392 micrograms?\nAnswer: 0.0004698392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -12*d + 3*d - 65 - 57 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:51 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -77*28\/((-616)\/(-6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3, 3, 0, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5282 and 22518.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.3 - -90. Let z = t + -48.7. Which is the biggest value? (a) 3\/4 (b) z (c) 9 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65709 - 124932363.\nAnswer: -124998072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 16120.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 500*g - 1002. Determine j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/720 - q**6\/720 - q**5\/6 - q**2. Let t(c) be the third derivative of g(c). What is t(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 277.\nAnswer: 3\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 3*z**2 + 3*z + 3. Let u be m(3). Let x(w) = 3*w + 21. Let o be x(u). What is the units digit of ((-18)\/(-4))\/((-4)\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -54*c - 59*c + 2 + 117*c. Let h be n(-1). Let x(a) = -a**3 + a - 2. Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2083, 1, 3, 128 in decreasing order.\nAnswer: 128, 5, 3, 1, -2083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*q - 7*q - 6381, 0 = -3*s + 3. Let r = -5077\/4 - q. Find the common denominator of -25\/652 and r.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615 and 984?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**2 + 2*i - 8. Let s(p) = 10*p**2 - 3*p + 9. Let m(d) = -3*g(d) - 2*s(d). Find the first derivative of m(z) wrt z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-2491)\/(-3948)*21)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**3 - j**2 + j + 1. Let d be a(-2). Let q = -32 - d. Let c = 27 - q. Calculate the greatest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 217507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 204*m + 291. Is 9 a factor of x(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 3*c + 1 + 0*c + 0*c - c + (1 - 3 + 1)*(c - 2*c + 3*c) + 21*c + 2*c + 4*c in the form i + t*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1772*y**3 + 5336*y**3 - 8*y**2 - 523*y + 1218*y - 565*y wrt y?\nAnswer: 21384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 891038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120011020211 (base 3) to base 7.\nAnswer: 2351545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 7) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 12*j**2 - 9*j + 8. Determine h(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y - 9 = 0. Let u(k) = 10*k**3 - 2*k + 0 + 2*k**2 + 1 - 2*k**y. What are the prime factors of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = 9. Suppose k = -0*u + u. Suppose 3*r - 113 = -5*l + 5*r, -2*r = u. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 5*w + 0*w - 1168*w**2 - 2*w to b + t*w + o*w**2 and give o.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6300, -7737, -9174?\nAnswer: -10611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59\/2 + 1\/2 + 0. Let m = 40 - n. What is the lowest common multiple of 4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 32 = -3*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-3)\/6)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-24)\/(792\/(-165))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 13) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0101 + -0.0101. Let q = -0.26 - 0.14. Which is the nearest to p? (a) q (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*1)\/((-1)\/2). Suppose 3*v = -2*c + 5, -c - k*v = -0*v. Let r be 3*1*c\/12. Is r >= -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/46360364 and -32\/6923.\nAnswer: 324522548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*m + 2*m - 9 = 0, -x - 6 = 3*m. Let a(n) be the second derivative of -3*n + 1\/6*n**4 + 0*n**2 + 0 - 1\/3*n**x. Factor a(d).\nAnswer: 2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70720*y = 70665*y + 9790. Let q = -31 - -45. Calculate the lowest common multiple of y and q.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-210)\/(-50) - 96\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1378.\nAnswer: 5512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 e, and 1 r when four letters picked without replacement from {r: 7, c: 1, e: 2, h: 2}?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6056848832 - 6056848283.00000137. Let l = 549 - g. Round l to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*u + 352*u + 4706 = 789*u - 309*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 - -262. Let s be 12\/(-10)*(-10)\/(-3). What is the third biggest value in v, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 686?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12797 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:51 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = 136*l - 514 - 81 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 0.009616, -4 in increasing order.\nAnswer: -4, -1\/13, 0.009616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/450 and -127\/6?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1324*n**5 + 3*n**4 + 599*n**2 - 28625126*n.\nAnswer: 26480*n**3 + 36*n**2 + 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190728 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l - 5. Let o(x) = 21*x - 8. Let w be o(4). Let g be w\/19 + 12\/(-2). Let k be i(g). Solve k*t = 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 26b?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2)*c**(-1\/4))\/(c\/(c*c**(-3))*c**5))**(-7))**47 assuming c is positive.\nAnswer: c**(10199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001001100010 (base 2) to base 9.\nAnswer: -44145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 8*n**2 - 15*n**2)*(-4*n + 0*n + n)*(2 + 4 - 5 - 1 + 0 + 2 + (-1 - 1 + 1)*(1 - 1 - 1)).\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 321213?\nAnswer: 321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 83\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3876)\/(-22) + 6\/(-33). Suppose -2*g + s = 42. Suppose f - 5*t - 38 = 0, 3*f + 4*t = g + 66. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + n**2)*(2 + 2*n - 2) + 0*n + n**3 + 0*n - 9*n**3 - 2*n**3 + n**3 - 2*n**3 + 0*n**3 + 4*n**3 + 4*n**3 + 3*n**3 - 4*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16.75 or -17288?\nAnswer: -16.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/284338071 or 1?\nAnswer: -1\/284338071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17714816 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.1 (c) 370\/9 (d) 1\/8 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -23*t + 13. Let b(v) = -14*v + 7. Let g(r) = -5*b(r) + 3*j(r). Give g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605)*-2 + sqrt(605))\/sqrt(11))\/(sqrt(5) + -3*2*sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 399*p**2 + 5*p - 8. Let f be -2 - (7 - 43)\/9. Does 94 divide l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619, -1316, -2085, -2926, -3839, -4824, -5881?\nAnswer: -7010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1*2)*(-903)\/301\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -36*p + 15. Let q(m) = -110*m + 52. Give -2*q(j) + 7*w(j).\nAnswer: -32*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/30 + 5\/(-35)*21\/(-15). What is g in 3\/4*g**u + g**2 - 17\/4*g - 3\/2 = 0?\nAnswer: -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 13. Suppose 0 = 5*t - 3*c - 0*c - 16, -5*c - 10 = 0. Let q be 0\/(3\/(3\/t)). Let r be (4 - (-6 - q)) + -1*1. Calculate g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1055*f*x**2 + 13*f*x + f + 2*x**3 + 3*x wrt x.\nAnswer: 2110*f + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. Let z be 15\/10*x\/(-2). Factor -v**2 + 4*v**2 - 2*v - v**3 + 0*v**z + 0*v**3.\nAnswer: -v*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ihhi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -394981 + -24?\nAnswer: -3949a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69225019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-4)\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 5. Suppose 8 = -d*a + 50. Suppose 64*j = 221 + 291. Calculate the remainder when a is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/947, 1\/9, -1, 6?\nAnswer: 2\/947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2247\/5 less than or equal to -448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 54144.25ng?\nAnswer: 0.00005414425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5814 divide 607798931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, 5, 1.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 + -19. Let d be 2\/(-9) - 7256\/72. Is d > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/3 + (-40)\/(-1). Suppose -4*b = -2*p + 4*p - 12, 4*p = 5*b - k. Is 93\/b - (-12)\/(-20) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 759\/231. Suppose 9*y - 144 = d*y. What is the least common multiple of 6 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**3)**(-8\/13))**(7\/2) assuming b is positive.\nAnswer: b**(56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1281 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1760)\/66*1110\/(-370).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -11 - 6) + 41 + -53\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 869680 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32592 = 2*b + 12*b. Let u = -97 - b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*-1*(-21)\/(-15). Suppose 2*m - 29 = k. Calculate the remainder when 214\/4 - 1\/2 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 17. Suppose 266 = -4*n + 298. Which is the biggest value? (a) n (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:03 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*o - 118*o + 536 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602797?\nAnswer: 13, 89, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 457 = v, -339 = -4*u + 4*v - 1243. Let s = -159 - u. What is the remainder when s is divided by (-2 + 1)\/(1\/(-15))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:01 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 4306612, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(175)*-2 + 5 + (sqrt(7) - (sqrt(7) + sqrt(175) + -2)) + 1)**2.\nAnswer: -240*sqrt(7) + 1639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x + 82*x - 261*x - 86*x.\nAnswer: -346*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 12*m**2 - m - 6. Let p(j) = j**3 - 20*j**2 - 23*j - 4. Let y be p(21). Let i = 34 + y. Is 6 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 - 7*f. Determine l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/(-3))\/(-44)*1*-3. Put a, -4, 56 in descending order.\nAnswer: 56, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195091049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nininnnnnnniin. What is prob of sequence iin?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321 + 1021232?\nAnswer: 1012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -347964*n. Let g(s) = 5*s. Calculate g(l(q)).\nAnswer: -1739820*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 60, 2\/15, 15, -3, -35 in ascending order.\nAnswer: -35, -3, -0.4, 2\/15, 15, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -c, 3*z = -z + 3*c + 1922. What is the remainder when z is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = j. Let w = -61\/15 + 11\/3. What is the biggest value in j, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31263957149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*w + 32*w - 14 - 47*w**2 + 40*w - 110*w wrt w?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.383 - -0.627. Let l = 0.8 - -4.2. Let r = u - l. What is r rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 3*y**2 + 5*y**2)*(-4*y**2 + 4*y**2 - y**2) + y - y + 3*y**4.\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - a. Let d be z(0). Which is smaller: -1\/3 or d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4686*m**2 - 9*m - 12. Let h = 43 + -47. Let p be a(h). Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 8*x = 64, 861*b - 854*b = x - 51 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 13. Calculate the common denominator of 21\/8 and -3 + (-11)\/(-20) - l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*6*(sqrt(720)*1 - (-5 + sqrt(20))).\nAnswer: 153 + 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:59 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12936 and 3612.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let t(g) = 6*g**2 - 7*g + 13. Determine o(t(n)).\nAnswer: -6*n**2 + 7*n - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 146 = -2*t - 3*z, 130 = 2*t + 2*z. What is the remainder when 1003 is divided by t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -31. Let t be (-4)\/b - (-56)\/12. Suppose n - t*m + 15 = 0, 3*n + 7*m = 3*m + 50. Solve -4*r - 5*v - n = 0, 3*v = -2*v - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 29. Suppose -3*x + 4*x - s = 0. Calculate the highest common factor of x and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 - (0 + 6 - (-36 - -38)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -200354454 - -0.37?\nAnswer: -200354453.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let y(l) = -l**3 + 2*l. Let v be y(-2). Let c = 1 - v. Let m(d) = -2*d + 2. Calculate c*t(h) - m(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8632 (b) -4 (c) -2\/15 (d) -5 (e) 0 (f) 16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j + 30 - 30 + 8*j as u*j + g and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {p: 5, i: 2, g: 1, h: 1, x: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtt when three letters picked without replacement from {e: 2, l: 1, t: 2, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 7*g**5\/60 + g**4\/24 - 15*g**2. Find the second derivative of a(p) wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 - 2*r + 1. Suppose 4*g = -2*p + 20, 4*p + 3*g + 2 = 22. Give l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42175127 + 23433841. Let r = t - -18741303.999738. Let w = -18 + r. Round w to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*(r\/r**(2\/15))\/r*r**(18\/5))\/(((r*r*r*r\/((r\/(r**40*r))\/r)*r)\/r)\/(r*r**(-3))))**(-42) assuming r is positive.\nAnswer: r**(8512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4692 and 4876?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/16 - 15*l**3\/8 - 19*l. Factor n(r).\nAnswer: -3*r*(r + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 f when four letters picked without replacement from {m: 6, v: 3, f: 1, q: 5}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.8. Let w = 766\/161 + -33\/7. Let y = -51\/115 + w. Which is the biggest value? (a) -1 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 243*c + 7505. What is w(-34)?\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**3 - 819085*y - 3163373?\nAnswer: -3*y**2 - 819085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/63 - (-11)\/7. Suppose p = -2*l + 2 + 2, 5*l - s = 2*p. Suppose n + q = 1081, -p*q - 2*q = -4. Round n to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171437*h + 462 = 171415*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Suppose 0 = 2*f - 2*x - 2, 4*f + 5*x = -9 - 5. Let b be (-21)\/(-9) + f\/3. Let s(h) = 2*h**b + h**2 - 5*h**2. Give s(o(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82756066 + -82868107.069. Let n = q - -111973. Let u = -68 - n. Round u to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210 + 76 + 66 - 2*a + 68 + 189*a**2 to the form z + g*a + d*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7550, -2.06, -2?\nAnswer: 7550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + -2) - (-17 - -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0*o**3 - o**3)*(13 - 3 - 2)*(-1 + 0 + 3).\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2539*y + 206393. Give c(-81).\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x**4 + 0*x + 3*x**4 - 5*x**4 + x**4 + (4*x**4 - x + x)*(-1 - 3 + 1))*((-1 - 3 + 3)*(-2 + 2 + 2) + 5 - 3 - 4).\nAnswer: 56*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdbd when four letters picked without replacement from ddqxdqdb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 182*s + 176*s = 37, -102 = -4*h + s. Solve h*t + 99 + 26 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (1 - -1))\/(0\/3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7452 divided by -27\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-4*b**2 + 3*b**2 + 0*b**2).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/3 - 100360*j**2\/3 + 2007928*j\/3 - 1204800 = 0.\nAnswer: -50200, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -25*c - 3. Let i(l) = 110*l**2. Calculate m(i(d)).\nAnswer: -2750*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -1217\/9. What is the nearest to 0 in -0.4, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by -165231.\nAnswer: -574\/165231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1441 + 0.2541. Do u and -4\/33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 - 40 = 0. Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 29*b - 926. Give f(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/26)\/((-4949)\/(-1911) + (-48)\/18).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - (2 + -4*sqrt(847))) + -2)**2 + 5 + (sqrt(847) + sqrt(847) + 2)*6 + 0.\nAnswer: -308*sqrt(7) + 21208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -8)\/((-1)\/(-2)). Let m(g) = -g**3 + 3*g + 3. Let z be m(u). Solve -7*l + 5*w - z = -2*l, -11 = 4*l + 3*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 2 - 2)*((3 - 1 + 0)*(-2*x**2 + 1 - 1) - 50*x + 50*x + 50*x**2) in the form z*x**3 + f + o*x + m*x**2 and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92*c**2 + 56637*c*o**2 - 14351775*o**2 wrt c?\nAnswer: -184*c + 56637*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9443 divided by 6.\nAnswer: 9443\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3695 and 2.\nAnswer: -7390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362 - 777 - x**2 + 183 - 768.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255 - -256. Let v = 218 + -218.3. What is the fourth smallest value in v, 4, t, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78380 = 10*j - 63090. Suppose j = 28*d - 10801. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p - 6*p + 5*p)*(-7 + 2 + 3) + 0 + 0 + p)*(7*p + 0*p - 3*p)*(-4 + 1 - 9)*(-2 + 0 + 4)*(-1 + 2 + 4).\nAnswer: 480*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {r: 6, m: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1954*p + 930111. What is b(-476)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*n = -110*n + 35175 + 1984. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 72*z**2 + 4*z + 4. Suppose -5*m + c = 11 - 0, -8 = 5*m + 2*c. Let s be a(m). Let o = s - 184. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*m - 5, 4*m - 1 = 2*y - y. Let p = y - -15. Let o = -12 - -20. Calculate the least common multiple of o and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) 55.98 (c) -238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009605.7 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - u**2 + 23. Let f(y) = 7*y**3 - 26*y**2 - y + 47. Give -2*f(i) + 4*s(i).\nAnswer: -6*i**3 + 48*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by -2*(-3 - -4)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*n + 2*n**2 + 0*n**2 - 16 - 270*n + 139*n.\nAnswer: 2*n**2 - 335*n - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.058? (a) -3 (b) 0.4 (c) -3\/8 (d) -0.2 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 195 = -4*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 45.5. What is the nearest to 0.1 in 0, 3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 6*w**2 + 6*w - 1. Let o be (-156)\/30 - 1\/(-5). Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k + 35*k**2 - 1 + 1 + 5*k wrt k?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/5 - 21180812*g**2\/5 + 2*g\/5 + 21180812\/5 = 0.\nAnswer: -10590406, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 36 = 2*j + j, 5*o + 5*j = 90. Calculate the highest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -96, -312, -728, -1410, -2424, -3836, -5712?\n\"Answer: -11*c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.215926ml to litres.\nAnswer: 0.003215926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2195698 and -0.1.\nAnswer: 219569.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*321773.\nAnswer: 1287092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:58 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 14*w = 4650. Let n = -308 + w. Calculate the smallest common multiple of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 4\/9, 1\/2, 31\/4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*z + 11, -5*z = -j - 13 + 5. Let k(o) = 1087*o**3 - o + 1. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.2. Let q = s + 4.2. Suppose m + 5 = -g, 6 = g + 4*m + 17. Which is the second smallest value? (a) g (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18295 divided by 16\nAnswer: 18295\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000805445612 to seven dps.\nAnswer: -0.0000805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 17*q**2\/2 + 7*q - 1. Let a(y) = 24*y - 233. What is the remainder when g(5) is divided by a(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 3 (c) -1 (d) 0.3 (e) 167239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 11 - 17. Let l(i) = i**3 + i**2 - 8*i. Let z be l(q). What is the nearest to z in 3, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 4\/(-1) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*k - 18, -2*w = k - 3*k + 14. Let x = 2.6 + -3. Let m = -11 - -11. Sort k, m, x.\nAnswer: x, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2244, -4453, -6650, -8847, -11056, -13289, -15558?\nAnswer: -17875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 38*s**3 + 14*s**2 + 11*s - 29. Let r be a(-16). Does 67 divide r\/(-119) + (-8)\/14 - 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (30\/(-4) - -7)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85168.\nAnswer: 2, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {c: 1, x: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5987, -7041, -8095, -9149, -10203, -11257?\nAnswer: -12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j)**(5\/3)\/(j\/(j**(-3\/4)\/j))**(-2) assuming j is positive.\nAnswer: j**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - ((-20)\/6 + 32\/24). Let x(f) = -4*f**2 - 4*f. Determine x(w).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 14924, 41 in ascending order.\nAnswer: -17, 41, 14924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*h - 3*p, -4*h - 5*p + 5 = -1. Sort 17, -2, h in decreasing order.\nAnswer: 17, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 + sqrt(272))*-4)**2.\nAnswer: 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-684)\/(-798))\/(2*3\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 5*l - l. What is the greatest common factor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 303*t + 1342. Determine s(-10).\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*o + 12 = 0. Solve 0 = 12*q - 8*q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1. Let s(p) = 1. Let w(b) = -b + 8. Let n(k) = 14*s(k) - 2*w(k). What is -5*n(x) - 12*t(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40914*g**3 - 74*g**2 - 77*g**2 + 151*g**2.\nAnswer: 40914*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 32. Let a be (-1)\/(((-2)\/v)\/(6\/15)). Solve -u + 7 = -0*b + a*b, 5*u + 15 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let h = 1 + d. Suppose 2*j + o + 3*o - 26 = h, 3*j = -3*o + 45. Solve 0 = 2*r - 2*w - 0*w - 8, 3*w + j = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.06, -7, 11, 6, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(7) + (4 + sqrt(42)\/sqrt(6) - sqrt(7)).\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4568700138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36) - (-1064)\/171?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4197?\nAnswer: 25182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 10 + 742*a**2 + 0*a**3 + 14 - 2*a**4 - a**3 to i + n*a**4 + q*a**2 + u*a + h*a**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-66)\/42 + 3 - (-8)\/14. Let f(z) be the first derivative of z - 10. Let j(s) = 117*s + 2 + s**2 - 117*s. Calculate u*f(n) - j(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 110 = 5*m, -m + 5*j = 1 + 1. Let g be ((-2)\/(-3))\/(3\/m). Let q be (1*21)\/((-9)\/g). Solve -4*a - 2*h = 16, q = -5*a - 2*h - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 + 84. Suppose z - 6 = 2*j, -z + 2 = y*j - 6*j. Suppose -5*o - 3*n - n + 32 = 0, 2*n = -4. Calculate the lowest common multiple of o and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 5 (c) 0.2 (d) -0.5 (e) 1\/6 (f) -86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k. Let l(c) = -c**2 - 67*c - 1065. Let o be l(-28). Let j(f) be the third derivative of 1\/24*f**4 + 0 - o*f**2 + 0*f + 0*f**3. Calculate j(w(q)).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bb2bba (base 12) in base 8?\nAnswer: 42071476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*sqrt(684))**2 + 4 + 3 + sqrt(19) + -2.\nAnswer: -47*sqrt(19) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuzuhkhwkkwzwwwwz. What is prob of picking 1 u and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5324 and 508.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 3*u + u + (u - u + u)*(1 - 4 + 1) + (-4 + 1 + 2)*(0*u - 3*u + u) + 0*u - u + 3*u + 0*u - u - u to x*u + l and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z - 3. Let y be m(-4). Let n be (y*(-1)\/3)\/1. Which is the nearest to 2\/9? (a) -0.3 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let g(b) = -6*b**2 + 5*b + 5. Suppose 0*i - 5 = -4*m - i, 3*i = m + 2. Determine m*g(c) + 5*s(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 12*d - 2. Calculate y(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*x - 3)*(-472 - 36*x + 472) + 0*x**2 - 2*x**2 - x**2 to the form o + j*x + y*x**2 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/1589 and 36\/227.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:13 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/8 (b) 0.058 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7722.808ml?\nAnswer: 7.722808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -5bd1?\nAnswer: -5bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/185609, 2\/9, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1441 divided by 268\nAnswer: -1441\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11532074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535290276 to the power of 1\/2, to the nearest integer?\nAnswer: 39183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119168, 238333, 357498, 476663, 595828, 714993?\nAnswer: 834158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 71 - (1 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 0.3. Suppose i = -2*i. Let s be i - (1\/(-2) + 0). Which is the nearest to s? (a) r (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f. Suppose -6 = -p + 2. Let g be ((-2)\/p)\/((-1)\/(-4)). Give k(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2522908 by 37.\nAnswer: -2522908\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 428 - 435. Let f(v) = -v**3 - 7*v**2 - v - 5. Determine f(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-22)\/8 + (2 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (86 - 5) - (525 + -538).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 142*g**3 - 228*g + 224*g - 6*g**2.\nAnswer: -142*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -1. Suppose -78*o - v = -76*o. Let c(z) = -z**3 - 2*z**2 + 3*z. Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3975 and 5?\nAnswer: -1.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 5, -1, -5 in descending order.\nAnswer: 5, 1\/8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k\/(k\/(k**7\/k)))\/(((k**(1\/4)*k)\/k)\/k**(2\/9)) assuming k is positive.\nAnswer: k**(1147\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1154 + -570. Let w = 928 - h. Let f = w - 186. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 9. Let v(o) = 18*o**3 + 3 - h*o**2 - 2*o + o**2 - 2*o**2 - 17*o**3. Give v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324 - -313) + 2 + 49 + (2 - 5)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/(-30) - 15\/2. Let l = -6 - c. Sort l, -4, -1.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497884786*y**4 - y**2 + 3648*y + 784 wrt y.\nAnswer: 11949234864*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let a = 37198 + -37194. Put r, a, 0, -6 in increasing order.\nAnswer: -6, r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1. Let m(w) = 4*w**3 - w**2 - 10*w - 5. Determine -3*i(d) - m(d).\nAnswer: -4*d**3 + d**2 + 10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*c**3*w**2 + 4*c**3*w + 17*c**3 wrt w.\nAnswer: -272*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.236262 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1490 and 1755369.\nAnswer: 17553690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/3)))\/(q*(q**(-6\/7)\/q*q)\/q)*q**(-6)*q**(-2\/3)\/q*(q**(-1))**(-6\/5)*(q*q**4\/q)\/(q**(1\/7)*q) assuming q is positive.\nAnswer: q**(-359\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 58. Let u be (4\/f)\/(3\/9) - 2. Suppose -4*w = u*o - 246, -299 + 56 = -4*w + o. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 272*n + 4405. What is the tens digit of y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/5 - 42262*g**2\/5 + 633719*g\/5 - 591458\/5 = 0.\nAnswer: 1, 14, 42247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1066 times 3?\nAnswer: 0.3198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0\/6)\/(-3))\/(3 - 5). Suppose j = -12*s + 743 + 2437. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14614 is divided by 348.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*g - 9. Suppose 0 = -g*r - r + 148. Suppose 0 = 5*j + x - 3*x - r, 24 = 4*j - 3*x. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 13*u**2 - 6*u**2 + u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-9)\/48). Suppose 0 = 3*p - k*p + 20. Solve 5*f**3 + 3*f**5 + 2*f**p - 5*f**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370*i**3 + 25*i**2 + 28040*i wrt i.\nAnswer: 2220*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324.8202 or -0.143?\nAnswer: 324.8202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 k, and 1 y when four letters picked without replacement from kyyyyyssyyky?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*c**3)*(3 + 1 - 5) + 50*c**3 - 53*c**3 - 86*c**3.\nAnswer: -91*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35674 (base 11) to base 6.\nAnswer: -1033521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {o: 1, a: 3, f: 4, i: 3, d: 2, k: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:44 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/7, 0.4, 1, 0.62, 3, -24639?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149040 and 2736.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34640990 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*k*o**3 - 2*k*o**2 - 596191*k - 886*o**3 wrt o?\nAnswer: 306*k - 5316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20576*v**2 - 5*v - 6. Let x(r) = 11*r + 53. Let f be x(-5). Let k be i(f). Round k to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 629176 and 110639?\nAnswer: 52221608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75960825 and -17889.\nAnswer: 75942936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46\/11 - -125\/22. Sort 3, -1, o, -2\/7.\nAnswer: -1, -2\/7, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 1145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6286937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 17, k: 1}. Give prob of picking 1 k and 3 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 889.7823 decades?\nAnswer: 106773.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 764 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/1184935 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 38, 36, 34?\n\"Answer: -2*i + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/40 and (-1)\/300*(52\/65 + (-314)\/40).\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.237888 at least as big as 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 + 7617*u\/2 - 14016891\/4.\nAnswer: -3*(u - 3871)*(u - 1207)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5960 and 19370?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.573 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 146 - 146 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**3 + 0*a**2 - 2*a - 5 - 1\/2*a**4. Let n(l) = -4 + 0*l**3 - 1 - 4*l**3 + l. Calculate 5*b(y) - 2*n(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 114 + 7*j + 33 + 34 + 6*j - 2*j - 6*j + (j + 4 - 4)*(1 + 1 - 4) to the form n + h*j and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.074 + -4.526. Let y = 4.198 + d. What is y rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 5, i: 3, y: 2}. Give prob of sequence im.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide -184512 by -46128.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9023, -18487, -28375, -38687, -49423, -60583, -72167?\n\"Answer: -212*r**2 - 8828*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -10. Let f = 286 + -274. Sort f, a, 2, -4 in descending order.\nAnswer: f, 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10417387 is divided by 231496.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 13*q**2 + 30*q + 10. What is w(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000798364 rounded to 6 dps?\nAnswer: 0.000798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559183 is divided by 3358?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 29*i**2 - 39*i + 11. Give y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2682759 + -11?\nAnswer: 2682748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 72 = 4*k, 4*w + 5*k = 40 + 39. Calculate the greatest common divisor of 416 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2683*u + 679. Is f(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 20 - 83 - -11.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*s + (-19 + 19 - 8*s)*(-1 + 3 - 1) as k + g*s and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 38861*a - 12534. Is i(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:31 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6583*w + 2*q = -6582*w + 5, -15 = 3*w - q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/55?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = k + 6601*g - 6602*g, -4*k - 2*g - 22 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.509 - -0.50901598. Round k to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1852900 to the nearest ten thousand.\nAnswer: 1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3260083103 + 140.\nAnswer: -3260082963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 12366.\nAnswer: 49464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1845 by 5.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15*y - 13. Let g be v(1). Solve 2 + g = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/26)\/(97 + (-10532448)\/108576)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7320\/228 + 4\/(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*(-1575)\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5 + 25. Suppose 5*d = -r*v + 16, -2 = -v + 2. Calculate the common denominator of (0 - d) + (-196)\/16 and 5\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268634 (base 12) in base 11?\nAnswer: -2054948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23896 divided by 4?\nAnswer: -5974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/m*m*m**4)\/((m\/(m*m**(-1)))\/(m*m**(-7)))*(m*m*m**(-2\/23))\/(m\/m**(-5))*m**(-2\/3)\/(m**(2\/13)\/m) assuming m is positive.\nAnswer: m**(-7990\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11\/11)\/(4\/20292)?\nAnswer: 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 8*u + 6. Let g = -103 + 109. Give z(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**3 + a**2 - 13*a - 17. Calculate the remainder when v(-2) is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1, n: 7}. What is prob of sequence qe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(2\/(-21)). Let u be (-6)\/21 - (-30)\/r. Solve 3*k - k - 3*d = -2, 4 = -4*k - u*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1428 and 1092.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -899 or 3\/12082?\nAnswer: 3\/12082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-3)\/525). Let z be p\/(-25) + ((-12)\/10)\/3. Let c(a) = -a - 2. Let h be c(z). What is the highest common factor of 44 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*l + 1)*(50 + 29 - 3)*(0 + 2 - 4).\nAnswer: -456*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-44))\/((-2)\/16) and 565\/60 + (-4)\/16?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3 + 3)*(-63*y + 63*y + 8*y**3) - 50 - 2*y**3 - 2*y - 2*y**4 + 809*y**2 - 809*y**2.\nAnswer: -26*y**4 - 2*y**3 - 2*y - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -3 + 2 + 142 + -138\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**2 - 7*j**5 + 19*j**2 - j**6 + 24*j**2 - 15*j**5 wrt j?\nAnswer: -120*j**3 - 1320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 48*l**2 + 9. Let f(z) = -z**2 + 1. Let o(u) = 9*f(u) - x(u). Let j(w) be the first derivative of -w**3\/3 + 11. What is o(j(m))?\nAnswer: -57*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/1213437 + 21841876\/6067185. Find r, given that 144\/5*r + y*r**3 + 3\/5*r**4 - 21*r**2 - 12 = 0.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4087*f**4 + 13*f**2 + 404*f + 3 wrt f?\nAnswer: -98088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(59675\/(-20)))\/((-42)\/147)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) -2 (c) -5\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2597*i**3 + 3125*i**3 - 713*i**3.\nAnswer: 5009*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljljgjvvjgsvj. Give prob of sequence svj.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n**2 - n + 5. Let u(m) = -3*m**2 - 1. Let r(b) = -2*k(b) - 11*u(b). Determine i, given that r(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**6))\/x**(1\/3))\/((x**(-13)*x)\/((x\/(x*(x*x\/(x*x**14\/x*x*x))\/x*x))\/x)) assuming x is positive.\nAnswer: x**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -35) + -8 + 0 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -42 (c) 1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 + ((-9)\/(-3))\/1. Suppose -5*d + 136 = -z. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. Let u be 6 + 1*(n + 0). Suppose -5*d - 420 = -4*j - 436, 0 = 4*d + 3*j + 12. Solve -3*i + 11 = -5*t, d = 2*t + u*i - i - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from apradahddaa?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2774, -22162, -74782, -177248, -346174, -598174, -949862?\nAnswer: -1417852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/29088 and 85\/116352?\nAnswer: 116352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 32006585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 2, -17, -50, -103, -182, -293?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 2*d)*(-402*d - 858*d + 1 - 772*d).\nAnswer: -2032*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 0.7 (c) -410 (d) -154\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -989 or -0.5?\nAnswer: -989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2014)*(-575924)\/24. Let k be ((-5)\/(-6))\/(4028\/8). Let z = k + x. What is the common denominator of 89\/14 and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 0*s**2 + 41*s**2 - 17*s - 17*s.\nAnswer: 41*s**2 - 53*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4655, -18593, -41807, -74285, -116015?\nAnswer: -166985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2168103 > -2168072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 18*p + 1421. Let i(w) = -2*w**2 + 9*w - 2. What is -3*g(j) - 6*i(j)?\nAnswer: 3*j**2 - 4251","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-22)\/(-616)*(-24)\/111?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42082 and 583.\nAnswer: 462902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -31.7. Let i = -1.3 + a. Let o = 2.3 + 0.7. What is the closest to 2 in o, i, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 77.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 3*w + 8. Suppose 0 = 3*y - j + 13, 2*j = -5*y - 9 - 31. Give x(y).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s - 27. Let r(z) = z**2 + 13*z + 32. Let l be r(-9). Let f be g(l). Let q = f - -12. Solve -6*t + q*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - (-112)\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6128 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*w - 113*w + 17*w**2 - 40*w + 33*w + 8*w**2.\nAnswer: 25*w**2 - 442*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h. Let t = 12585.9 - 12585.7. Which is the nearest to h? (a) t (b) 2\/5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000385905546 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -68. Let q = -25 - -333. What is the highest common factor of i and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 141*p. Let s(a) be the third derivative of -a**4\/24 - a**2 - 316*a - 1. Determine k(s(z)).\nAnswer: -141*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 135. Let h = t - -36. Sort 0.06, h, 5.\nAnswer: 0.06, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -816 greater than -816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*t - 262 + 262.\nAnswer: -320*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuuuyuy. Give prob of sequence yu.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, e: 9}. Give prob of picking 2 e and 1 k.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34770\/76)\/(-61)*(-5)\/(550\/16).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*g**2 - 1393*g - 24*g**2 - 32*g**2 - 31*g**2 - 453*g in the form v*g**2 + q*g + y and give q.\nAnswer: -1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -219?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5148*f - 62*f**3 - 2574*f - 2575*f + 4*f**2 - 15*f**3 as j*f + s + w*f**2 + x*f**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 975062.\nAnswer: 975061.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -26*k. Let f(u) = -27*u + 1. Let s = 22357 + -22354. What is s*f(z) - 4*y(z)?\nAnswer: 23*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2032, -2011, -1982, -1945, -1900?\n\"Answer: 4*a**2 + 9*a - 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0*q - 9*q + 9*q - 378*q**2.\nAnswer: -378*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -107.\nAnswer: -5\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/117780 and 113\/39044070.\nAnswer: 78088140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(8 - 40))\/((-1)\/(-11)) and -33\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 249 and 75?\nAnswer: 6225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/5 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/7)*f\/(f**(1\/3)\/f))**(2\/91) assuming f is positive.\nAnswer: f**(142\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/49*(6\/(-4))\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from zazzazzz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53eaa + -3?\nAnswer: 53ea7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031688*k**3 + 2*k**2 - 515841*k**3 - 515831*k**3.\nAnswer: 16*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*s = g - 12, 4*s = 0. Suppose -3*y = -y - g*p + 4, 2*p = -3*y + 2. Suppose y*l = -l + 16400. What is l rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1317, -3511, -6591, -10563, -15433, -21207?\nAnswer: -27891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3489*l**2*w**2 - 2*l*w**2 - 321*w**2 wrt l?\nAnswer: 6978*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -3\/4, 2\/31, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14318+6747.5\nAnswer: 21065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*q - 6*q**4 - 19*q + (-4*q**2 + 0*q**2 + 2*q**2)*(-q**2 - 4*q**2 - 2*q**2) + 66*q**4 - 418 + 418.\nAnswer: 74*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1131 and 696?\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9590 + 17?\nAnswer: -9573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from hgghrrrrrrjhyhjrhj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 493, -10, -4.\nAnswer: -10, -4, 2, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 14*g**2 + 7*g - 40. Let s be q(7). Solve 0 = -2*p + s*p - 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 3*d - 18. Let u = 12270 + -12269. Let l(s) = s**2 + s - 1. Determine u*r(o) - 3*l(o).\nAnswer: -2*o**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1341616, -5366460, -12074534, -21465838?\n\"Answer: -1341615*d**2 + d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0464 - 297.0464. Let u = -293 - z. Which is the nearest to -2\/7? (a) u (b) -1\/9 (c) -1\/6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 100 = -0*z - 3*z, 5*z - 4*j = 105. Calculate the highest common divisor of z and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 + 3*w**2 + w - 3. Let d be v(3). Let t be (5\/45 - 132\/d) + 0. Solve -5*p + t*y + 40 = -10*p, 0 = 3*p - y + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 22 = q. Let b be 878\/(-8)*1636\/q. Let z = b - -8160. Calculate the common denominator of 61\/18 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5052 - -0.0052. What is the nearest to 1\/10 in 2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**4\/12 + 5*i**2. Let n be 3\/18*2*-6. Let y(f) = -23 + 13 + 9 + 2*f**2 - 3*f**2. What is n*y(r) + x(r)?\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (248\/(-310)*(-70)\/(-4))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7307 + 7306.885. What is the third smallest value in l, 2\/17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232799 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1030, 1282, 1704, 2302, 3082, 4050, 5212?\n\"Answer: s**3 + 79*s**2 + 8*s + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2. Let v(b) = -21*b - 50. Calculate v(f(x)).\nAnswer: -42*x**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-2 - 18 - (5 + 9 + -18))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 920160731 to the nearest integer?\nAnswer: 30334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) 3 (b) 0.3 (c) 4\/881\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 - 2*u - 2. What is p(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -976, -1021, -1070, -1123, -1180, -1241?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -1, 1, 182?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*-3*sqrt(375))\/((sqrt(432) + (sqrt(432) - 1*sqrt(432)) + sqrt(432))*4) + 0.\nAnswer: -25*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1d?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Suppose 2*v = 2*z - 90 + 12, o*v = -2*z + 62. Suppose -2*a - 7 = -z. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7703016 (base 11) to base 12.\nAnswer: 4647232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 240768.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g**3 + 6*g**2 + 74*g + 12. Let s(x) = 17*x**3 + 7*x**2 + 89*x + 13. Let l(y) = -5*s(y) + 6*w(y). Give l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 9, -2*h - 114*w = -h - 125*w + 31 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**2 + 128. Let x(c) = 4. Let k(m) = -n(m) + 32*x(m). Let y(f) = -4*f + f - 7*f. Calculate k(y(g)).\nAnswer: -1600*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 213221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r. Let h(g) be the first derivative of -4*g + 2\/3*g**3 - 2*g**2 - 5. Let j(w) = w**2 - 3*w - 3. Let l(c) = 3*h(c) - 4*j(c). Determine l(z(v)).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m - 21*m - 8*m + 14*m.\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7735153, -15470303, -23205465, -30940645, -38675849, -46411083, -54146353?\nAnswer: -61881665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -2)\/((-2)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230659717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8, -4, -12, -16, -16, -12, -4?\n\"Answer: 2*m**2 - 18*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 37. What is the third derivative of -f*u**2 + 13*u**3 + 0 + 0 - 4*u**3 wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064457.\nAnswer: 23, 89759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 6984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 56 and 752 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139554549 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyyyygy. Give prob of picking 4 y.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.559998909 + -7.56. Round t to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19918 and 590341.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/4 + 3*z**3 + 7*z**2 + 5*z - 18. Let h be y(-7). Suppose -h*f = f - 240. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -1 + (-1 + 1 - 8) - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 7*d**5\/30 + 26*d**2. Let o(i) = 6*i + 4. Let z(s) = -3*s + 16*s + 25 - 7 - 9. Let u(x) = -9*o(x) + 4*z(x). What is n(u(k))?\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 2\/5, 0.1 in increasing order.\nAnswer: 0.1, 2\/5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Is 12 + h*(-3)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f = 36*f + 60 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451 - 485 = -17*j. Suppose -4*m = 1 - 21. Suppose j*h + 886 = m*t - h, -5*t - 2*h + 876 = 0. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a + 18*a - 67*a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(220)*-5)\/sqrt(5) + sqrt(44)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/20 + o**4\/8 - 10. Find t, given that q(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 1. Let h(p) = 3*p**3 - 9*p**2 - 4*p + 23. Determine h(r) - 5*u(r).\nAnswer: 3*r**3 + r**2 - 4*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 - -2 - (-5 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 822 and 20.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 + 10*k - 13*k + 2*k**2 + 22*k to the form m*k**2 + p + r*k and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/(t\/t**(4\/11)*t)*(t\/t**(-8))\/(t\/((t**(-2\/3)*t)\/t)*t*t) assuming t is positive.\nAnswer: t**(-307\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 2*q - q**4)*(-4 + 7 - 1)*(-33 + 95 + 38) to the form r*q + x*q**3 + w*q**2 + k + m*q**4 and give m.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 59 - 21 + 171)*(5*q - 4*q + 0*q).\nAnswer: 444*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -14*t - 2. Let v be m(-1). Solve -3*f = v - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*n = -202*n + g - 29, -2*n = -g + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.3889.\nAnswer: -6.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/(-3))\/(-4)*(-6660)\/111.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = h, 8*p - 15 = 5*h + 3*p. Suppose t + q = -3*q + h, 6 = 3*t - q. Find the third derivative of -v**4 + v**t - 2*v**4 + 0*v**2 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-22) + (132\/(-22) - -9)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 2*v**2 + v - 1. List the prime factors of m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 12803*x**2 - 335 + 109 - 12805*x**2 + 117.\nAnswer: -2*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*4)\/((sqrt(35)*-2)\/sqrt(7)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41\/8? (a) 0 (b) -1\/3 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -3. Suppose -2*b - 6 = -0*b. Find the common denominator of b\/(-5) - 63\/t and -56\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 436963*f**2*w**3 - 2*f**2*w + 833*w**3 - 2406*w**2 wrt f?\nAnswer: 873926*f*w**3 - 4*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(14\/9))\/(n**(-2\/37)\/n*n)*n**(11\/4)*n\/n**5 assuming n is positive.\nAnswer: n**(-1001\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*h - 8 = 0, -53*h - 9*h - 130 + 79 = 73 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 727*y**2 + 0 - 224*y**2 to k*y**2 + t*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = w + 5*b, -5*w + 22 = 2*b + 21 - 58 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5242052 (base 6) to base 7.\nAnswer: -2106632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3.952. Let q = m - -0.0479871. What is q rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -13, 0, 29 in increasing order.\nAnswer: -13, 0, 8, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36027, -35727, -35425, -35115, -34791, -34447, -34077, -33675?\n\"Answer: g**3 - 5*g**2 + 308*g - 36331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11130 and 133080?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 362 + -137. Let j = 206 - x. Put -4, -5, j, -3 in decreasing order.\nAnswer: -3, -4, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 3*l - 9*l - l.\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 22*b + 80 = 0. Is (-4)\/6 + ((-4016)\/6)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 15*o + 172. Is u(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401710 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: Two letters picked without replacement from tccktcdccdcjktdk. What is prob of picking 1 t and 1 k?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26011*x**5 - 313607*x**2?\nAnswer: 1560660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -3*n**5\/4 - 5*n**4\/3 + 70*n**3\/3 - 40*n**2 - 81*n - 1. What is p in u(p) = 0?\nAnswer: -4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.49 times -0.22\nAnswer: 7.3678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45 = 2*o. Let n = 15 - o. Factor -1\/5*k**3 + 2\/5*k**2 - 1\/5*k + n.\nAnswer: -k*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*z**4\/5 + 394*z**3\/5 - 42*z**2\/5 - 394*z\/5 + 56\/5 = 0. Calculate z.\nAnswer: -1, 1\/7, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 7*p**2 - 1\/60*p**6 - 1\/6*p**3 + 0 + 1\/6*p**4 - 1\/10*p**5. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -174360 to the nearest 1000.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 - 456*d**4 - 8995065*d**3 - 5567491182*d**2 - 5540508300*d + 11116995000 = 0. Calculate d.\nAnswer: -950, -2, 1, 2053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 7171.\nAnswer: -7173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 100594589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5fd64 (base 16) to base 3\nAnswer: -201221110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 8}. Give prob of sequence jajj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13038 - -13046. Solve m*t - 3*o + 2 = 6*t, -8 = 4*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16519 (base 14) in base 13?\nAnswer: -1c589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = n + 4*r, r + 0 = 3*n + 2. Calculate the common denominator of (0 - 97\/16) + n and ((-237)\/60)\/(2\/5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*x + 20, -4*a + 0*x + 20 = 2*x. Let l be a + -1 - 184\/44. Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o. Let w be (-6)\/3 - (-8 + -1). Let a(x) = w*x + x - 3*x. What is l(a(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g + 1. Let d(s) = s. Let x be -2 + (0 - 0 - 2). Let b(m) = x*d(m) - q(m). Find the first derivative of b(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 2*j. Let x(u) be the first derivative of -4 + 5\/3*u**3 - u**2 + 0*u. Give -3*x(z) - 4*y(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 6*y - 1. Suppose 0 = p + 4*p + 3*c + 37, -21 = p + 4*c. Let j be k(p). Solve 9 = j*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -810844*y - 225. Let p(i) = -i. Determine p(c(f)).\nAnswer: 810844*f + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -747, -739, -733, -735, -751, -787, -849?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 795 + 436 + 359.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)*t*t*t\/(t**7*t)*t**2\/(t**(2\/5)*t) assuming t is positive.\nAnswer: t**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 37. Let h(v) = -3*v + 12. Let z be h(0). Suppose r - 2*k - z = 0, -3*k = 4*r - 5*r + m. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-5*sqrt(384)).\nAnswer: -sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16996 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (6 + 20 + -18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a1 (base 14) in base 13?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 (base 9) in base 2?\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7 - 45\/(-105))*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*l = -119*l + 21*q + 47, 3*l - 11*q - 38 = -12*q for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {g: 4, h: 3, m: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 18*v + 34. Let p be x(-16). Let a = 0 + p. Suppose 0 = 4*r + a*r - 18. Calculate the lowest common multiple of 7 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2007, -1\/12, 3 in decreasing order.\nAnswer: 3, -1\/12, -0.2, -2007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 + 3*c + 3. Let z be b(3). Suppose 5*s - z + 5 = -4*o, -5*o - s = -47. What is the remainder when 14 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*j - 3784 + 47 - 944 + 403*j.\nAnswer: -j - 4681","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-92 - -89)) + 1 + -23 + 0.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157.13 + -157. Suppose 3*n = 5*n - 2. Which is the closest to n? (a) s (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -2*w**5\/5 - 5*w**3\/2 - w. What is the second derivative of i(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 - j**4\/4 + j**3\/2 + j. Let u be k(-4). Let f be 1\/(2\/u) + -3. Is f at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.58998243 to two decimal places.\nAnswer: -31.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*p - 7*p**2 + 21*p + 3*p**5 + (-3*p**3 + 6*p**3 + 0*p**3)*(0*p**2 + 0*p**2 - 2*p**2).\nAnswer: -3*p**5 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3472.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 1. Calculate the smallest common multiple of 1 and x(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888443 to the power of 1\/2, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4043025 * -0.3\nAnswer: -1212907.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 593, 1187, 1781?\nAnswer: 2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0601 times -0.5\nAnswer: 0.03005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, j: 13}. Give prob of sequence ttj.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 53 - 12 = 0. Solve -4*b + b = 2*q - x, -q = -5*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 + (890 - 880)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**5\/10 - b**4\/6 + 2*b**3\/3 + 4*b - 1. Let f(i) be the first derivative of y(i). What is u in f(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33300 - 1?\nAnswer: -33301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/20 + h**4\/4 + h**3\/3 - h**2\/2 - 2*h. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(1\/3))\/b*((b*b**(1\/9))\/b)\/b)**(-7\/12))**(-14\/3) assuming b is positive.\nAnswer: b**(98\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/22 (b) -2\/7 (c) -389096 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12*i - 906. Let l be k(-76). Let d be 2\/(4\/2) - -1. Let f be -2 + d*(-3 - -9). Solve -l*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x. Let a(d) be the first derivative of -5*d**5\/8 - d**3\/3 - 7*d**2\/2 - 7. Let j(z) be the third derivative of a(z). Determine v(j(c)).\nAnswer: 75*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.3, -3, 0.3, -148152?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 2. Let h be l(-3). Let u(t) = t**2 + 4*t - 7. Let g be u(-7). Let d = g + -11. Solve h*a = 4*f + 3*a + 6, 0 = -d*f - 5*a - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24 greater than 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3\/5)*r)\/(r*r*r\/r**3))**(-8))**(-12) assuming r is positive.\nAnswer: r**(672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -501 - -505. Let u(a) be the second derivative of -l*a + 1\/11*a**3 + 1\/66*a**4 + 0 + 2\/11*a**2. Factor u(h).\nAnswer: 2*(h + 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6776\/(-770))\/(-5*(-2)\/(-4)). Is 5 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/30 + 6*m**3 + 7*m**2. Let d be k(0). Let n = -36 + d. Solve 2*j + 6 = -n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 2*t**3 + t**2 + (2*t**3 - 3*t**3 + 3*t**3)*(-5 + 5 + 1) + 2 - 2 + t**3 - 5*t - 5*t**3 + 5*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 737*f + 1758*f - 457*f + 2 - 2 + 2*f + (3 - 3 + 2*f)*(0 + 1 + 0) - f + f + f - 3*f + 2*f - f.\nAnswer: 2041*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, -10 in descending order.\nAnswer: 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 10*k**2 + 8*k + 5. Let d be y(10). Let m = 36 + d. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*d**4 - 2*d**3 - d**3 + 4*d**3 + 15*d**2 + 7*d + 107*d**4 - 58*d**4 as k*d**3 + u + b*d**2 + r*d**4 + m*d and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1764051329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5766 (base 9) to base 10.\nAnswer: -4272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5869 + 367 = 4*l. Let q(p) = l*p - 1 - 781*p - 779*p. Calculate q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124530150 (base 6) to base 12\nAnswer: 9b0956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 9*l + 4. Let t be b(9). Let q = -138 + t. What is the remainder when 83 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4\/5 - 393*k**3\/5 + 154539*k**2\/5 + 62049*k + 155316\/5 = 0.\nAnswer: -301, -1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-1 - -1))*-1. Let t = 76 - 129. Let s = t - -48. Sort 4, i, s.\nAnswer: s, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) + (1 - 1). Suppose 0*r + 2*r = t. Let p(s) = 4*s**2 + 3*s. Let z be p(-2). Solve r = w - 4*g + z, -4*g + 6 = w - 0*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 148, 131, 108, 79?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577691739.\nAnswer: 3, 17, 3775763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233 - 5?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 11 + 1)*(2 + u - 2 + u**2) in the form m*u**2 + a + q*u and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 6*a**3 + 8*a**2 - 9*a - 696. Calculate u(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302284 by -130.\nAnswer: -151142\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -56. Let d be 500*(w - 8)*(-725 + 0). What is d rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12361445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283108 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:10 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5086.89 and -0.5?\nAnswer: -2543.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/4)\/(y*y*y**(1\/6)*y*y)*y**(1\/2)\/(y**(5\/2)*y) assuming y is positive.\nAnswer: y**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (5*sqrt(8208) - sqrt(8208)) + sqrt(57))*-5)\/(-5*sqrt(33)\/sqrt(11)*5).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d**2 + 97*d**2 + 146*d**2)*(2 + 0 + 0) to n + j*d + p*d**2 and give p.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5047480 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 179 - 350 = 0. Suppose x*b = 33*b - 140. Solve b*u - 7*u - 7 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477860?\nAnswer: 2, 5, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5475 + -5477. Suppose -2*j + 5*m = -21, -j - 2*j = 3*m. Which is the third smallest value? (a) 7\/2 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -54*a - 412. What is the remainder when 68 is divided by n(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -90.8 (c) 2\/11 (d) -0.22 (e) 0.2 (f) -3 (g) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 3 - (-3 + 4). Let u be g\/(-2)*(-4)\/3. Suppose -3*t + k = -8, 3*t = -u*t + 4*k + 11. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*m**3*s*v**2 + 5*m**3*s + m**3 - 2*m**2*s*v + 175*m*s*v**2 - 17*m*s*v + 3*v wrt v?\nAnswer: -82*m**3*s + 350*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**2 - 23 - 5*p**3 + 22 + 0 as f*p + w + o*p**2 + n*p**3 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 294133593.\nAnswer: 294133592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxggxxggxxxxg. What is prob of sequence gxxx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*p - 317 = 0, -2*p - p + 585 = 5*k. Is k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 107, -2, -5 in descending order.\nAnswer: 107, 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, x: 1, j: 1, e: 1}. Give prob of sequence yea.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 59*x - 147*x + 73*x. Suppose h + 2 = 2*v, 0*v - h + 6 = 2*v. Let a(o) = 6*o**2 + 2*o**2 - 6*o**v - 4*o**2. Calculate r(a(t)).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78261.\nAnswer: 3, 19, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let r(o) = -o - 1. Let i(v) = v**3 - v**2 - 2*v - 1. Let y(k) = j*i(k) + 2*r(k). Suppose 8 = 7*d - 3*d. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 57*l**2 + 57*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 321502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + q - 3)*(-3*q**2 + 2*q - 2*q) - 6*q**3 + q**3 + q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**3 + 2*l**3)*(37*l**2 - 15*l**2 + 6*l**2) + 3*l**5 - 2*l**5 - 6*l**5 + 1 - 3*l**5 - 1.\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231112 - -2202000?\nAnswer: 1310222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {j: 1, x: 2, b: 4, l: 3, m: 8, e: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141654 by 70827.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*t - 24 = 0, -293*i = -292*i + 2*t - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = 17*q - 10*q. Suppose c - 5*g + 21 - 2 = q, -4*c = 2*g - 34. Solve -b - 4*d = 0, 2*d = c*d + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 278.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -395 divided by -79\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*o*p*w**3 - o*p*w - 3*o + 2*p*w**2 + 2*w**2 wrt w.\nAnswer: -1080*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 13*u**2. Suppose -2*n - 9 = 17. Let s be f(n). Suppose -w + 4*w - p - 651 = 0, s = -4*w + 5*p + 868. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -14*s - 66. Let j be 4\/s*(9\/(-8))\/(-3). What is the third smallest value in 4, -1.1, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 23*p - 8. Solve 4*g = -p*s + 24, -4*g = -2*s - 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 - (-11 - -7)) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - s + 2 = 0, -a - 6 = -5*s + 4. Let t(m) be the third derivative of -m**5\/60 + m**4\/24 + m**3\/2 - 29*m**2. What is the units digit of t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a + 83772 = 2204*a for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdd when three letters picked without replacement from {u: 1, d: 2, p: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(4)*4)\/((2*sqrt(24))\/sqrt(8)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(8*j + 114*j - 26*j).\nAnswer: 192*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-162)\/24 + 6)\/(6\/(-16)). Suppose -3*i + n - 1 = -g*i, -2*i - 2*n + 14 = 0. Suppose l = 5*t + 1841, i*l - 4*t = l + 3682. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/(a**1\/a))\/(a**(-1\/14)*a*a\/a**1))\/(((a**1*a)\/((a**6*a*a)\/a))\/(a**(-2\/17)\/(a**(-1\/6)*a))) assuming a is positive.\nAnswer: a**(2542\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 176565*a**2 + 9004526*a\/3.\nAnswer: a*(a + 17)*(a + 529678)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16875)\/360)\/(-125) + (-58)\/144?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 566\nAnswer: 169.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1396 - -519.1396. Which is the third smallest value? (a) 0.3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = -2*z, -c + z = c - 15. Let g(j) = 16*j + 103. Let h be g(-3). Calculate the highest common divisor of h and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244592937 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d2dd4 (base 16) to base 6.\nAnswer: -221534100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 1. Let c(w) = 3*w + 2. Let r(x) = c(x) + 2*g(x). Let u(d) = -27*d. Calculate u(r(z)).\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1\/2*x**2 + 15*x - 3. Let q be r(-12). Solve -3 + 12 = q*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -4*s + 3*d, -2*s + 5*d + 6 = 0. Suppose 2*y + 0*b = -5*b + 9, b - s = -2*y. Suppose -138 = -y*v + 4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 46*h = -23*h - 161 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by (-137)\/(-8) + 21\/(-168).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.22 + 0.58. Let m = 0.797 + 6.203. Let s = m - r. Which is the biggest value? (a) 4\/7 (b) s (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - -2.12.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 119212*y**3\/3 + 1907974*y**2\/9 + 1391192*y\/9 + 79496\/3 = 0 for y.\nAnswer: -19874, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -30*g - 1054. Let s be u(-29). What is the nearest to -0.1 in s, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -5. Let q = -7.3 + g. Sort 2\/11, q, -4.\nAnswer: -4, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2939052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3955276 divided by -11702?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 15804079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*y - 2*y + 16, -12 = -3*y. Let n = 55 - q. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3039652.46 - -7.3.\nAnswer: 3039659.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 + 10*b + 2. Suppose -26*q + 67 = -2351. Suppose -g + 90 = q. Give u(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*p**2 + 3*p + 0*p + 553 - 215 - 120*p**2 - 3*p.\nAnswer: 4*p**2 + 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 1926*r - 5772. What is f(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d + 4. Let a(b) = -b**2 + 7*b + 87. Let s be a(17). Let p = s + 78. Put d, p, 5 in ascending order.\nAnswer: p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 - 398*w - 39601 = 0 for w.\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**2 + 0*i**3 - 2*i + 1\/4*i**4 + 3\/20*i**5 + 0. Factor a(w).\nAnswer: 3*w**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 2 u when four letters picked without replacement from xnuooup.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 145120.\nAnswer: 1015840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4322110351 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*(65835\/(-38))\/33*(-4)\/6\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkikiiiik.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 + 297.7432. Round q to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1737699km in nanometers?\nAnswer: 173769900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 3*k + 2*k)*(-6 + 2 + 2)*(7 + 9 - 3) + 2*k - 3 + 3.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2179 = -4*s - 1564, -k - 3*s + 760 = 0. Let i = k - -69. Suppose -i = -8*r + 3*r. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464325410?\nAnswer: 2, 5, 41, 67, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from oooooowooowooooooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*v + 11. What is the smallest common multiple of v and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118110364?\nAnswer: 2, 37, 798043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*f - k, -5*f = -k - k + 10. Let z = 20 + -12. Is 2*(-12188)\/(-8) - z\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**6\/20 - 3*v**5\/20 - 3*v**4\/8 + 3*v**3\/2 - 12*v**2. Let y(n) = 3*n**3 + 4*n**2 + 4*n - 4. Determine -4*f(u) - 9*y(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = -5*b. Let r be (b\/(-6))\/((-46)\/6). Suppose 5*i + y - 21 = 0, -3*i - i + 5*y + 40 = 0. What is the biggest value in i, 0.2, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33573947591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11237 from -0.0191.\nAnswer: 0.09327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 67 = 4*o, 0 = 9*u - 5*u + 2*o - 50. Let g(p) = p - 11. Let f(y) = -11 + 22 - 17. Give u*f(x) - 6*g(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 535069, 1070137, 1605205, 2140273, 2675341, 3210409?\n\"Answer: 535068*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*t**3 + 5072371111 - 5072371111.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130.6 - -129. Let y = 0.02 - -0.58. Let i = r + y. Which is greater: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 4*v + 27, 5*s + 5*v + 5 = 0. Let l be (s\/(-1))\/(7\/28). Suppose 3*t + u - l = 0, -3*t = 2*t - 5*u - 20. Solve -5*d = t + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28) + 0 + -5 + (-3*sqrt(77)*-5)\/sqrt(11).\nAnswer: -5 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:59 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*(-3)\/12)\/(30\/(-40)). Let w(g) = -165*g + 25. What are the prime factors of w(s)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 3*p**2 - 6*p**2 - p**2. Let v(o) = 0*o**2 + 0*o**2 + o**2. What is r(l) + 6*v(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:54 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2926838 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56905232 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655 is divided by 101.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 590 divide 1228380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**9*r**(-3))\/((r*(r\/(r*(r**(1\/6)\/r)\/r))\/r)\/(r**(-27)*r*r)) assuming r is positive.\nAnswer: r**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27850, 37827, 47804, 57781, 67758, 77735?\nAnswer: 87712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 131.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:15 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let s = -616407 + 616410. Solve -2*i + y = -2*y + q, 12 = 3*i + s*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05899 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-5) - (-4224)\/(-960))\/(12\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 2613?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/(-245) - 2\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -20, -1, 34, 91?\n\"Answer: l**3 - l**2 + 5*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(45)\/(sqrt(9)*-4))**2 - (-1 + sqrt(500))).\nAnswer: -105\/16 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*h + 2*h - 3)*(-32 + 32 - 10*h)*(-1 + 8 - 3).\nAnswer: -80*h**2 + 80*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 3*j + j + j - 4*j - 2*j + (-1 - 3 + 2)*(-j + 0*j + 3*j) - 3 - 2*j + 3.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 10 - 2*f + 3 + 16*f**2 to p*f**2 + v*f + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10))**(-31)*u**(-27)\/(u**(-6)*u))**(-38) assuming u is positive.\nAnswer: u**(-10944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 131.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 + 187. Let c = -492 + 495. What is the closest to 0.2 in -4, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 342 + 4*v + v + 0*v. What is the units digit of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49344 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -2*q, 5*c + q - 6*q - 20 = 0. Suppose c*m - 72 = -0*m. Suppose 3*u - 4*o - 1 - 27 = 0, -u = 3*o - m. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 15. Let w be b(-17). Let h be (w\/(-2))\/(-1 + 7512\/7516). Suppose -4*u + 1010 + 244 = 2*o, 0 = -3*o - 5*u + h. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2770143.\nAnswer: 3, 19, 23, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4572\/13 - 352. Which is the second smallest value? (a) -1\/9 (b) r (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:48 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -109. Solve 0*h + 3*h = n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4426, -4425, -4422, -4417, -4410, -4401?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14062*3199.\nAnswer: -44984338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455103.\nAnswer: 3, 11, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15099 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/101 + -109\/404. Is v > 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765 divided by 153\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -904 + 59 = -5*z + 2*u, -5*u = 0. Is 38 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1614, -1539, -1422, -1269, -1086, -879?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 7. Let h(x) = -x - 2. Let n(d) = -7*h(d) - 2*i(d). Let c = -4 + 0. Let w(f) = 3*f. Let a(l) = -2*l. Let k(z) = c*w(z) - 5*a(z). Give k(n(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -18 + 11 + (-2 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 = -0. Let b(k) = k**3 + 1. Let m be b(g). What are the prime factors of m*(-2 - -1) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a*q - a + q**4 - 4*q**2 + 66 wrt q?\nAnswer: 7*a + 4*q**3 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29349 take away 0.1?\nAnswer: -29349.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 328, 719, 1254, 1927?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Suppose 16*d = 19*d. Let h be -1*2 - -1*2. Let y(z) = d + h - 3*z - z. Calculate y(u(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3676 and -49?\nAnswer: 180124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/14 + -12)*(-24)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 20. Let w(g) = g + 1. Let h(o) = -6*o**3 - 2*o**2 + 5*o - 1. Let y(f) = d*h(f) + 2*w(f). What is the tens digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from yyseyyyyvzyssyvyvsy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3917612 times -3?\nAnswer: 11752836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3392*b**2*u**2*z**3 + 802373*b**2 + 1274*b*u**2*z**3 - 2*b*u**2*z**2 + 10*u**2 wrt z.\nAnswer: 20352*b**2*u**2 + 7644*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 - 7*h + 3*h)*((-4*h**2 + 4*h**2 + 6*h**2)*(-2 + 0 + 0)*(-1 - 4 + 2) + 0*h**2 - 2*h**2 + h**2).\nAnswer: -70*h**3 - 35*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4\/89, 0.023, 1\/6?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/((-3 - 2845\/(-945)) + 0) is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4 - -7) + -2 - (-354 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 261*c**3 + 2*c**2 - 31*c - 33. What is h(-1)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q)\/(q\/q**11*q))**47*((q**(-2)*q)**(1\/49))**41 assuming q is positive.\nAnswer: q**(36807\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*h = -70828, -410*h + 411*h - 35426 = -2*w. Is w a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - 4*d + 4*d)*(390*d - 248*d + 92*d)*(-1 + 1 - 3)*(2*d + 3*d - 3*d).\nAnswer: 4212*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19*i + 9. Let k(l) = 46*l - 22. Let j(a) = 5*k(a) + 12*u(a). Suppose -3*r - 4 = -2*r. Give j(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i. Suppose g - 11 = 4*q, -2*q - 6 + 18 = -4*g. Let c be s(q). Calculate the greatest common divisor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*u - 14, -5*r + 5 = 4*u - 13. Let s be (u\/5)\/(3\/(-60)). Let m = s + 10. What is the greatest common factor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415442737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 + 2*b - 7. Calculate m(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 7 = -2*b, 2*b + 2 = 55*j - 51*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18894086, 18894067, 18894048, 18894029, 18894010, 18893991?\nAnswer: 18893972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 + 0 = 2*k, -5*k - 75 = 5*i. Let p = -8 - i. Solve x - p = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603730, 603692, 603660, 603634, 603614, 603600, 603592?\nAnswer: 603590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.05 (b) -1\/18 (c) -0.1 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpl when three letters picked without replacement from {l: 1, p: 1, h: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50786745 and 1730?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 6, m: 1, o: 1, i: 6, k: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -127 - 74 - 5*z + 389 - 4*z**2 - 88 - z**2 = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**3 - 132 - 154*q + 152*q + 36 to x + c*q**3 + y*q**2 + j*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(192)\/sqrt(6)) - ((sqrt(91) + (sqrt(91) + sqrt(91)*-2 + sqrt(91) - sqrt(91))*4)\/sqrt(7))**2.\nAnswer: -117 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4115*c*q**2 + 2793*c + 926*q**2 + 45 wrt q?\nAnswer: -8230*c*q + 1852*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -301 - -343. Suppose -l - 40 + q = 0. Solve l*b + 20 = 2*u + 2*u, 3*u = 4*b + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s - 336861 = 1269559. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/1)\/(-3)*-1. Suppose -3*z - 3*f + d + 8 = 0, -5*z + 18 = 2*f. Solve -8*x + 3*x - 1 = z*m, 2*x + 3*m = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 3*b**2 + b**2 + (2*b + 0*b - b)*(-2*b + 4*b - b) + (2*b - 3*b - b)*(53 + 2*b - 53) - 3*b**2 - 2*b**2 + 4*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1308309 and 7303?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8260, 8262, 8264, 8266?\nAnswer: 8268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2*j + 15*j**2 - 5*j**3 - 4 + 3*j - 8 - 2 - j**4 = 0. Calculate j.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-20) + 2 + (-480)\/(-400)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 2\/81, -2\/9, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnlldeqqqeqenddqenql. What is prob of picking 1 l and 3 e?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3090497*c**3 + 155*c**2 - 13418?\nAnswer: 18542982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {o: 10, x: 1, u: 2, p: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/143*(7\/((-63)\/(-12)) - 1). Which is the third biggest value? (a) -0.5 (b) -4 (c) -2 (d) y (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0326 and 1.\nAnswer: 0.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-14 - (-1105)\/78). Put 2, -5, -0.03, w in descending order.\nAnswer: 2, -0.03, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, r - 39 + 45 = -4*f. Solve 0*u - r*u + 6 = -2*p, -3*p + 5*u = 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1541 - 1026. Suppose 3*r = y + 756, -2*r + 4*y - 7*y + l = 0. Calculate the highest common divisor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -593a42 + -4?\nAnswer: -593a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265952 + -24050. Let h be 1*2\/1 + t. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3 + 5 - 3. Suppose z + z - 34 = b. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(360)*-1 + sqrt(1584) + 0 + 3)**2*6.\nAnswer: 426*sqrt(11) + 55775\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**6\/6 + j**5\/2 - 5*j**4\/12 - 3*j. Factor r(i).\nAnswer: -5*i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from lebwbbebb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/8 in -5\/4, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -281*o - 1688. Let w be j(-6). Put 8, w, -29, 3 in descending order.\nAnswer: 8, 3, w, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 26*a\/3 - 28\/3.\nAnswer: 2*(a - 14)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84378 + 8478. What is h rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0*k + 2*k + 0*k) - 499*k - 13*k - 234*k - 2*k - 2*k + 5*k.\nAnswer: -743*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1197, 33 in ascending order.\nAnswer: -1197, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 9*q**2 - 23*q. Let z(s) = -s**3 - 4*s**2 - 10*s. Let w(j) = -4*n(j) + 9*z(j). Give w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350 (base 6) in base 10?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**2 + 3*m**2 + 4*m**2 + (m - 2 + 2)*(7 + 6*m - 7) + 3*m**2 - 4*m**2 + 0*m**2 - 2 + 5*m**2 + 2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2, 4*t + 0*m + 30 = -5*m. Let j = t - 16. Let w = -21 - j. Sort 2, 4, w.\nAnswer: 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 > 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4336 + 5248. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 851 and 253.\nAnswer: 9361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + 5*(sqrt(833) + (sqrt(833) - (sqrt(833) + 0))))**2.\nAnswer: 210*sqrt(17) + 20834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 371*q - 8. Let f be (-2)\/(-2)*-1*(4 - 9). Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40 - -5) + -1 + 0. Let y be t\/(-80) + (-2)\/8. Which is bigger: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -186, -180, -160, -120, -54, 44, 180?\n\"Answer: b**3 + b**2 - 4*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Let t(i) = i + 8. Let n be t(-3). Solve 0 = n*q + y - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-16)\/g**(1\/18)*g**(-2\/5)*g**(-8) assuming g is positive.\nAnswer: g**(-2201\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(39)\/(sqrt(12)*-6) + -3)**2*-1.\nAnswer: -1309\/48 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27*(-4)\/(-48))\/((-36)\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -601 - -4535?\nAnswer: 3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 4*r**4 - 8*r**3\/3 + r**2\/2 + 5. Solve d(b) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:13 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044.72586 + -0.11?\nAnswer: 1044.61586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41)\/4*(-16)\/(-2). Let d = -90 - s. Sort -4, -5, d.\nAnswer: d, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t**2 + 135*t + 19. Let q(v) = -3*v**2 + 26*v + 4. Let d(f) = 2*j(f) - 11*q(f). Calculate d(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151.5 + 151.49998161. What is g rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 6\/2 + -16 + 69 + -2.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -276*q + 23. Let v(t) = 69*t - 6. Give 6*f(n) + 23*v(n).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/497)\/(5\/((-70)\/(-4))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p. Let v(j) = -13*j**2 - 19*j**2 - 2 + 2 + 55*j**2. What is v(i(m))?\nAnswer: 1863*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, -401290, -1\/13, -11, 3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254524 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 7*u**2 + 13*u - 3. Suppose 0 = 2*y + 3*d - 7, 0 = 3*y + 3*d - 12 - 3. List the prime factors of o(y).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5268\nAnswer: -1\/5268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 341.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161455366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282 + -71. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 1536.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 26 = -o - 2*v, -1 = o + v. What is the common denominator of (-1)\/o*149\/(-3) and (-311)\/66 + (-2)\/(-3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46477, 91974, 137471, 182968?\n\"Answer: 45497*q + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6458690 - 3.\nAnswer: 6458687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3 - 14 + 0*f**3 + 0*f**3 + 5. Let q(l) = 4*l. What is q(i(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/3 - 31118*j\/3 + 16592.\nAnswer: (j - 6222)*(5*j - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 4*l + 1. Let u(q) = q - q + q + q**2. Let k(f) = 3*u(f) - z(f). Let p be k(-7). Sort 4, 3, p in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from inbiibbizbz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7230646?\nAnswer: 2, 443, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 13*b - 3*w + 12, -5*b + 2*w = 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12467 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 28*w - 25*w. List the prime factors of (-159)\/(10\/w*1 - -1).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33215, -1\/5, 0, 2 in descending order.\nAnswer: 2, 0, -1\/5, -33215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4\/7 - 51*f**3\/7 - 279*f**2\/7 - 75*f - 42 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + r**2 + r)*(-4 + 3 + 5) + (r + 1 - 1)*(2*r + r - 5*r) as w + t*r**2 + u*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let m be 1\/(-4) + 55\/380. Which is bigger: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -1 - 27. Let b = h + -15. Let q be b + (0 - (-50997)\/(-3)). Round q to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14475 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11572.8913 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 13. Is (764\/(-6))\/((-8)\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5633, 11274, 16915, 22556, 28197, 33838?\nAnswer: 39479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 2*a - 2*d = 10, -3*a - 5 = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 172\/(-1 - 1)*(-7)\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w. Let v(k) = 234*k**2. Let s(z) = -21*z**2. Let x(r) = 65*s(r) + 6*v(r). Calculate x(o(c)).\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9971013*r**2 - 7 + 9971020*r**2 + 7.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 944 - 135 - 1619*l**3 + 481*l**3 - 225 wrt l.\nAnswer: -3414*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - r + 5. What is i(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 2*b.\nAnswer: -b*(b - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -7823 in decreasing order.\nAnswer: -2, -4, -7823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d + 5. Let o(s) = -4*s + 3. Let v(w) = -2*c(w) + 5*o(w). Let l be v(4). Let z = 7 + l. What is the second smallest value in 1\/2, z, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 0*g - 3*g + (12*g + g + 15*g)*(1 - 4 + 4) to the form h*g + v and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from hhhthttthhh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -119, 45?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2370375 divided by -1075.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.20963376 rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 278980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 0.5 (b) 2 (c) -0.0929 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 16, -24*f + 256 = -5*f - 16*f - 40*v for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039495449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 771.5016 to 0 decimal places.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0 + -2)\/(-1). What are the prime factors of 26\/(f + 2) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**2 - o. Let w be g(1). Suppose w = -5*i - 4*y + 2, i + 18 = -5*y. Solve 5*u - i*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from lmtlmznmlllmmlmzm.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328, 1211, 1016, 743?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*g + 0*g - 10*g)*(-g**3 - 3*g**3 - 5*g**3) to r*g + x*g**2 + d + h*g**4 + t*g**3 and give h.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {d: 3, b: 1, e: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + x - 37 + 5)*(0 + 3 - 1 + 4 - 3 + 1 + (-1 + 0 - 1)*(3 - 2 - 3) - 2 + 1 + 2).\nAnswer: 9*x - 1125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o + 3*o**2 + 112*o**5 - 123*o**5 - o wrt o?\nAnswer: -660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41678 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 19404 = 42*n. Calculate the lowest common multiple of n and 176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 77393738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -479, -1377, -3113, -5963, -10203, -16109?\nAnswer: -23957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 75. Let w be (-8)\/y + (-28)\/(-36). Let g be 18\/(-9)*(-1)\/w. Calculate the greatest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66662 or -67267?\nAnswer: -67267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9368.02196 and -0.76777.\nAnswer: 9367.25419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 11. Let q(j) = -20*j + 7. Let o be q(-6). What is the remainder when l is divided by 14\/(-35) + o\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 - 36 = 0. Let t(s) = -s + 3. Let i(f) = f**2 - 3*f - 2. Let n be i(4). Let l(u) = -u + 1. Let z(k) = n*t(k) + r*l(k). What is z(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15545251 is divided by 1970?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*y + 5351 - 5290 = 0, 32 = 3*l + 5*y for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/16)\/((165\/(-10))\/(-11)))\/(-5)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a factor of 18760770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*n + 3 + (0 + 0 + 2*n)*(2 + 2 - 3) + n + n - n - 1 - n + 1)*(3 - 14*n + 0*n - 23*n) to k*n**2 + c*n + d and give k.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -1 - 24. Suppose -f*s = 9 - 19. Solve 5 = s*l - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**3 - 1456*t**2 - 77800*t = 0.\nAnswer: -50, 0, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 206350000 rounded to the nearest one million?\nAnswer: 206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/9 > 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5 = 3*s + 3*o, 5*o - 35 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*p + 101*p = 4. Let y = -1 + 3. Let d(b) = 0*b**2 + 1 + 3 - 7*b + 2*b**y. Calculate d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = -204 - 306. Let w be ((-68)\/(-85))\/((-3)\/(m\/4)). Solve 1 = -w*n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-9) - 70\/(-63)*6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/((3*sqrt(24))\/sqrt(4)))\/(2*(sqrt(363)*-2 + sqrt(363))).\nAnswer: -sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12872423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 156 = 28*w - 5*o, -5*w - 4*o = -195. Calculate the remainder when 122 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 - (2 - 2 - -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + (-1 + 1 - (50 + -57))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/31976 and -86\/6705.\nAnswer: 214399080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130069264?\nAnswer: 2, 13, 109, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2332 = -1894*w + 1947*w. What is the remainder when 1 + -1 + 122 + 3 is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-525)\/25 + (-60)\/(-3). Let x(z) = 14*z**3 + 12*z**2 - 12*z + 12. Let t = -2 + -10. Let k(b) = -5 + b + 4 + 0*b - b**2 - b**3. What is c*x(a) + t*k(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - z**2 + z. Suppose -g + 1 = -3. Let d(o) = -g*o + 5*o - 3*o. Determine d(m(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75873, -75814, -75755?\n\"Answer: 59*q - 75932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380580716 to the nearest integer?\nAnswer: 37156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1128 - 0.0128. What is the second smallest value in 1\/3, 12, c, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 3, l: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 166866172 to the power of 1\/2, to the nearest integer?\nAnswer: 12918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 13186296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -36.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(0 - 6 + 2)*(4*z + 2*z - 5*z) as c + v*z and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by -2?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 85\/75 - 1 - 174\/(-45). Solve 2*s - 5*i = 21, s + 4*i + 14 = v*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from fffdifaaidxiffxdd?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3294 by -18.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -165, -202, -253, -318, -397?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2\/1 + 4 + -4 - -58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 - 25*i - 125. Determine f(13).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/5 (b) -0.6 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*u + 5*g, 3*u + 3*g = -2*u + 40. What is the remainder when 37 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220105 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3106 divide 2545104149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -8 - (34 + -24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/7 <= 366802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 30 - 60 + 30 - 2*w. Let a(u) be the second derivative of 0 + 0*u**3 + 0*u**2 + 5*u - 1\/2*u**4. Calculate a(d(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3 + 3)*(2*b - b - 4*b + (-3 + 1 + 3)*(-b + 2*b + b) + 285*b - 448*b - 327*b)*(-1 + 1 + 2).\nAnswer: 982*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 5 (c) -3.5 (d) 3 (e) -5 (f) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 928 = 663 + 505 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 take away 2353349826334?\nAnswer: -2353349826267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -28*x**3 + x + 1. Calculate the lowest common multiple of h(-1) and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b*w**3 + 19*b*w**2 - 36*b*w + 74*b - 147652875*w**3 with respect to b.\nAnswer: 7*w**3 + 19*w**2 - 36*w + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 27336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*f**2 + 2*f + 60*f**2 - 2*f**3 + 19 - 199*f**2 + 58*f**2 as v*f**3 + g*f + a + p*f**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18064324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -636*k - 13*k**2 - 6*k**2 - 630*k - 33*k**2 + 1265*k in the form t*k + m + b*k**2 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-11))\/(g\/((g\/(g*g**0))\/g)))**(-27)*(g**(-2))**(5\/7)*(g**0)**(-34) assuming g is positive.\nAnswer: g**(-1900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.8 - -9.3. Let u = d + 15.52. Sort 5, 0.5, u in decreasing order.\nAnswer: 5, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -10\/31 (c) -3 (d) 705 (e) -582\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 + z**4\/3 + 5*z**3\/6 + z**2 + 4*z. Let k be y(5). Suppose -k*g + 6 + 12 = 0. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + j**3 - 2*j**3)*(0 - j + 0 + (1 + 1 - 4)*(-2 - 2*j + 2) - 4*j + 2*j + 3*j)*(2 + 0 - 1) + (2*j**2 - 4*j + 4*j)*(j**2 + 30*j**2 + 8*j**2).\nAnswer: 86*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 625297668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g - 4. Let c = 180 - 186. Suppose 0 = 2*t + 3*t + 10. Sort g, c, t.\nAnswer: c, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/3 + 5*f**3\/6 - 3*f**2\/2 + 4*f. Calculate s(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**7\/210 - w**5\/15 + 3*w**2\/2 + 3. Let b(r) be the second derivative of l(r). What is the third derivative of b(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6806 + -3349. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-230) - (-5052)\/92. Calculate the highest common factor of 209 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.42 rounded to zero decimal places?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 248. Calculate j(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 746911219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779435 is divided by 593143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 30149337.\nAnswer: 60298674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/3 + 4*v**2 - 3*v. Let o be g(-2). Suppose -5*f = q - o, f + f + 46 = 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * 26210.\nAnswer: 497.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -91, -191, -303, -409, -491, -531?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.36475 to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = 4*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + 2*s. Suppose -4*w - 563 = -3*q, -3*w - 240 - 324 = -3*q. What is the lowest common multiple of q and s?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 8268.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -141288 equal to -141287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.626068ml in litres?\nAnswer: 0.009626068","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 673098113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/24021 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/20)\/(3\/(-15)). Let t = 4 + u. Solve -4*p - 3 = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 119. Put 8, q, 1, 2 in descending order.\nAnswer: 8, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-58))\/((-6)\/28)*(-54)\/(-99).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70531006 to the nearest integer?\nAnswer: 8398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6865086 divided by -2\nAnswer: 3432543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 4*n - 6 + 7*n. Suppose 5*z - 4*x - 10 = 0, -2*z - x = 2*x - 4. Suppose 0 = 4*g - 0*o - z*o, 0 = 4*g + 5*o. What is f(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -388027 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**0))\/s*s**(-6)*(s*s**(-2\/3)*s*s)**23)\/(s**1\/s**(1\/4)*s**3*s\/s**(-2)) assuming s is positive.\nAnswer: s**(479\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25244.8 + 25245. What is the third smallest value in 1.7, m, -0.83, -3, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -61*h**2 - 15*h + 5. Let v(y) = -62*y**2 - 20*y + 5. Let s(u) = -3*j(u) + 2*v(u). Let r(x) = 324*x**2 + 28*x - 28. Give -5*r(a) + 28*s(a).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250664\/84 + 28\/(-294)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0 - 9. Suppose 6*h - 9 = c*h. Calculate the smallest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 656734.1kg?\nAnswer: 656734100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-3)\/63). Let n be 4\/5 + 121\/55. Solve 0 = y - n, x - y + r = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48799?\nAnswer: 48799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -19*s. Let g(c) = -491874*c. What is g(u(z))?\nAnswer: 9345606*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/18)\/((-20)\/(-18)). Let m = -4103.4 - -4104. What is the fourth smallest value in f, m, 1\/7, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 18*c**2 + 29*c - 9. Determine z(18).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 11*b + 31. Let c be i(2). What is the highest common factor of c and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*b*z**2 - 16*a**2*z**3 + 2*a*z**3 - a*z**2 - 3*b*z wrt a.\nAnswer: -6*b*z**2 - 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*p - 3*n, 4*n = -p - p + 16. Solve -3*z - 3*u + 20 = p, -3*u + 2 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -143, -285, -427, -569?\n\"Answer: -142*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*k + 16, 20*k - 13*k = 11*k + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5819 from 219405579.\nAnswer: 219399760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 4*b - 9. Let y be d(6). What is the common denominator of 99\/16 and -2 - y\/(-84) - 2\/7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153))\/sqrt(9) + sqrt(17) + (sqrt(17) - (sqrt(68) + 0)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58824 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/26 and 21\/456833.\nAnswer: 913666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (6 + 3)) + (-1 - (0 - 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1752\/(10 - -63) - (0 + -55).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 1092*o + 3312 = 0. Calculate o.\nAnswer: -3, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32313 + 4?\nAnswer: 32321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -7. Suppose 2*p + 3*p + 5*a = -20, 0 = -2*p + r*a - 8. Is 3 a factor of 2\/(-6)*(p + -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/25 of a microgram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(((-2805)\/(-35))\/33)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (2 + sqrt(245)))*6 + 0 + sqrt(20) + (sqrt(5) - sqrt(20)\/sqrt(16)).\nAnswer: -67*sqrt(5)\/2 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -23*a - 16. Let d(n) = -12*n - 10. What is -5*d(x) + 2*r(x)?\nAnswer: 14*x + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127 (base 12) in base 11?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282116205 and 34265?\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 4. Let q be x(0). Suppose -3*z - f = 2*f - 51, q*z + 2*f - 66 = 0. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130217 + -3?\nAnswer: -130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -1\/15*l**5 + 0*l + 0*l**3 + 1\/60*l**6 + 0*l**4 + 17*l**2 + 0. Factor z(p).\nAnswer: 2*p**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 66772*h + 133528 = 0. Calculate h.\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649 = 161*w - 639 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*-1*-3. Suppose 2 = 5*v - y. Calculate the least common multiple of (2\/(-4))\/(v\/(-88)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4751*i**4 + 138*i**3 - 233971*i wrt i.\nAnswer: -57012*i**2 + 828*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/34 + -2)\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 22. Let x be b(-7). Suppose z = 3, 5*a - 3*z + 2*z = -x. Let o = -2 + 2. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let g be -3 + (-3 - 28 - 0). Put 4, d, g, 1 in descending order.\nAnswer: 4, 1, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 100. Let m(g) = 19*g**2. What is i(m(c))?\nAnswer: -361*c**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/63 - 11*w**4\/24 + 4*w**2. Let i(r) be the second derivative of b(r). What is the units digit of i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 14920*i + 44715.\nAnswer: 5*(i + 3)*(i + 2981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1b6a69?\nAnswer: -1b6a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let n(j) be the first derivative of j**6\/45 - j**3\/3 + 4. Let h(z) be the third derivative of n(z). Calculate h(f(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {i: 4, g: 3, z: 3, n: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2050.1591 - -2050. Round v to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515883791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**2*v**2 - 3270*m**2*v - 1002*m*v**3 + 4 wrt v?\nAnswer: -6*m**2 - 6012*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4280 + 4284. What is the closest to 2\/13 in y, 0.9, -3\/5, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2)\/4*1). Let u = x - 5. Let d(a) = -16 + 3 + 4*a + 12. Let p(o) = 5*o - 2. Give u*d(l) + 2*p(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(504) - sqrt(504))*-2)\/((sqrt(30)\/sqrt(5)*-1)\/sqrt(3)).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1288.67 + 1289. Put -2\/5, u, -61 in descending order.\nAnswer: u, -2\/5, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsbx when four letters picked without replacement from fxbsssfsbsss.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0) + (-5 - -4). Let p = 0 - 1. Let i be p*1 + (-15)\/(-25). Is u < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - y - 12 = 0, -3*h + 8*h - 2*y - 14 = 0. What is the smallest common multiple of (-3)\/(-6*4\/376) and h?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/8)*u**(-5)*u*u)**20\/(u\/(u\/(u*u**(-10)\/u))*u**4)**12 assuming u is positive.\nAnswer: u**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 146252231 to the power of 1\/2, to the nearest integer?\nAnswer: 12093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2 + 35. Suppose 4*i + 4 = 0, 5*o - 4*i = 13 + n. Suppose 0 = -j - 4*j. Solve j = -4*k - o - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*y**2 + 42*y**2 + 549*y**2.\nAnswer: 974*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 5*v**2 + 3*v - 28. What is t(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 91 = 69 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4308672.\nAnswer: 2, 3, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*k + 239*k**4 - 24*k + 130*k**4 + 0 + 0 + 17*k**2 wrt k?\nAnswer: 8856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 630 - 1308 + 80*d**3 + 588 wrt d.\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j + 3. Let a be ((-1)\/j)\/(1\/(-15)). Let m(b) = -4*b. Let i(r) = -5*r. Determine a*i(o) + 6*m(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {f: 1, b: 2, c: 1, t: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, 1.501, 0, 863, 1\/7 in decreasing order.\nAnswer: 863, 1.501, 1\/7, 0, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:48 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, f: 2, j: 6, i: 2, p: 1, e: 6}. What is prob of picking 1 j, 2 i, and 1 y?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 10*c**2 + 3*c + 6. Let x be l(-5). Let o = x - -2143\/16. Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2196563\/82 - 26787. Find the common denominator of -81\/4 and r.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3*m**2*n**2 - 2*f**3*m*n**2 + 3*f**3*m*n + 11*f**2*m*n**3 - 91*f*m**2*n**3 - 25*f*n**3 + 3*m*n**2 wrt m?\nAnswer: -28*f**3*n**2 - 182*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -52. Let t(u) = -3*u**2 - 4*u - 4. Let y(m) = m**2 + m + 1. Let v(s) = t(s) + 4*y(s). Let h(x) = -3*x**2 - 3. Determine f*h(p) - 4*v(p).\nAnswer: -p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 4*i + 52. What is the greatest common divisor of 143 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwzw. What is prob of sequence zw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474.0335 hours to minutes.\nAnswer: 28442.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.40225 or 0?\nAnswer: -0.40225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9567 - -4.8637. Let v = u + -5.61. Let a = v + 0.273. Round a to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {s: 1, p: 9, z: 1, d: 1, o: 2, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 14*y + 8. Let p(f) = -f**2 + 13*f - 8. Let i(d) = -6*p(d) - 5*s(d). Let h be (5 - -3) + (-1 - 0). What is i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234790609?\nAnswer: 113, 1093, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-133 + 147) - 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55120600 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 9, 11, 13, 15, 17?\n\"Answer: 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220002 - 10222303?\nAnswer: -10002301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29*y**3 + 177*y**2 + 31*y + 96. Determine w(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -982, -828, -674?\n\"Answer: 154*d - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 7:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.012 + -0.01. Let s = j - 0.048. Round s to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.3178 to one dp.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.38 and 0.93542?\nAnswer: 4.0971396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3400389323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12480 and 28522?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i - 51. Let p be d(-5). Let f be 2\/(-8) - ((-22201)\/p)\/1. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/3*8\/(-10). Suppose -19*d = -199 - 29. Calculate the highest common divisor of d and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 158 = -3*m. Suppose 2*j + 294 = r + 2*r, -4*j - 588 = -5*r. Let f = m - j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + o - 1021 = -9*x, 3*x = 2*o + 1036. Calculate the greatest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:27 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -17*i - 16. Suppose -39 = -3*v - 12. Let a(d) = 4*d + 4. Let r(o) = v*a(o) + 2*g(o). Calculate r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(3*h + 3 - 3) - 1 + 1 + h + 3*h - 12 + 12)*(-1 + 0 + 3) - 5*h + 6 - 9 + 6.\nAnswer: -3*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8120006, 8120001, 8119996, 8119991, 8119986?\nAnswer: 8119981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((3\/(-15))\/(((-24)\/9)\/(-8)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 8*x + 8. Let o be j(-6). Suppose 2*u + 0*u - o = 0. Suppose u = 5*w - 17. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/25)\/l**(-1)*(l**7\/l)**(9\/2) assuming l is positive.\nAnswer: l**(702\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -126*u + 1374. Determine o(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11108 - -11122. Calculate the smallest common multiple of t and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:53 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 18\/528119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0. Let r = 85.1 + -85. Put 7, a, r in decreasing order.\nAnswer: 7, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 times 6183?\nAnswer: 1657044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let w(d) = -283*d**2. Determine p(w(a)).\nAnswer: 283*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 111085.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 14*x**2 + 11*x - 8. Let c be a(-13). Suppose c*f - 280 = 22*f. Is 18 a factor of 3\/5 + (-4368)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaakkkaaaaaaakkaaaa. Give prob of sequence aa.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*o - 6*o, -3*o - 6 = 0. Solve 2*t - 4*k = 1 + 11, 3*t - m*k - 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 37*k**3 - 2*k. Let c(w) = -185*w**3 - w**2 + 11*w. Determine -2*c(r) - 11*g(r).\nAnswer: -37*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8103, 8107, 8111, 8115?\n\"Answer: 4*y + 8099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6208.587 - 6206. What is v rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1541 (base 15) to base 16.\nAnswer: 11d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13 = 2*p, 10985*p - 10982*p - 40 = -4*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -42*m**2 + 29 - 29 + 74*m**2 - 55*m**2. Let j(c) = 5*c**2 - 2. Let p(v) = -16*v**2 + 7. Let w(n) = -7*j(n) - 2*p(n). Determine s(w(y)).\nAnswer: -207*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/6, 5, 0.06, -3, -1 in descending order.\nAnswer: 5, 0.06, -1\/6, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7544 - -1.4544. Let f = -0.03 + 0.43. What is the fourth smallest value in 4, h, 3\/2, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -17787\nAnswer: -1\/17787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -24. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 10}. What is prob of picking 3 r?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 12*r + 43. Let k be a(8). Let z = 171 + k. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c*x**3 - 2*c*x**2 - 19694*c*x - 87*c - 3*x**3 + 26*x**2 wrt x.\nAnswer: -114*c*x - 4*c - 18*x + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s. Let u(g) = -6*g**2 + 2*g + 138. Calculate u(r(f)).\nAnswer: -384*f**2 + 16*f + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**3 - 160*y - 14*y - 11*y**3 + 2*y - 5*y**2 wrt y.\nAnswer: -42*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*(-111)\/(-1295)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p + 3 + 0*p + p**2. Let u be m(0). Let t = -1017 + 1016. Put -4, t, u in ascending order.\nAnswer: -4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 62. Suppose 2*f - o = -y + f, 0 = 4*y - f - 174. Suppose -a - 60 = -5*g - 4*a, g - a = 20. Calculate the remainder when y is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - v - 1 = 0, 10*v - 6*v - 29 = -3*p. Let b(m) = -7*m**3 + 5*m**2 + 3. Let k(n) = 14*n**3 - 9*n**2 - 5. Calculate p*k(h) + 5*b(h).\nAnswer: 7*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 + -181. Is 0.3 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + (6 + 3 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003430129533 to five dps.\nAnswer: -0.00343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20781 (base 9) to base 6\nAnswer: -143414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-4)\/18)\/((-6848)\/1284).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9001.98 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**28\/w))\/w)**(-1\/3)*(w**(-1\/3)*w)**12 assuming w is positive.\nAnswer: w**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 22*p**2 - 955*p - 22000. Calculate i(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) -1\/24 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.2 times -253?\nAnswer: -129333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 61*n**3 + 13*n**2 + 2*n - 2. Let o(v) = 306*v**3 + 66*v**2 + 12*v - 11. What is -2*o(k) + 11*t(k)?\nAnswer: 59*k**3 + 11*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126095691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1919 - -1939) + -26 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, b: 6}. What is prob of picking 3 g?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i. Let h(k) = 9*k + 3. Let b(n) = -n + 1. Let p(t) = 4*b(t) - h(t). Suppose 4 = -3*a + 31. Let g = 84 + -86. Determine a*j(d) + g*p(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10310541 (base 6) to base 12\nAnswer: -128451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -4.3. Let g(d) = -d**3 + 4*d**2 + 3*d - 13. Let m be g(4). Is m at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 9*o**5\/5 + 183*o**4\/4 - 5*o**3\/3 - 31*o**2\/2 + 1776. What is the third derivative of v(z) wrt z?\nAnswer: 216*z + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1007956*m**2 - 5039776*m - 20 = 0. What is m?\nAnswer: -1\/251989, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -335497, -1342551, -3020975, -5370769, -8391933?\n\"Answer: -335685*u**2 + u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((1 - -6) + (15 + -16 - -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -5 + (-18 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:27 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a, -11*a = -4*f - 317 + 293 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15978*w**3 - 39*w**2 - 312*w + 39. Let n(h) = -841*h**3 - 2*h**2 - 16*h + 2. Determine 8*c(p) - 156*n(p).\nAnswer: 3372*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 9 = -2*x. Let b = x - 1. Let u = b - -1. Solve u*f + 12 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 219 = -223 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g - 347. Let j be (-2 - -2) + (-4)\/2. Let z = j + 4. What is the remainder when c(-16) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) - (sqrt(1458) + (sqrt(1458)*2 + sqrt(1458) - sqrt(1458)) + sqrt(1458)) - (sqrt(18) - sqrt(90)\/sqrt(5) - sqrt(18))*5)\/(4*sqrt(81)*4).\nAnswer: -11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 529918357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80882151, -80882152, -80882153, -80882154, -80882155, -80882156?\n\"Answer: -o - 80882150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 96 + 666 = 4*y, -143 = -y + t. Suppose -y = -2*f + n, 110 = 4*f + n - 180. Calculate the highest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millimeter in micrometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 2*p)*(p + 0*p - 9*p + (164*p - 63*p + 60*p)*(-3 + 1 + 3) - 5*p + p + 2*p).\nAnswer: -151*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/4 (c) 0.2 (d) -1\/3 (e) 1\/4 (f) 1018\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*m - 175*m + 28 = 0. Suppose -3*l = m*a - 5008, 0*l + 1252 = a + l. What are the prime factors of a?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7387 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6353*j**2 - 12742*j**2 + 6369*j**2.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 6019?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.6 + 6.6. Which is the second biggest value? (a) 1\/4 (b) f (c) 2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 105 = -29*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196896 and 28128.\nAnswer: 196896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6*q + 261. Calculate the remainder when q is divided by (2\/3)\/(1\/24).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-265) + (-4284)\/(-12402). What is the closest to 0 in 1, -1\/28, p?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -86*v + 9*v + 59*v - 51 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 292, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -995348715 from 6.\nAnswer: 995348721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -17. Does o = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**3\/6 + 3*i**2\/2 + 6*i. What is the derivative of r(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/13)\/c*c)**9*((c\/(c\/c**(-32)))\/c)\/(c**20*c) assuming c is positive.\nAnswer: c**(-729\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -18606*p. Let a(r) = r. What is a(c(k))?\nAnswer: -18606*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11742, -94646, -319668, -757866, -1480298, -2558022, -4062096, -6063578?\nAnswer: -8633526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 7. Let m(n) = 5*n + 13. Suppose 0 = 19*l - 22*l + 33. Determine l*z(t) - 6*m(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + ((-142)\/56 - -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221767033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:50 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(-6)\/63 + 49\/3. What is the highest common factor of 68 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-6 + 1 - (-13 + 33 + -41)) - 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, n: 5}. Give prob of picking 2 z and 1 n.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, e: 4, w: 5}. What is prob of sequence at?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 550 and 549 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1*(-2)\/3). Let r be (-1)\/(-2 - s\/4). Suppose -r*a = 0, 2*y - 14 = 2*a - 0*a. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, 5, -294 in decreasing order.\nAnswer: 5, 0.1, -3, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347.8 - 348. Put -2\/5, -0.6, -5, t in descending order.\nAnswer: t, -2\/5, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 900, 5071, 12022, 21753?\nAnswer: 34264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(0 + sqrt(304)*1 + 0 + -2)**2*-5 + 1).\nAnswer: -9234 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 + 5*n - 37. Let l be p(7). Let c = l - -196. Let a(z) = -2*z**2 - 2*z. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u - 85. Solve 5*d = 2*m - u, -m = 2*d - d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsesfffbfffffersbff. Give prob of picking 3 f.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/257 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -288497, -288496, -288495, -288494, -288493?\n\"Answer: c - 288498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = 5*i. Suppose -5*n + 371*x - 375*x - 18 = 0, -4*n = 2*x + 6. Solve -n*r + i*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.95 - 0.05. Which is the fourth biggest value? (a) 0.5 (b) -2\/5 (c) y (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 5286*o**2 - 111547*o + 530700.\nAnswer: (o - 5307)*(o - 4)*(o + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 19) + -5 + -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 42. Let q be d(15). Suppose q*o - 14 = 40. Solve -5*n + r - 15 = 0, o*n - 2*r + 6 = -r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1216 divide 14191445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/(x\/x**(-2)*x*x))\/x))**(20\/13)\/(x\/(x\/(x*x\/x**(-9)*x))*x**9) assuming x is positive.\nAnswer: x**(-173\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = j - 0, -4*u = -j - 1. Let o be ((-120)\/(-36))\/(u\/3). Let l(z) = 3*z**2 + 6*z + 14. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 574991483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274577*c**5*s + 2*c**3*s + c**2*s + 2*c**2 + 2902*c*s - 21*s wrt c.\nAnswer: -16474620*c**2*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 6*v + 6. Let f be t(-3). Let q(r) = -r - 3. Let y be q(-5). Solve f = 2*b - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/6 + r**3\/2 - 7*r**2\/2 + r + 6. What is the least common multiple of 10 and l(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-64)\/8)\/(-8))\/(-1))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 1, y: 1, k: 4}. What is prob of picking 1 y and 2 k?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 3*n**2 + 2*n**2 + (666 - 421*n - 666)*(-n - 2*n - 3*n).\nAnswer: 2527*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24704421, 49408836, 74113251?\nAnswer: 98817666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2*k + 1. Suppose 5*x - 8 - 21 = -s, 2*s - 8 = 0. Let v be (27\/45)\/(1\/x). What is a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in 0.4, -0.4, 44, 47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4349 + -4348. Sort -11.9, 0.4, p in descending order.\nAnswer: p, 0.4, -11.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((518\/63 + -7)\/((-906)\/1359))\/(1\/(-12))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1149 = k - 4*k. Let u = k + -248. Suppose 3*i - u = -2*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)\/sqrt(490)*1 + -4)**2.\nAnswer: -32*sqrt(11)\/7 + 960\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -5*j - 23, -4*s + 12*j - 7*j = -24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 558 divided by 93\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1023620 by 2015.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 3\/(0 + 3). Suppose -11 = -2*y - a. Calculate the lowest common multiple of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 72*i**2 - 28*i + 43. What is u(2)?\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441\/1090 + 1\/218. Let n = 2 + 2. Let j = -1 - n. What is the nearest to r in 5\/4, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = v + 2*a, 5*a = 2*a. Suppose -2*c = -6*c - 20. Let q(w) = -8*w - 31. Let l be q(c). Calculate the greatest common divisor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by 46\nAnswer: -116\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*n + 5 + 13 - 17 + (-4 + 4 + 3)*(-4*n + 3*n - n) in the form c + v*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 24*r + 1664. Give v(-67).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 - 2*t**5 - 4*t**5 + (3*t**4 - 3*t**4 - 6*t**4)*(-3 + 3 - t).\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8364 + -3139. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 201. Let i(m) = -5*m + 4 - 1 + 4*m - 1. Determine i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r - 2*r)*(-4*r**2 + 0*r**2 + r**2)*(r**2 + 4*r**2 - r**2 + (-10 + 7*r**2 + 10)*(1 + 0 - 2)).\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4648*n + 144 = 4632*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -253) + -221 - (1 - 80)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201699259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r = 39*r + 6106. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/30)\/((-3)\/518). Let x = c - 77\/3. Calculate the common denominator of (-125)\/28 + (-2)\/8 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0 - -1) + (-86 - (87 + -50 + -48)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 111*d - 2978. Give f(-66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(-4)*((21 - 62) + 40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -182*d**2. Let z(k) = 3*k**2 - 7069364*k + 7069364*k. Give z(o(l)).\nAnswer: 99372*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79815, -159496, -239177, -318858, -398539?\n\"Answer: -79681*y - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 + 2*x. Is 2 a factor of v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127421 is divided by 127148?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (708\/16 + 2)*(24 - (-4270)\/(-175))?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 35 = -5*h + 3*a, 0 = 4*h - a - 32. What is the remainder when 187 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**7\/15 + n**4\/24 + 15*n**2. Let s(b) be the second derivative of v(b). Let g(j) = j. What is g(s(m))?\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 45*r**2 - 37*r - 341. Let c be w(44). Sort c, 0.11, 4.\nAnswer: c, 0.11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -502*z + 7166. Calculate m(12).\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313633 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/13 + 8966*x**2\/13 - 80568*x\/13 + 161064\/13 = 0. Calculate x.\nAnswer: 3, 6, 4474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13504)\/(-44) - 4\/(-44). Suppose 3*j - 5*h = 318, -4*h - q = -4*j + 125. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 57*z - 28. Let t(i) = 18*i - 10. Give 3*j(b) - 8*t(b).\nAnswer: 27*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389494*v**4 - 22*v**3 - 11502*v**2 - 86.\nAnswer: 9347856*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -5*v + 52, -3*f - 85 = -5*v. Let o be 2\/(-7) - (-900)\/v. Suppose o = 2*y - 426. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l + 79. Let i be (3 - -1 - 2) + 2. Suppose -45 = -7*c + i*c. What is the remainder when w(-4) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.89 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - 3) + -82 - (1 - 5)) + -2078 + 2065?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34460 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 150*y**3 + 156*y**2 - 150*y - 153 = 0. What is y?\nAnswer: -1, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -7*y + 119. Suppose -y = -5*w + 18. Let g(h) = h**3 - 4*h**2 - 4*h - 2. Let x be g(5). Solve -6*m + w*c - 16 = -x*m, m - 8 = -c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 10*f**6\/3 + 15*f**5 + 20*f**4 + 5*f**3 - 5*f**2 + 80. What is k in z(k) = 0?\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4*(-24)\/(-9). Let t be -1 + k + 8\/(-6). Let a = -0.09 - 0.03. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, -1.6, 177, -9\/5, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2311684 weeks?\nAnswer: 139810648320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:03 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08063 to three dps.\nAnswer: 0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - t + 4 = -6*t, -3*z + 6 = t. Solve o - d - 6 = 0, z*o + 0*d = -3*d + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/19 (b) 2\/3 (c) -1037\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -144*i**2 + 27*i + 12. Let f = -3441 + 3443. Let s(t) = 11*t**2 - 2*t - 1. Give f*r(o) + 27*s(o).\nAnswer: 9*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -345, -333, -305, -255?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -8 - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1868 (b) 4 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:21 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 3*i. Suppose n - 25 = 5*u - 0*n, -24 = u - 4*n. Let b = -3 + 4. Let c = b - 4. Let f(p) = 2*p**2 + 4*p. Give c*f(g) + u*s(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*c - 10, 3*c - 8*c - 6 = -3*f. Is c smaller than 2\/347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*s - 15, r + 0*r = 2. Let d = 53\/7 - s. Let v = 0 + -0.2. Sort v, d, -0.1 in increasing order.\nAnswer: v, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5746 and 10125.\nAnswer: 58178250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-2*p + 5*p + p) + 2*p - 3*p - 2*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*k - 1439 = k, 5*i - 2387 = 4*k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + k + 3 - 2)*(89 + k + 87 - 178) + 0*k - 2*k**2 + 0*k)*(-3*k + 2*k + 0*k).\nAnswer: -k**3 + 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7095 and -2258.\nAnswer: 16020510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150862?\nAnswer: 2, 575431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 19*o + 417. Let y be h(-22). Let r = -129 - -131. What is the closest to y in 3\/4, 0, -3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3 - 4)*-2. Let s(k) = 43*k + 45. Let r(t) = -11*t - 11. Let m(g) = 9*r(g) + 2*s(g). Let f(l) = 87 + 0*l - 82 + 7*l. Determine b*m(u) + 11*f(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 33*g - 5*h = 223, -5*h + 101 = g. Solve -g = 17*d + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pppccppp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -13. Let q = j + -20. Which is the closest to -1? (a) 1 (b) q (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(4\/5)*l*l**(-8) assuming l is positive.\nAnswer: l**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 134 - 53b1?\nAnswer: -527b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(4\/8). Suppose 0*f + q*f = 30. Let d = f + -4. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.73 + -0.23. Let i = l - 0.4938. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 552.84155?\nAnswer: -552.84155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 286786584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/21, 5, -0.06, 17?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 56 (b) -1 (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -12. Let g = a - 4. Suppose -4*j = -g*c + 16, c - 2 = -2*j + 4*j. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {y: 2, x: 1, l: 1, h: 2, m: 2, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1785)\/10)\/7*-16. Let f = -373 + v. Let t(p) = -34*p. Let i be t(-1). Is i at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*b - 1. Is 106*b\/(-4)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1023, -1064, -1105, -1146, -1187?\n\"Answer: -41*r - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350764.\nAnswer: 2, 87691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*58\/5684*-70?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15298104*q + 21413305 wrt q?\nAnswer: -15298104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) -26 (d) 3 (e) -0.075 (f) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057772.\nAnswer: 2, 264443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9605?\nAnswer: 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48\/11 - -402\/77. What is the common denominator of m and 67\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54011837.\nAnswer: 11, 829, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*b**2 - 48*b**2 + 64*b**2 as k + s*b**2 + t*b and give s.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 843*s + 1029. Let h be l(212). Let g = 0.3 - 1.3. What is the nearest to -2 in g, h, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21010000122010 (base 3) to base 14\nAnswer: -705594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*f**2 + 40*f**2 - 22*f**2)*(1 + 2 - 4)*(-5*f + f + 3*f) as n*f**3 + j*f + c*f**2 + g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - q = 59, 4*q = b + 2*q - 13. Solve -2*k - b = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-3))\/(-69*33\/(-88803))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3*10\/(-90))\/(1\/132)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 61*r**2 - 131*r - 197. Calculate the remainder when 592 is divided by y(-63).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 130, 0, -4, -11, -3, -64 in decreasing order.\nAnswer: 130, 2, 0, -3, -4, -11, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 - 3754364.\nAnswer: -3753983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*t - 68 = 0, 3*h - 7*h + 112 = 2*t. Sort -3, h, 1 in descending order.\nAnswer: h, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4646581 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -33\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 69 = 21. Suppose 0 = -15*k + 7*k + s. Suppose 0 = -j - k*j + 336. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1\/61116895?\nAnswer: 1\/61116895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45821\/8030 + 5\/803. Calculate the common denominator of (-75)\/175 - (-1047)\/(-378)*-2 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acmcmcoccocoaamcmcca. What is prob of sequence mac?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + -0.11. Let g = -2 - -1.84. Let x = g - f. What is the nearest to 0.2 in -2, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6611\/6010)\/(5\/80*22)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2556.357 - -2555. Round l to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, -11, -68, -125?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -5, -4, -7 in descending order.\nAnswer: 3, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -147*p + 16. Suppose -3*w - 1 = -10. Let l be c(w). Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (523*t + 384*t**2 - 523*t)*(5 - 5 - 2*t) as i*t + b + v*t**3 + x*t**2 and give v.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 5*k + 5. Let u(m) = m**2. Let z(t) = n(t) - 4*u(t). Let i be z(-5). Suppose 3*o = i*s - 7, 3*o - 5*s = -o - 1. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 14*p**2 - 13*p - 9. Does 8 divide n(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -24323 (c) 0.3 (d) 299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 11. Solve -a*x + 12*x - 16 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266 - 104. What are the prime factors of ((-12)\/16)\/(2 - a\/(-184))?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 126 = -2*d, -5*d - 5*w = 84 - 394. Let x = 114 - d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h - 10*h - 21*h as l*h + o and give l.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1162 - 282 - 8664*n + 17334*n - 8671*n to the form i*n + o and give o.\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 301.\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195811500.\nAnswer: 2, 3, 5, 31, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 55*q + 1672. Calculate z(-59).\nAnswer: 1436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1540.7 and -3.\nAnswer: -4622.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 9:09 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 75531 - 75531 - 553*d as i + a*d and give a.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*c = -1 - 2, 4*j - 4 = 4*c. Suppose -p = p + 14. Let d be p*6*6\/(-63). Sort d, 8, j.\nAnswer: j, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 0.063?\nAnswer: 1.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-2))\/(((-384)\/(-16))\/12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117085 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 224 + 2176 = 14*k. Let p be 48\/(-40)*50\/(-4). Calculate the highest common divisor of p and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times -0.2\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(((-2)\/5)\/(56\/35)). Suppose -4*j + m + 24 = 4*h, 0 = 3*h + j - 16. Solve 0 = 8*r - h*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24344 + 24343 - 48687 - 37*l**2.\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2676*q - 1620*q - 1057*q = -283709 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9161363*l**2 + 3683*l + 187?\nAnswer: 18322726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -101*g**2\/2 - 60*g + 9. Differentiate w(z) wrt z.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*222\/74?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 770 - 761 - (30 - (1 - 0))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/(m**(-5\/3)\/m*m)*(m*m\/(m*((m**0\/m)\/m*m*m)\/m))**(-14\/5) assuming m is positive.\nAnswer: m**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -4*u, 14*g - u = 10*g - 4. Which is the closest to 0.1? (a) 3 (b) 7 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/134544302 and -16\/12001.\nAnswer: 1479987322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 104, 151, 228, 341, 496?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 59.69. Let q = -0.36 - h. Is 2 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 45 = 7*r. Let j(x) = 7*x - 2. Let z(u) be the third derivative of 5*u**4\/6 - u**3 + 3*u**2. What is r*j(g) - 6*z(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11916 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 j(a) = -2*a**3 + 9*a**2 + 1771*a - 8835. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:13 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -428\/9?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z - v = -8, 0 = -4*z + 5*v - 2. Suppose -26*s + 279 = 334 - 263. Which is the second smallest value? (a) s (b) 6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 5*a + 8. Let t(g) = 9 - 65*g + 0*g**2 - 3*g**2 + 71*g. Give -6*k(q) + 5*t(q).\nAnswer: -3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2046584*a + 4093164. What is w(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0 - 13)\/(-1) + -10 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {x: 1, y: 1, e: 1, h: 1, r: 1, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let n be g(-5). Suppose -n*v - 6*c - 460 = -c, 2*c - 398 = 4*v. Let h = -55 - v. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 7. Let n(l) = 3*l**2 + 4*l + 5. Is 20 a factor of n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-11) + (41\/(-2))\/((-1617)\/98)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -172, -1, 350, -15 in decreasing order.\nAnswer: 350, -1, -2, -15, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 14067*t - 393827\/4.\nAnswer: -(t - 56261)*(t - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8033027 milligrams?\nAnswer: 803.3027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 5*d**3 - 3*d**2 + 9*d.\nAnswer: -d*(d - 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52796 and 401464.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/12 + 44*a**5\/15 + 11*a**4 + 16*a**3\/3 - 52*a**2\/3 - 718. Find s such that k(s) = 0.\nAnswer: -26, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:08 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 - 11040*p**3 + 6306400*p**2 + 1809456000*p + 107452840000 = 0. Calculate p.\nAnswer: -110, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -25675727.6 to the nearest ten thousand.\nAnswer: -25680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-1)\/2*(-20)\/10). Suppose -3*z - o*p - 3 = -8, 0 = 5*z - p + 7. Which is bigger: z or 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 = r. Let j = -12 - -16. Suppose 0 = j*g - 5*f - 1, -3*f = 5*g - f - 26. What is the greatest common factor of r and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -295*c**3 + c**2 - c - 3. Calculate the remainder when m(-1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**8\/336 + b**5\/15 - 5*b**2\/2 + 11*b. Let d(c) be the first derivative of n(c). Find the third derivative of d(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 247 (b) 5 (c) -1\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/126 - 86\/387. Let v = -101.9 - -102. Which is the closest to v? (a) 5 (b) 3\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 1\/12*f**4 + 1 + 2\/3*f**3 - 25*f + f**2. Determine q(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.6. Let v be -3*(-1 + 11\/12). Sort v, -5\/4, h.\nAnswer: -5\/4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/27354 and -137\/87300.\nAnswer: 4103100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/210)\/((-2)\/12) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618 times -13346?\nAnswer: 21593828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r**3 + 14*r**3 + 5 + 0*r**3 + (0 - 2*r + 0)*(0*r**2 + 3*r**2 - 2*r**2).\nAnswer: 2*r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*t + 6. Let v = t + -20. Suppose -v = -u - 1. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1365346 and 12.7.\nAnswer: -1.73398942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1501 > -1630590\/1087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20492 + 16520 = 441*t + 19542 - 21338 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5 - 3. Let d be (6\/(-12))\/((-29)\/232). Solve -d*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02606 * 741.5\nAnswer: -19.32349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 5, 9, 13, 17?\n\"Answer: 4*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**9\/126 - 3*v**5\/20 - 3*v**2\/2 - 4. Let m(k) be the second derivative of i(k). What is the third derivative of m(a) wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.285 + 0.785. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13253\/8 + 1650. What is the common denominator of g and 5\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5331409 and 0.2.\nAnswer: 5331409.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 4. Let t(g) be the second derivative of -g + 1\/3*g**3 + 9\/2*g**2 + 0. Let k(o) = -3*t(o) + 5*u(o). Calculate k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(-2*y - 3*y + 4*y) + 1 + 3*y - 1 in the form z*y + j and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/120 - c**5\/60 + 2*c**4\/3 + 23*c**3\/3 + 91*c**2. Let h be r(-5). Calculate the highest common divisor of h and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 573\/2 - 296. Calculate the common denominator of (-37)\/(-6) - 3\/9 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*j + 760, 3*p - 5*j - 200 = 354. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 1 (c) -3\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17 - (11 - -17 - 16). Solve 0*p - p + 1 = b, 2*b + 33 = k*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + -1*((sqrt(288) + (-2*sqrt(288) + sqrt(288) - sqrt(288)))**2 + sqrt(288)) + -5.\nAnswer: -294 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 9, 27, 55, 93?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-200)\/15)\/(2\/(-15)). Suppose 0 = 5*x, 27 = o - 2*x + 7. Calculate the greatest common divisor of q and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95 in 2\/35, -1\/3, -2, -0.1?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.26 - 2.74. Let h = 1692139100.000000435 + -1692139104. Let f = z - h. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p + 2 + 7*p - 5*p - 126*p**2 + 127*p**2. Let c be g(-11). Solve -34 + 32 = c*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -26*t + 100. Is 1\/1230 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, 28 in decreasing order.\nAnswer: 28, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3279 + -1590. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x - 504 = 27*x. What is the greatest common factor of 567 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/24 - 5*a**3\/6 - a**2. Is 3 a factor of d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**7\/70 - b**4\/8 - 5*b**2\/2 + 9. Let g(z) be the second derivative of i(z). Find the second derivative of g(m) wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + h**4 - h**4)*(2*h - 2*h - 3*h + 70412 - 238*h - 70412 + (2 + 0 - 4)*(-2*h + 2 - 2)).\nAnswer: -237*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 4 - 2*m - 9 + m. Let z be g(10). Suppose -526 - 729 = -z*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599, 602, 605, 608, 611?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1434*-1190.\nAnswer: -1706460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 6, -1\/4, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - (-42 + 11)) + (8 - 15)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**2 + 1. Let b(j) = 4*j**2. What is x(b(t))?\nAnswer: 208*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9)**(22\/9) assuming m is positive.\nAnswer: m**(220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -22, -28, -34, -40, -46?\n\"Answer: -6*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = -4*l, 3*w + 16 = -5*l + 4*w. Let y be (l + 2)*1 + (7 - 2). Is (5 - (-704)\/y)\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 4:44 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.494197 to 1 decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*g, 0 = -3*w + w + 4*g - 2. Let q be -4*356\/(-96) - (-3)\/18. Is 4 a factor of (6\/6)\/(w\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(7))*-4 + (sqrt(14)\/sqrt(2)*4 + sqrt(7))**2.\nAnswer: -4*sqrt(7) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)**(2\/17)\/(p**(-6\/5)\/(p\/(p**(-1\/5)*p))) assuming p is positive.\nAnswer: p**(223\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*v**2 + 0*v**3 - 590*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.5 + -20.6. Which is the smallest value? (a) -1\/5 (b) l (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 3) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let v(t) = -2*t. Let l(n) = -7*b(n) - 6*v(n). Let f(u) = -8*u. Give f(l(r)).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -96. Let t = -7 + 48. Let a = t + g. What is the third smallest value in -1\/5, 0.02, a?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 2*x**7\/1785 - 19*x**6\/1020 + 7*x**5\/510 + 19*x**4\/204 - 3*x**3\/17 + 1506*x**2. Find y, given that z(y) = 0.\nAnswer: -1, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -861 (c) -5 (d) 3 (e) -0.1 (f) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 1\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 12. Suppose -j + 1 = 2*n + 2*j, 4 = 2*n + 2*j. What is the units digit of (g - 14\/n)*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 5*h - 898. Let b(y) = 155*y**2 - 110*y - 19750. Let l(d) = 2*b(d) - 45*c(d). Factor l(n).\nAnswer: -5*(n - 14)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**5\/8 + 93*r**4\/2 + 609*r**3\/8 - 93*r**2\/2 - 159*r\/2 = 0 for r.\nAnswer: -106\/9, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*x + 8*x + 4*x as q + c*x and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 637851103 to the power of 1\/3, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.9 from 6620311725.\nAnswer: 6620311720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 25 = -2*r, -5*r = 5*w - 52 + 77 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 49*l**3 - 392*l**2 + 21*l - 17. Calculate y(8).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*m - 29 = -214*m + 434*m + 384 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (123 - 12 - 6)*(2 + 3*c - 7*c + 2*c) as f*c + b and give b.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233838, 467683, 701528, 935373, 1169218?\nAnswer: 1403063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 4*s + s**2 + 2*s + 4. Determine y(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i - 12 = 0, 0 = 4*t - 5*i - 43. Let m = 61 + -29. Suppose -5*w + m = t. Solve -11 = -w*l + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*m**2 - 1815*m**2 + 65*m**2.\nAnswer: -1649*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -370210 at most as big as -370208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1780*p - 1840*p + 120 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let r be f(3). Let l be (-2)\/r*42\/4. Suppose 4*c = a + 14 + l, 3*c + 3*a = 12. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -24. Suppose -5*a + 3*a = 3*t - 150, -148 = -2*a - 4*t. Suppose 8 = -2*w + a. Calculate the remainder when w is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*i**2 + 2 - 108*i**2 - 2 - 10*i**2.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u**2 - 216*u + 492. Give t(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8979, 35903, 80775, 143595, 224363?\n\"Answer: 8974*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-5 - -4))\/(1\/1). Which is greater: l or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - 25 - (6 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9432 - 9432. Solve -c + 3*a = -17, 2*c = -a - 1 - m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 6110 = 4446. What is the remainder when b is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -19. Let r be -4 + (-291)\/((-9)\/v). Determine h so that -r*h**2 + 1 + 95*h**2 - 1 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 5. Let l(g) = -g + 2. Let w(m) = 3*h(m) - 7*l(m). Calculate w(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.64 and 28.55.\nAnswer: 18.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(8\/15)\/s**(9\/4))\/(((s\/s**(3\/4))\/(s**1\/s))\/s**(-1\/15)) assuming s is positive.\nAnswer: s**(-61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(105\/162) + (-8)\/28. Let u(v) = v + 11. Let m be u(x). Solve -g = n + 2, 0*n + 3*g = m*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7656 - -7600.288. What is h rounded to one decimal place?\nAnswer: -55.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-11 + 8 + -1) - (35 + -8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378931406.\nAnswer: 2, 7, 3866647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-32788\nAnswer: 2950.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/29)\/x)\/x*x**23*(x\/(x\/x**32))\/x**(-2\/9) assuming x is positive.\nAnswer: x**(13873\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.4, -0.1, 0, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + 26\/8. Suppose -1 = z + b. Put -1, 5, z in descending order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(10 - 10 - 6*k)*(k + 2 - 2).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 9. What is the tens digit of p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + 0. Let l = 6.6 + h. Let t = 40.2 - 39.7. Which is the nearest to 1\/4? (a) 3 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.38 and -4?\nAnswer: -69.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11*o - 21 = 0. Let k(s) = -2*s + 2. Give k(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2534, 10451, 23642, 42107?\n\"Answer: 2637*d**2 + 6*d - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/(-10) + ((-156)\/15 - -10). Solve -3*q + 2\/5 + g*q**2 - 21\/5*q**3 = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16736 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 4*f + 0*f)*(-4*f**3 + 2 - 2)*(2 + 2 - 2) to z*f**2 + r*f**4 + m*f + n*f**3 + p and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + 3 - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 9*m - 7*m. Suppose p - 6*p + 15 = 0. Let f be p\/m + 4\/(-12). Which is the second smallest value? (a) 2\/5 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1645, -349, 947, 2243?\nAnswer: 3539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {l: 2, z: 9}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1030\/60 - (-1)\/3)\/(495\/(-990))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87974987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31384 and 57.7.\nAnswer: -1810856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + p**3 - p**3)*(-1 + 1 + p + 1) + 0*p**4 + 2*p**4 - 5*p**4.\nAnswer: -6*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14330, -28667, -43024, -57413, -71846, -86335, -100892, -115529?\n\"Answer: -2*x**3 + 2*x**2 - 14329*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8*g - 1617 = 0. Let r = 111 + g. What is the remainder when r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3971185, -3971188, -3971191, -3971194, -3971197, -3971200?\nAnswer: -3971203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**6\/30 + 4*o**5\/15 + 7*o**4\/8 + 3*o**3\/2 - 3*o**2 + o. Let h(g) be the first derivative of t(g). Solve h(b) = 0 for b.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4278 is divided by 160.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:35 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1346.1 - 1345.71995. Let i = -0.38 + j. What is i rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1616 + -1613. Let v(c) = -c**2 + 5*c - 2. Let h be v(3). Suppose 5*u + 5*p - 31 = 39, -u + h = -p. Sort 0, m, u, 5.\nAnswer: 0, m, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 4, y: 6, m: 1, d: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.09 (b) 0.5 (c) 11.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10034 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + v + 178 + 362 - 63.\nAnswer: v + 561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7.2. Let j = 2\/71 - 148\/213. Which is the closest to 1? (a) j (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12*j + 24 = 0. Suppose -i + 2*m = -12 + 2, 2*i = -j*m - 12. Solve i*y - 16 = 5*h - 3, 0 = -3*h + 3*y - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f, -5*f + 10 = -3*t - 22. Suppose -5*m + g - 3*g - 9 = 0, 0 = 2*m - g. Let p be m\/t - 801\/4. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8797 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035235664 rounded to 7 decimal places?\nAnswer: 0.0000352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-10))\/((-2)\/(-6)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3954442513.\nAnswer: 7, 564920359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.14 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 543\/8 + -339\/5. Is m bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3 + 4 - 7 - 1. Let k(a) = -a + 4. Calculate 2*k(w) + 6*m(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 20 = 21. Suppose 3*m + 618 = 5*c, -3*c + b + 330 = -2*m. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-48) + 55\/(-150)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1384*n**3 + 8*n**2 - 4*n - 10. Let k(v) = -v**3 + 2*v**2 - v - 2. Give g(q) - 4*k(q).\nAnswer: 1388*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 10:07 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/110*250\/2300*-23.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19)\/57)\/(15\/9 - 0). Which is the second smallest value? (a) q (b) 1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**2 - 15. Let z(o) = 18*o. Let i(u) = -242*u. Let v(h) = -5*i(h) - 66*z(h). Calculate v(t(y)).\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 12*q**2 - 18*q - 13. Let c be p(-13). Suppose 59 = 3*x - c. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1523.998559 + -1524. Round b to 5 dps.\nAnswer: -0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -15554?\nAnswer: 15551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -5. Let u(c) = c**3 - 9*c**2 + 8*c + 3. Let p be u(q). What is the second derivative of p*s**2 + 2*s - 7*s**2 - 5*s + s**2 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:01 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389147.\nAnswer: 11, 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46623 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwwwmuwqqmrrumrqqmr. What is prob of picking 1 w and 1 r?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24340 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12656*v - 12135*v + 36470 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 581 + -581. Solve -2*a + 4*a + 4 = m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -8*x**4\/3 + 5*x**3\/3 + 33*x. Find the second derivative of b(q) wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 1\/12*d**4 + 3*d**2 + 0*d + 0 + 0*d**3. Let k(b) be the third derivative of b**5\/60 + b**2. Determine o(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:22 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -152*h**2. Let k(j) be the first derivative of 0*j**2 + 72 - 16\/3*j**3 + 0*j. Give 48*k(a) - 5*y(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1468 + -1467.8. Which is the fourth biggest value? (a) -0.3 (b) 12 (c) w (d) -5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41969\/3 - 13170. Let l = 802 - c. Calculate the common denominator of -43\/33 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432))**2*2 - (1 + (sqrt(432) - (sqrt(432) - (2 + sqrt(432)))**2)).\nAnswer: -12*sqrt(3) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/v**(-1\/9))\/v*v*v)*(v**1\/v)\/v)\/(v**0)**(-7\/9)*((((((v*(v*v**(1\/2)\/v)\/v)\/v)\/v*v)\/v*v*v*v)\/v*v)\/v**(-3\/4))**(-1\/14) assuming v is positive.\nAnswer: v**(-1649\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let b(h) be the third derivative of 3\/20*h**5 + 0*h + 0 + 0*h**4 - 3*h**2 + 0*h**3. Give t(b(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/18 and -25\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -92?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + -1 + sqrt(1700) + -1 + 4*(sqrt(1700) - ((sqrt(1700)*-2 - sqrt(1700)) + sqrt(1700))))**2 + -2 + -5 + 1.\nAnswer: -260*sqrt(17) + 287295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*y**3 - 6*y + 225*y**3 + 299*y**3 + 5*y - 188*y**3 to the form t + n*y**3 + w*y + s*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 + k - 5. What is the remainder when a(4) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.6 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 2*d)*(5 + 0 + 1 + (-1 + 7 - 2)*(3 - 5 + 4) - 1 + 0 + 0).\nAnswer: 52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + j)*(4*j - 2*j - 14*j).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = 13*f + 161. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -1)\/(4\/80). Let k = -8 + 48. What is the greatest common divisor of i and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 6:56 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, c: 5, s: 1, l: 1, w: 1}. What is prob of sequence swc?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132 in -1\/4, -118, 95\/8, -3, -1?\nAnswer: 95\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(13\/2)*w)\/w)\/w*w**(-13)\/w)\/(w**15\/w**(-28)) assuming w is positive.\nAnswer: w**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 44 + -55 + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1 + 3))\/(-3). Suppose 5*d - 2*d - 9 = x. Solve d = -j, 5*m + 2*j = -2*j + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -13.49343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m + m + 5*q, 4*q = 4*m + 24. Let k = 6.5 + -8.1. Let o = k + 2.1. What is the closest to -1 in m, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61955899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*p = 4864*p - 2139*p + 199099 - 23127 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 6*i**2 + i. Let t be c(2). Let g(s) be the first derivative of -5\/2*s**t - 3 + 6*s. Differentiate g(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 11. What is c(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -272279538 != -272279538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**2 + 0*v**3 + 17*v**2 + 38*v**4 + v**3 - 1 to p*v**2 + f + r*v + k*v**3 + z*v**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.5 - 134.5. Let b = 56 + y. Let r = b - -94.42. What is r rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/11025 and -53\/16625?\nAnswer: 1047375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(42)*-2)\/(5*sqrt(18)))\/((sqrt(48)\/sqrt(4) + sqrt(33)\/(sqrt(11)*-1))*-1).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - 418?\nAnswer: -3ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211111021 - -10012121?\nAnswer: -10201021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*k*y**3 - 416*y**3 wrt k.\nAnswer: -37*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -26\/11*a**2 + 2*a + 8\/11*a**3 - 4\/11 = 0. Calculate a.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3306, -3290, -3274?\n\"Answer: 16*w - 3322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from czccczcccczzzzzc?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*z**2 + 370*z**2 - 94*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12896 or -2\/5?\nAnswer: 12896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -18, -53, -106?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 852657919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r*s**3 + 32*r*s + 5196*r + 10*s**3 + 7*s**2 + 7*s + 5 wrt r?\nAnswer: s**3 + 32*s + 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(176) + 2)**2) - (-5 + -1 + (sqrt(11) - (sqrt(55)\/(sqrt(25)\/sqrt(5)))**2)).\nAnswer: -1093 - 97*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11*3)\/(-4 + 5). Let r = h - 20. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3289 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*w - 1 = -3, 4*w - 40 = -4*m. Suppose 50 = 2*y + 3*y. Suppose -m*x + y = -4*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48992 is divided by 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/34 - (-1 + (-365118)\/221)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - o + 1. Let v be i(-2). Let t be (3 - 2 - v)\/1. Solve -2 = t*x + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47346595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 57, -1, -6, 3, -5 in increasing order.\nAnswer: -10, -6, -5, -1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b + 712. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 + 0*o**5 + 9*o + 0*o**4 + 33\/2*o**2 + 0*o**3 + 1\/6*o**6. Differentiate c(w) with respect to w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012230 (base 4) in base 6?\nAnswer: 444352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z - 0*z. Solve -3*r - z*o + 7 = 0, 0 = -4*r + 3*o - 5*o + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 12 = -6*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -108 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 15, 10 = 5*f - 2*q. Let d(a) = -a**2 - a + 2. Let t be d(f). Let p be (-24)\/t + 4\/6. Solve 7*c = h + 3*c, -p*c = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665809072.\nAnswer: 2, 397, 577111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206456\/13 + -15881. What is the third biggest value in -0.03, q, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 2. Let b be f(4). Suppose 2*o + 5*w + 2 = -37, -b*o + 4*w = 12. Find the common denominator of 81\/20 and o\/(-16)*(-65)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 151, 145, 121, 73, -5, -119?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 9.9 (c) 1\/5 (d) 1\/6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 80698152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (24 - 13))\/((-1 + 6)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + -15 + 20\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -343124035 (base 6) to base 11\nAnswer: -361a726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -66. Suppose 0 = 8*s + 68 - n. Let k(q) = -q**3 - 6*q**2 - q + 3. Determine k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*z + 12, -2*k + 0*z = -z - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-4))\/(182\/(-728))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 298 + -1494\/5. Put u, 4, -3 in decreasing order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 340. Suppose 0 = -4*s + 3*r + x, r = -2*s - r + 46. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 139*w. Suppose 3*a = -5*c + 27, -3*a + 18 = 3*c - 3. Let u(p) = 9*p**2 + 11*p**2 + 2*p**2 + c*p**2 - 27*p**2. What is u(v(k))?\nAnswer: -38642*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5249 - -10355. Let y = 32727 - k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1366, 5453, 12260, 21787, 34034?\n\"Answer: 1360*u**2 + 7*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 3, d: 3}. What is prob of picking 1 e and 2 d?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {f: 3, z: 5, n: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 - 25 = -5*f, -2*f - 40 = -4*u. Let v be (-6)\/(-2)*8\/u. Put -2, -1, v, 3 in ascending order.\nAnswer: -2, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1.9, 0.2, -0.3 in descending order.\nAnswer: 4, 1.9, 0.2, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*m, 6*m = 8*m - 10. Solve -4*l + 6*q - 20 = q, 0 = l + q + x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593982 + 489?\nAnswer: -593493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 924?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1152*c + 17243. Determine o(-15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1301 and 310680\/239 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3572 = -9*s + 85*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2591 - 30*n**2 + 2591.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -719 divided by 719\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 54) + 2 + (-4 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:32 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -32. Suppose -1 = c, c = -b - c + q. Suppose -u - 2*n = -0*n - 4, 3*n = 4*u + b. Solve -t + 10 = 3*j, -2*j - 4*t - 7 + 17 = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335\/(-801)*138\/3*-9*6\/45?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1137731096 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let w(k) = 3*k - 1. Let f be w(1). What is the nearest to -1 in 0.3, f, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4505 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 89. Let g(q) = -q**2 - 2*q + 25. Let m be g(r). Solve -z + 5*s = -5*z + 4, z - 5*s = m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 4*j**4 - j**4 + (44 - 53 + 34)*(-3*j**4 + 3*j**4 + j**4).\nAnswer: 26*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*g + g + 54, g - 4*y = -51. Let i = 185 + g. What is the tens digit of 4\/(-2*(-5)\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96801*y - 234 - 754 = -96853*y for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(171)*1 - sqrt(171))\/(sqrt(9) + sqrt(441)*-2) - (-5 + ((sqrt(19) + sqrt(304))*4 - 5*(sqrt(171) + sqrt(19)))**2).\nAnswer: -3*sqrt(19)\/13 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 2 + 3)*(-13 + 4 - 2) - 3 + 4 - 4)*(-4*h**2 + 3*h + h**2 - 4*h) to the form f*h + o + b*h**2 and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddgddggdgggg. Give prob of sequence gdd.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/7*(-2)\/(-26). Let n = 2.3 + 0.7. What is the nearest to 0.1 in g, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*((-4 + 4 + 2*x**2)*(10 - 10 + 6*x) - 3 + 3 + 3*x**3).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 52.97. Let c = -0.63 - g. What is the closest to -2\/3 in 5, 2\/17, c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -279 and -12257.\nAnswer: -12536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137003695.\nAnswer: 5, 157, 174527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22824 - 22814. Solve a = -6*i + 11*i, v + i + 2 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 1016880.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/223 or 1?\nAnswer: 1\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24458268587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**3 + 0*g**2 + 0 - 3\/20*g**5 + 3*g + 1\/4*g**4. Factor c(s).\nAnswer: -3*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -125bb - -374?\nAnswer: -12247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 668 - 381?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2211, -1, -5, 3.\nAnswer: -2211, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2153974.7 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 342476258*t - 29322496823420641.\nAnswer: -(t - 171238129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (25 + -99 - (19 + -48)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*z**2 - 19*z**2 - 137*z**2.\nAnswer: -215*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 2*k - 9*p, 0 = 4*k - 3*p + 2. Let w(q) = -4*q**3 - 2*q**2 - 2*q. Let l(u) = 5*u**3 + 3*u**2 + 3*u. What is k*l(a) - 3*w(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -120. Let b be v\/(-6)*(-3)\/2. Sort b, 4, 3 in decreasing order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 5. Suppose 0 = 6*v - 2*v - p - 22, -s = -3*v + 5*p. Find the common denominator of (-3 + 309\/v)\/8 and 77\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 780 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*l - 211*l = 87546. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185391326 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r)*(95*r + 76209*r**3 + 91*r - 84*r - 102*r).\nAnswer: -76209*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21038*b**3 - 3*b**2 + 10519*b**3 + 10517*b**3 + 311 to v*b + w*b**2 + n + p*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426 + -407. What is the nearest to -0.1 in g, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-308)\/33 + (-2)\/(-6). Let k(z) = z + 12. Calculate k(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/6 + (-9)\/27. Suppose 0 = -o + 4 + d. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3585*s**2 + 3693*s**2 + 3573*s**2 - 3 + 3 - 10862*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -50*i**3 + i**2 - 1. Let m be a(-1). Let b be (m\/15)\/((-4)\/6). Let g = 2 - b. What is the highest common factor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14890, -21156, -27422?\nAnswer: -33688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nna when three letters picked without replacement from hxcxxgacncnccccccc?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:36 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6616*m**3 - 3265*m**3 - 3843*m**3.\nAnswer: -13724*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -482*o - 2520. Determine r(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8971 + 9065. Solve -24 = -5*c + j, c + 4*j + 106 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - 2*z - z)*(-2 - 2 + 2) - 2*z - 3*z + 4*z + 1 + 2 - 2*z - 2 + 2*z - 4 + 4 + (1 - 2*z - 1)*(51 + 131 + 4) to the form x + f*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3120*r + 1 - 4 + 3 - 3117*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-50)*(-410)\/(-164).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148671122 is divided by 525?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggghhggg. Give prob of sequence hghg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3 - 1. Let d(h) = -1. Let y(k) = k + 2. Let q(f) = u*d(f) - y(f). Let c(v) = 5*v. Give c(q(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = 26. Calculate the common denominator of (d - -81)*(2\/(-4))\/(-1) and 33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -48, -4, 1, -5 in descending order.\nAnswer: 3, 1, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -1\/3, -1, -434642?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -7\/3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/2, -2\/17, -23\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Let l(m) = 40*m**3 - 8*m**2 + 8. Let k(f) = -13*f**3 + 3*f**2 - 3. Let q(u) = d*l(u) + 11*k(u). Does 17 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*t + 60*t**4 - 2*t - 62*t**4 + (-2*t + 2*t + 2*t)*(-4*t**3 + 2*t**3 + 0*t**3).\nAnswer: -6*t**4 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pululnhlphwlpphuhp. What is prob of sequence hnwp?\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231125252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (-2 + 3). Let i(s) = -20*s - 4. Let t be i(7). Let w = 149 + t. Which is the second smallest value? (a) -4 (b) 1\/8 (c) w (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 20 = -5*f, 2*f - 152 = -5*d - 175 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000228497 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 9*v - 57*v. Let n = -11.74 + 12. Does n = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5796*b**6 + 28564*b**2 wrt b?\nAnswer: 695520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 53. Suppose -s = q*l + 3, -5*s - 6 - 9 = 0. What is the nearest to 1\/5 in -1\/4, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5136 - 1727249?\nAnswer: -1727250.5136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -564 - -577. Suppose 0*u + u = -1. Let m be 1 - (0 + u) - -3. Solve j = 3*j + m*d + 3, q = -2*j + 5*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:09 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 131\/2922628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20074230 divided by -4014846.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40486499*l**6 + 9337*l**2 - 1155.\nAnswer: -4858379880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 127*r**3 + r**2. Let a(s) = -s**2 - 11*s - 11. Let f be a(-10). Let n be o(f). What is the tens digit of 0 + (4 - n) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 26) + 21 + 4 + -39?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32381238 and 45712.\nAnswer: 5714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i + 5. Let c be -6 - -4 - (2 - -38). Let x be (-2)\/i + 50\/c. Is 0 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271.722 + -268.7. Let z = 810.022 - 810. Let b = j - z. Put b, -0.4, -3 in decreasing order.\nAnswer: b, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from rjrrrjrjjr?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 134.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -55363043 - 267.9?\nAnswer: -55363310.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 386445 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (17 + 73)) + 18?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2 + 6355951*g - 12711898*g + 6355945*g. Let w(d) = -7*d + 7. Let i(h) = 8*h - 8. Let c(l) = 6*i(l) + 7*w(l). Calculate 3*c(f) - t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f + 3 + 8*f + 15*f. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7759.9975 + -7744. Let z = 16 - g. What is z rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5235252 (base 7) in base 14?\nAnswer: -125cd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 3 + 3)*(5*l**2 - 9*l**2 - 4*l**2)*(-l**2 + 0*l**2 - 6*l**2).\nAnswer: -1232*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(11253\/62))\/(-3)*12.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 + 23 = 0. Let g be 59 + -1 - 0\/(-2). Let u = g - 18. What is the remainder when u is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 15*p - 45. Calculate the least common multiple of t(-19) and 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a29197 (base 11) to base 12\nAnswer: -1191287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8474580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*h**4 - 2)*(-61 - 23 + 6) + 0*h**4 - h**4 - 2*h**4 to a*h + i*h**3 + u + c*h**2 + g*h**4 and give g.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = 20484 - 21198 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00339297 + -0.0034. Round c to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 6*b + 4*b + 11*b to t*b + l and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25360 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*i - 180 = -140, 4*y - 3*i = 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 1414639\nAnswer: 30\/1414639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63640, -63786, -63932?\n\"Answer: -146*y - 63494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-64) + (-280)\/1664\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113410002 (base 5) in base 9?\nAnswer: 4602441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbggrbbrrggbgggrg. What is prob of sequence gg?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and 71\/400.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 450 + -449.8. Which is the second smallest value? (a) -0.3 (b) -10 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(612) - (-1*sqrt(612) + -5 + sqrt(612)) - ((sqrt(612) - ((-1 + sqrt(612))*2 + sqrt(612))) + sqrt(612)))*3 + 0)**2.\nAnswer: -995085 - 29160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1142258?\nAnswer: 1142255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.043 + -0.143. Let n = -3 - -9. Let d = n - s. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -458\/211, -4, -2\/5, -4\/7 in descending order.\nAnswer: 4, -2\/5, -4\/7, -458\/211, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -329a7 - 1?\nAnswer: -329a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -274*f**2 - 775*f + 6. Let o(r) = -3*r**2 - r - 1. Let w(z) = 6*o(z) + q(z). Find the second derivative of w(l) wrt l.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 9*n**2 - 9*n - 6. Let v be j(-8). Suppose -2*x + 3*x = t, -2*t - v*x = -12. What is the highest common divisor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30752*o = 30748*o + 2*v + 22, -3*o - v + 19 = -2*v for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -0.3 (c) -2\/11 (d) 1 (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13546*o = 13589*o - 86 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 less than -0.16441768?\nAnswer: 127.83558232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 646 - 558 + 677 = 0. Let u(m) = 2*m**2 + m - 8. Let h be u(-7). Let q = -128 + h. Is q greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -308, -0.5, -12, 19, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132 is divided by 459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 15) in base 4?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**27*d)*d**(-4\/5)\/d*d*d**(31\/5)*d**(-42)\/d assuming d is positive.\nAnswer: d**(-323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 463545 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -141876460 divided by 70938230\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140476 + 140549.501. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 12*u + 3. Let c(m) = m**2 - 12*m - 4. Suppose -9 = -4*z + 3. Let v(a) = z*c(a) + 2*n(a). Is v(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*s + 346, -5 = -3*t - 17. Let w = s - 117. What is the common denominator of 2 + -2 - (-80)\/w and -17\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.721 - -30.271. Let t = c - -0.65. Let s = 30 - t. Which is smaller: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -0.1 (c) 2\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24276\/(-442) - -55) + -4 + (-13772)\/(-3484)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10074 + 10078. Let u = 1 + -4. What is the closest to q in 1\/7, u, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1339540*k**2*z**2 + 23*k**2*z - k*z**2 - 3*k*z - k - 48 wrt z.\nAnswer: 2679080*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 224865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -37, -39?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*m + 74*m + c - 31, -5*c + 95 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0895405 less than -14?\nAnswer: -14.0895405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*x + 7, -18 = t - 4*x. Let g be 15\/(-5) + (-28)\/(-4)*1. What is the second derivative of -9*d**g + t*d**4 - 2*d + d wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 15*n**3 - 8*n**2 + 84*n = 0. What is n?\nAnswer: -14, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279117141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100556 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c**2 - 88425*c + 88425*c.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56707651\/16 + -3541337. Let o(c) = 481*c - 2. Let g be o(-6). Let j = m + g. Calculate the common denominator of j and 17\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 - 44*m - 82. Calculate o(-14).\nAnswer: -838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374409 is divided by 373959?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070760190?\nAnswer: 2, 5, 103, 149, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 + (3 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 23*f**2 - 2558*f**3 + 105*f**3 + 14 - 13*f**2.\nAnswer: -2453*f**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*sqrt(2448) + sqrt(2448)) + (sqrt(2448) - ((sqrt(2448) + -4)*4)**2) - ((-1 + -4 + sqrt(2448))**2 + 4*(1 + sqrt(2448))).\nAnswer: -41901 + 1596*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 255809 = 158*x - 187395. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.208 times -61\nAnswer: 12.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 2*l = -41*l + 1419928. List the prime factors of l.\nAnswer: 2, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 34, 46, 56, 64?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7514, -15049, -22520, -29933, -37294, -44609, -51884, -59125?\n\"Answer: -d**3 + 38*d**2 - 7642*d + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*m + 92, 5*q - 10 - 36 = -2*m. Let o(t) = 19 - t - 34 + m. Let v be o(8). Let r(z) = -z**2 - z + 3. Calculate r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*a**(-12))\/a)\/a)*a)\/a)\/(a**(3\/2)*a)*(a**(-2\/63)*a)**(1\/6) assuming a is positive.\nAnswer: a**(2204\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggjjggggggjjjgg. Give prob of picking 4 g.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 2. Let r(g) = -154*g + 18. Give 10*l(t) - r(t).\nAnswer: 144*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 14*n + 96 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518597597?\nAnswer: 3, 11, 46018109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/(-18))\/1*(-113199)\/(-778)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 3*x**2 - 4*x + 3. Let c be i(4). Calculate the common denominator of c - (-4)\/((-320)\/402) and (-28)\/80 - (-3)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)\/(-8 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o - 23. Let q be y(9). Let n = 7 + q. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0258 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 + 2 = 0. Let n be l - ((-70)\/(-18))\/5. What is the nearest to 0.1 in n, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13138457*a - 14*a**2 + 26276924*a - 13138464*a.\nAnswer: -14*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1121, -2332, -3543, -4754, -5965?\n\"Answer: -1211*a + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 35*o - 62. Calculate the least common multiple of 559 and n(9).\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -13 + -53 + 78?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h**3 + 19*h**3 - 34*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48573055 to 2 decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 8. Suppose 2*j - 100 = 4*u + 34, 5*u = q*j - 168. Let c be (-2)\/8 + u\/(-8). Solve -x + 0*x = c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 m when three letters picked without replacement from sstcdmxc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32583 - 7428853\/228. Find the common denominator of t and 27\/20.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrrrgg. Give prob of sequence rggr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 7.\nAnswer: 313\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -5) + (-4 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/((-1)\/6). Suppose g = o*g. Suppose g = 5*s + f - 96, 2*f + f + 12 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 8:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 116. Let i = 179 + -153. Let f be j(i). Solve 0*u = 5*u + 5*k + 10, -f = -5*u + 3*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89030 divided by 174?\nAnswer: -1535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21248543 divided by -21248543?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 - 10*s**2 - 12 - 12*s wrt s.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 1369 = -51*p + 2117. Solve -78*k - 73 = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105.98704 + -0.18296. Let u = 107 + q. Let d = u - 0.23. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o**2 + 5*o - 2 - 13*o + 0*o + 6*o as b + q*o + a*o**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 969449956 rounded to the nearest 100000?\nAnswer: 969400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070734, -1070671, -1070608?\nAnswer: -1070545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, 0.01199, 5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6096303 + -6096307. Let v be -3 - -2 - (-333)\/(-10). Let z = 67\/2 + v. Which is the closest to -0.3? (a) z (b) n (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1ec61?\nAnswer: -1ec5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 5*q**2 - q - 4. Let v be o(-5). Let t(r) = r**2 + 24. Calculate the remainder when (284\/16)\/(v\/4) is divided by t(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38261.8822 rounded to 0 dps?\nAnswer: 38262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 3*s - 97.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**3 - 4407*p**2 + 241488*p + 183600.\nAnswer: 3*(p - 300)*(p - 68)*(4*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -f + 16, 0 = -f + 3*j + 4. Solve -14*g - f = -6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 203 + 21 = 0. Let y be (-3)\/(-4) - 90\/w. Which is the second smallest value? (a) y (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uab when three letters picked without replacement from {u: 2, b: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.096 and -24920.\nAnswer: -2392.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 454428 and 811756?\nAnswer: 94975452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10466190 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1392 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14215 times 1.9\nAnswer: -27008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -360 (b) -0.5 (c) -7 (d) -0.3 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 4*z - z - 4*z + 3*z + 0*z + (3 - 2 - 3)*(-5 + 5 + 2*z) - z + 6*z - 3*z - 2 - 3*z + 2 - 1 - 2*z + 3 - 3.\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-29 - -59 - -2 - (-7 + -12))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2026905603, 2026905601, 2026905599, 2026905597?\nAnswer: 2026905595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 1, i: 2, w: 1, z: 1, m: 6}. Give prob of picking 1 z and 1 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b + 27\/5 - 3\/5*b**3 + 21\/5*b**2.\nAnswer: -3*(b - 3)**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - -1) + 4 - -283 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2620544 is divided by 187181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 591090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t\/t**5)\/(t*t**(-21)\/t*t*t*t*t*t**(-3)) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h*h**(-1\/8))**47*((h\/h**0)**(4\/9))**9 assuming h is positive.\nAnswer: h**(1489\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:40 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958581, 1917165, 2875749, 3834333?\nAnswer: 4792917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.19 + 0.51. Let v = 2.993 - 4.6985. Let l = t + v. Round l to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, 4, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 265*q + 260.\nAnswer: 5*(q + 1)*(q + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6851*p*r**2 + p*r + 21891074*p + 185*r wrt r.\nAnswer: -13702*p*r + p + 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 89, 97, 103?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3883 and 12213094.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wzwwwzwzwwwwzwwwwwwz.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 368263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -19. Let r(h) = h**3 - 4*h**2 - 3*h. Let j be r(5). Let k(q) = -q + 14. Let p be k(j). What is the highest common divisor of p and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:52 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 7*o - 7. What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1933 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 11 = -9*a + 11*a, 0 = -4*a + 2*g + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 + 3. Solve -2*o - 8 = -l*f, 4*o = -o + f - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4870 divided by 5?\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 37*c + 16*c.\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 804649, 1609256, 2413863, 3218470?\nAnswer: 4023077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.074 and -4.\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 36. Let x(o) = -o**2 + 14*o + 90. Calculate the remainder when x(18) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, h: 1, e: 2, q: 1}. Give prob of sequence eoqh.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 5:35 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-1)\/6*0. Solve u + 2 + 0 = w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9949 divided by 67.\nAnswer: -9949\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 6*w = -7. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(800) - sqrt(224)\/(sqrt(28)\/sqrt(4))) + 0 + -4.\nAnswer: -4 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034918 rounded to seven decimal places?\nAnswer: -0.0000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -36*x + 160. Let r be c(4). Calculate the highest common divisor of 536 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 5389?\nAnswer: -7544.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 9*v**2 - 11*v - 7. Let q(n) = n**2 + n + 1. Let f(l) = -j(l) - 4*q(l). What is the units digit of f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302 and 1661.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*o = -18, -o + 0*o + 26 = -3*l. Let m = 14 - l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242 * 0.4\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 140*p - 220. Let b(x) = 47*x - 73. Let h(y) = -10*b(y) + 3*j(y). Differentiate h(n) with respect to n.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {q: 1, l: 1, i: 2, w: 14, u: 2}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1332?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by 20\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6884 is divided by 184.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonzllnlzlnlll. What is prob of picking 1 z, 2 n, and 1 l?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14536\/(-276) - -53)\/(((-111)\/2)\/(-3)).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -848731, -1697451, -2546171, -3394891, -4243611?\nAnswer: -5092331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 9:08 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 10) to base 3\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 3:14 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1 (c) -0.2 (d) 6\/91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 50. Let m(o) = -9*o - 151. Let n(i) = -2*m(i) - 14*v(i). Give n(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 14edc18?\nAnswer: -14edc1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 165 - 349 + 152. Put 2, 251, x in increasing order.\nAnswer: x, 2, 251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 347820 and 51.\nAnswer: 347820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218 a factor of 15244488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2217917*c - 696516.\nAnswer: -2217917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -t + 558 + 110, 3*t - 2015 = -4*c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 + 55 = 5*j. Let m = -31 + j. What are the prime factors of m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 5*n + 50. Let b be f(-5). Solve 2*t = -4*k - 14, 4*k + b*k + 16 = -4*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2481 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 5644\/136 - (-3)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29799 is divided by 432.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820224889.\nAnswer: 11, 19, 773, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36190 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 4) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/30 + 19*q**4\/8 - 5*q**3 + 208*q**2. Calculate the remainder when g(27) is divided by 4\/(-14) + 200\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3431 (base 5) to base 12\nAnswer: -34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. What is v(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f + 6. Let k be (((-80)\/(-25))\/4)\/((-4)\/30). Let q(c) be the third derivative of -c**4\/4 + 5*c**3\/6 - 2*c**2. Determine k*q(m) + 5*z(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*m + 450*m - 254*m + 66*m**3.\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*r - 18 = -27, -6 = 16*p - 2*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35628287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 384120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*r - 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/(27\/(-120)). Let o(q) = q**2 - 4*q - 3. Let m be o(4). Let h be m\/(-18)*-3 - (0 - 1). Put -0.1, h, d in increasing order.\nAnswer: -0.1, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 18. Suppose -g = -2*m - 3, -2*g = -3*m - 3*g + 8. Suppose 0 = 2*x + m - 3. What is the smallest common multiple of y and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1)\/1 + -462 + 2782.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(2\/27)\/a))\/a*a)\/a**(-7))\/(a*a\/(a*a**(-6))*a**(-1\/2)\/a*a) assuming a is positive.\nAnswer: a**(185\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200220102 - -20101?\nAnswer: 201010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -415\/84 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dao when three letters picked without replacement from ojjeajjaojeadoiiedi.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3120*b**3 - 1563*b**3 - 1560*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 4*y - 4. Let p(w) = 10 - 15*w + 5 + 8*w**2 - 28*w**2. Let o(q) = -4*p(q) - 15*t(q). What is the units digit of o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (11 - (7 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1905 (base 15) to base 3\nAnswer: -21102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 + 6*p**3 + 6*p**2 - 4*p = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -2.3.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244244379*n**3 + 336957999?\nAnswer: -732733137*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 119 = 15. Let u = z + 25. Does 30 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -53. Let l = c + 46. Let h = 36 + -34. Solve -o = h*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 297.7\nAnswer: -119.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1331356 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2303 + 3?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2090 and 11\/5.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.4 - 1.02. Let p = j - 0.4. Let w = p + 3.02. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/27 and (-1)\/(-75)*1886\/(-69).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 3 + 3 + 5*y**2 - 6. Let a be o(-1). Suppose -2*i - f = 2*f + 2000012, 1000016 = -i - a*f. What is i rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 187*s - 9562. Give a(229).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a week in hours?\nAnswer: 2982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 + 48 - 10*d**2 + d - d**2 + 5*d**2 to the form q*d + z + c*d**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/(8\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/5 + (-8)\/20. Let y = m + 24. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4256 and 159071648?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -1782, -4017, -7154, -11199, -16158, -22037?\nAnswer: -28842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 19\/12*u**4 - 16 + 2*u + 0*u**2 + 1\/6*u**3. What is z(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14580 - -3?\nAnswer: -14576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let z = 183\/5 + -36. Let w = -18 + 92\/5. What is the second smallest value in z, w, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/21032800 and 37\/1500?\nAnswer: 315492000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2 - 3, 20 = y - 5*x. Let s be (-6)\/y - (-72)\/80. Sort s, 6\/11, -0.5 in ascending order.\nAnswer: -0.5, s, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524527720 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:40 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245190 or 245154?\nAnswer: 245154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4628, 9219, 13810?\nAnswer: 18401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1077 and -3479?\nAnswer: 3746883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 16*w + 46*w + 365 - 15*w + 159.\nAnswer: -w + 524","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 + 16)*2\/(-21). Is d <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-12))\/((-34)\/612*(-6)\/13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -v + 307. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.9111ml to litres.\nAnswer: 0.5389111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*-2*(-3)\/(-18). Solve -f*t - 1 = -7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 21. Suppose -3*k = 3, c*o - 5*k = o. Suppose 828 = 9*w + 792. Solve -4*i = o*g, -17 = -w*g + g + i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o. Let r(q) = 3*q + 13. Determine j(r(h)).\nAnswer: -9*h - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -1, -0.5, 2\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 3*x)*(-2*x**2 - x + x) + 4089 - 99*x**3 - 4089.\nAnswer: -95*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 22*f**2 + 29*f + 279. What is the remainder when d(-21) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24746 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 39425, 4, -4, 5 in decreasing order.\nAnswer: 39425, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2*z + z + (-1 + 1 - z)*(0 - 1 + 2) - 2*z + 0 + 0 + 0*z - 2*z + 0*z - 6*z - z + 2*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Suppose 4*u - 8 = -c, -5*u - 5*c = -n*u + 14. Let b(k) = -k**2 - k + 1. Let y be b(-3). Sort 4, u, y in descending order.\nAnswer: 4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -192, 2\/1879, 3\/5?\nAnswer: 2\/1879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 15. Let m(o) = 3*o - 14. Give -5*m(f) - 4*n(f).\nAnswer: f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-56) + (-2 + 0 - -3)\/(-1). What is the second smallest value in p, 3, 3.431?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19478371 by -73.\nAnswer: -266827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 18*p - 5*j - 71 = -13*p, -j + 5 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -530\/150969 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344985*d**5 - 8*d**4 + 2*d**2 - d - 59896447 wrt d?\nAnswer: -6899700*d**3 - 96*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 477, 6, -4, 9 in decreasing order.\nAnswer: 477, 9, 6, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 1276 = 5*o - 13*z, 0 = -3*o - 2*z + 758. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**3*y**2 + 2*b**3*y + 2*b**2*y + 2*b*y**2 - 8*b wrt y.\nAnswer: 12*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295 + -180. Let s = f - 114. Is s at least 138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113 = -43*j + 640 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 13 = -5*p + 1, 0 = -2*p + 3*o + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -13071533.\nAnswer: 13071533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 89907480?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5241?\nAnswer: 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 7*c**2 - 5*c. Let y be z(-5). Suppose 8*p = 3*p + y. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321502205051 + 0?\nAnswer: -321502205051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4928442 decades to millennia.\nAnswer: 0.004928442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6756, 27, 5 in increasing order.\nAnswer: -6756, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*t - t**3 + 2 - 72*t - 2*t**3 - 17*t**4 wrt t.\nAnswer: -204*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 1154310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 200*g = 687787 - 7216759. Which is greater: -35103 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 22*w. Let v(m) be the first derivative of -4*m**2 - 22. Give v(n(o)).\nAnswer: -176*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 70 = -14*f - 24. Put f, -24, 4 in decreasing order.\nAnswer: 4, f, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5233, 5234, 5235, 5236, 5237?\nAnswer: 5238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 30850666?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -957681043?\nAnswer: -957681041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 252207850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:45 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 255*g**2 + 114*g**2.\nAnswer: 369*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/823 + -58373\/16460. Let t = 249541\/94770 - -2\/9477. Find the common denominator of t and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205\/8 - -51\/2. Let l = -1.2 + 0.2. Let z = 0 + l. What is the closest to -2\/5 in z, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497266 smaller than 497244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2. Let q(n) be the third derivative of n**5\/60 - n**2. Determine f(q(b)).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5 + 82*a**4 + 1038*a**3 + 4118*a**2 - 1040*a - 4200 = 0.\nAnswer: -21, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -14 + -3 - (14 + -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 3*g + 0*g)*(0 + 3 - 2) - 132*g + 10*g + 6*g as h + z*g and give z.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8195 - 6411. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 57 - 6*c - 359.\nAnswer: c - 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1631205 (base 7) to base 6.\nAnswer: 4502540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**5 - 5\/6*u**4 + 0*u**2 - 2*u + 0*u**6 + 0 + 0*u**3 + 1\/42*u**7. Find the third derivative of k(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r. Let m(b) = -182*b - 55. Let y(l) = 12921*l + 3894. Let t(u) = -354*m(u) - 5*y(u). Calculate t(o(k)).\nAnswer: 885*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10647 divided by 3\nAnswer: -3549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*j - 25 = 0, 85 = 1376*w - 2754*w + 1381*w - 7*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.027, -1\/82, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g - 8*g)*(1 + 3 - 3)*(2 - 1 - 2)*(-3 - 1 + 0) + g + 2*g - 6*g + (4 - 1 - 5)*(-1 + 1 - 2*g).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1146 - 111*l**3 - 1146 + (14 - l**3 - 14)*(1 - 1 - 3) to s*l**3 + m + r*l**2 + n*l and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000021021 + -120?\nAnswer: -1000021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 + 452*h**2 + 3078*h + 2628 = 0. What is h?\nAnswer: -219, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t - 215*t + 25885 = 0. Solve -t*w = -172*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 - 70. Suppose -4*b + 11 + a = -2*j, -2*b = 2*j + 96. Let n = 13 - j. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*a**5 + 190*a**4 + 510*a**3 + 80*a**2 - 525*a - 270 = 0. What is a?\nAnswer: -9, -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*o - 12, 31 = 4*p - 3*o + 17. Suppose -p*h - 2 = -10. Solve -h*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11797 - -11799. Solve -6*d + 3*d - 3*w = -12, 3*d - 11 = -j*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 184*t**2 + 2*t - 3. Let l(s) = 6*s**3 + 553*s**2 + 6*s - 8. Determine 3*l(f) - 8*x(f).\nAnswer: 2*f**3 + 187*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0, 2, -201 in decreasing order.\nAnswer: 2, 0.11, 0, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -47*i - 326. What is t(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -55, -73, -85, -91, -91, -85?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -4 - (-9 + -65 - -169)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 218*o + 2184. What is v(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 447656753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m + 37. Let t be (-6)\/(-10)*(14 + -4). Let c be d(t). Let u(g) = -g + 1. Give u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 213*h + 215. Let z be v(1). Solve -4*g - z*c = -9*c + 12, 0 = 4*g - 5*c + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*p + 1, 99*l - 98*l - 3*p = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1006? (a) -22\/75 (b) 0 (c) -3\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*o**4 + 52*o**3 - 66*o**2 + 3*o - 17?\nAnswer: -3336*o + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p + 135*p + 16695 = -260*p - 186*p for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(2\/51)*m*m*m*m)\/m))**(-2\/15) assuming m is positive.\nAnswer: m**(208\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008245981238 to 6 decimal places.\nAnswer: 0.000825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 - 11131?\nAnswer: -11079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y**2 + 3*y**2)*(-y - 5 + y**3 + 1160*y**2 + 1 - 1158*y**2).\nAnswer: -y**5 - 2*y**4 + y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + (-36)\/12 - -239004 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 13*s**2 + 14*s + 9. What are the prime factors of r(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 3*h**4 - h**4 + 13*h)*(-h - 3*h + 2*h).\nAnswer: 4*h**5 - 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 5*k. Let n(i) = i**2. What is -2*n(z) + t(z)?\nAnswer: z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.024624um to kilometers.\nAnswer: 0.000000002024624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 g when three letters picked without replacement from gggcq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 230.1 and 1.83.\nAnswer: 231.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1209, -3, -1.7, 3, 2\/11, 5.\nAnswer: -1209, -3, -1.7, 2\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 737 = 710. Let x(k) = 20*k. Let j(q) = 21*q - 1. Determine b*x(m) + 2*j(m).\nAnswer: -18*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + 30 - (-1 + 9)) + (0 - -16) + -78?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-280))\/((-48)\/(-56))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -12. Suppose 0 = 2*g + 15 - a. Calculate the remainder when g is divided by 1785\/170 - (-7)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 123 + (6 - -36) + 33.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.115 + -80.115. Let o = i + 80.0157. Round o to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95883552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 618 - 563. What is the remainder when 384 is divided by b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 290 + -212. Let x = h + -75. Let t(s) = 3*s - 1 - 2 + 4. Give t(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 not equal to 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -681543 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = 3*u, 0*l = -4*u - 4*l + 12. What is the common denominator of 2\/(80\/148) - 2 and u\/18*(-1 - 33)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {b: 4, u: 1, n: 3, w: 5, p: 4, v: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*t - 3*v, 3*t + 3 = -2*v. Let o = 1 - t. Suppose 0*u = -u + 1. Are o and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253041877.\nAnswer: 11, 137, 167911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaacacaccc. Give prob of sequence ac.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 364616*s**2\/5 - 1093839*s\/5.\nAnswer: -s*(s + 3)*(s + 364613)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + v + 81, 35 = 3*j - 4*v - 42. Let c = 59681\/12 - 4967. Calculate the common denominator of c and (12\/(-120))\/(1\/(-5))*j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.22.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2\/3 - 5*z - 4\/3 = 0. What is z?\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lnnlqlllq?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 5*f. Let d be u(5). Suppose d*l = 2*l - 4. Suppose -3*p = -w + 2, 0 = -l*w - 2*p + 2 + 2. Solve t - 1 = w*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -58, -59, -60?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324)*3*-4*4)\/(sqrt(144)*2*5 - (sqrt(144) - (sqrt(144) + ((sqrt(144) - (sqrt(144) - (sqrt(144) - sqrt(144)*2 - sqrt(144))))*2 - sqrt(144))))).\nAnswer: -88*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 87*a. Let f(o) = -4*o. Calculate g(f(w)).\nAnswer: -348*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 1511429\nAnswer: 21160006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 57*i**2 - 5*i + 57*i**2 + 98 + 25*i + 2 - 113*i**2. Calculate z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-60) - (-68)\/70. Which is the nearest to r? (a) 1 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:01 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeneen.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*t + 3 - 7*t - 7*t)*(16*t**3 + 15*t**3 + 16*t**3).\nAnswer: 47*t**4 + 141*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4027 - -4041. Calculate the remainder when (-218)\/(-4) - (-1)\/(-2) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(65)*-2 - sqrt(65)))\/(sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(5)*2)*-3).\nAnswer: 18*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 106950593*c\/3 - 71300395\/2.\nAnswer: -(c + 1)*(c + 213901185)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 521307*k**2 - 3 + 521231*k**2.\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -44, -42, -24, 16?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**2 + 3*c - 3. Let t be f(1). Solve 2*y - t = q + 4*q, -7 = -y + 3*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 121051232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3 + 82 + 66 - 15*r - 29. What is the units digit of z(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 276\/(-10)*1\/2. Let g = q - -66\/5. What is the closest to g in 3\/4, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s + 7 = 3*k, -5*s = 4*k - 30. Calculate the greatest common factor of 94 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26766049, -53532100, -80298151?\n\"Answer: -26766051*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -126*p - 11765. Calculate h(-98).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 62*j - 61. Let f be b(30). Is 2\/251 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 3.274.\nAnswer: -3.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxzx. Give prob of sequence zx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 83?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 4, -87 in increasing order.\nAnswer: -87, -13, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 73*-3*(-2)\/6. Suppose -3*f - c + 232 = 0, f - 4*c = o - 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -194*u + 11*u + 1576362. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/630 - v**6\/180 - v**5\/45 + v**4\/36 + v**3\/6 - 18*v**2. Factor m(d).\nAnswer: (d - 3)*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) - (-4 + 2). Let p = 0.009 + -0.309. Let g = -0.0974 + 0.4974. Which is the closest to -2? (a) p (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 40) + -1 + 5 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.085 + -4.1. Let l = -0.95 + 3.95. Let f = l - s. What is f rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -108. Which is greater: i or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 19\/40480.\nAnswer: 40480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let n(z) = -297*z**2 + 79*z**2 + 123*z**2. What is d(n(p))?\nAnswer: -95*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30887 by -67.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1. Let r(t) = 14*t - 24. Let d(p) = -p + 2. Let s(j) = -10*d(j) - r(j). What is 2*n(x) + s(x)?\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 - 9 = 0. Suppose -n*b = -3*t + 234 - 33, 0 = 4*t + 3*b - 297. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -3\/5 (b) -7\/4 (c) 0.1 (d) -36 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 16*k + 19. Calculate p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.63169 or -2\/139?\nAnswer: 10.63169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3 - 3. Which is greater: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20954, 83857, 188700, 335489, 524230?\n\"Answer: x**3 + 20964*x**2 + 4*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153102.\nAnswer: 2, 576551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 58. Suppose -4*l = g - 6. Let r be (-20)\/(-90) - 133\/(-9) - l. Solve 0*w - 3*t = -w + r, -5*t = 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/120 + p**5\/15 - p**4\/6 - p**3\/6 - 18*p**2. Let f be t(2). Is (1 + 126)\/(3\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1944*o - 111. What is the tens digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -47. Suppose v*y - 734 = -129. Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.56275 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 572*h**2. Let u(b) = -869573*b. Give u(c(j)).\nAnswer: -497395756*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 2. Let g be (-14)\/2*111\/(-1295). What is the second smallest value in -5\/3, g, b, 4\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 157*v - 161*v + 11*y, y = -4*v + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 103 = -8*f + 2*f + 3*z, 2*z = -3*z - 15 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 6, n: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*380\/266\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k + 53. What are the prime factors of f(-18)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 - 12.9. Let p = s - -10. Let h = 0.1 - -2.9. Which is the third smallest value? (a) 4 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 45, 87, 145, 219, 309?\n\"Answer: 8*w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:15 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 4977.\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g - 2*g**3 + (-7*g**2 - 7*g**2 + 4*g**2)*(4*g + 0 + 0) - g**3 - 2 + 2.\nAnswer: -43*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 0.066 (d) -43 (e) 1\/7 (f) 1\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x + 9*x**2 + 2*x**3 - 29\/24*x**4 + 0. Is n(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*k - 937337 + 269549, 0 = -3*l - 2*k + 500839. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:23 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 628880*y. Let q(i) = -8*i**2 - 2. What is m(q(j))?\nAnswer: -5031040*j**2 - 1257760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 - -1010010010111?\nAnswer: 1010000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/(-11))\/((-8)\/2). Put s, -197, 0.5 in descending order.\nAnswer: 0.5, s, -197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 5963*s**2 + 83274*s - 177. Give k(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013279583 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 - -153.9. Let r = j - -0.1. Let f = r + -8.1. Which is the third smallest value? (a) f (b) 2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13\/83, 14.9 in ascending order.\nAnswer: -4, 13\/83, 14.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 1\/24*g**4 + 0*g - 91*g**2 + 0 + 0*g**3. Let i(d) = 2*d**2 - 8. What is a(i(y))?\nAnswer: 2*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853134 is divided by 1136.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 20714 - 20714.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 374?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 394 - 394. Let a = 86 + -78. Solve 2*c + 0*c - a = i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17525 and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -145, -187, -217?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*s**2*y**3 - 38*m*s**2*y + 16*m*s*y**3 + 10*m*s*y + m*s - 3*s**2 + 2*s*y**3 - 2*s*y wrt s?\nAnswer: -2*m*y**3 - 76*m*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -967.3?\nAnswer: 967.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147 + -144. Suppose o - 3*o + 714 = -4*w, 0 = o - z*w - 358. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let i(z) = -7*z - 1. Give 2*i(j) + 2*u(j).\nAnswer: -12*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 44*r**3 - 4*r**3.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21863372 to the power of 1\/2, to the nearest integer?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.24252 litres in millilitres?\nAnswer: 32242.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 8*z**2 - 13*z. Let f be x(3). Which is the nearest to 0? (a) f (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1035039 or 1035040?\nAnswer: 1035040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43232 divided by -9.\nAnswer: -43232\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 21*f - 63. Let c be t(10). What is the second derivative of c*w**2 + 58*w - 52*w**2 - 3*w**5 + 2*w**5 wrt w?\nAnswer: -20*w**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:34 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 0. Let n = 1 + a. Is n equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 80 + 70 = 0. Let u = -8 + f. Let w be 4 - (-5)\/((-5)\/17). Is w bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-9 + 2)) + (-36 - -33). Solve 0 = -2*s + 5*q - 8, -n*s - q - 12 = -3*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379260 by 63.\nAnswer: -6020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 126818469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 6*t + 3*z - 30, -4*t + 2*z - 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 23500626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzjwlzlzzwwzzwwz. What is prob of sequence jlww?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5330862 - 68796985. Let x = i + 74127918.000051. Let f = x - 71. Round f to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7087880 + -16224103919\/2289. Let k = 3\/763 + u. Find the common denominator of 89\/32 and k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/2 - 842368*j**2 - 354791923712*j = 0. What is j?\nAnswer: -842368, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*f + 0 + 36\/7*f**2 - 10\/7*f**3.\nAnswer: -2*f*(f - 4)*(5*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 5*d - 7. Let a be m(4). Suppose -504 = a*b - 1624. Let j = b - 85. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001001001001110 - 10?\nAnswer: 1101001001001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1908 and -1908 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30.865 and 0.5?\nAnswer: 31.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*b = 0, 3*u - 518 = -2*b - 516. Calculate the smallest common multiple of u and 108800.\nAnswer: 326400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r + 10. Let c be z(-7). Suppose -c*j + 12 = -0*j. What is the least common multiple of ((-7)\/(-14))\/((-2)\/(-48)) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-3 - (4 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203.9344 - 0.0356. Let d = k + 208. Let a = d + -0.03. What is the closest to -3\/7 in a, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**6\/360 + g**4\/12 - 2*g. Let c(x) be the third derivative of q(x). Let z(h) = -2*h. What is z(c(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 + -0.3. Let a = 0 - w. Let q = 4.000001 + a. Round q to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*p - 116*p + 6*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*n - 119*n + 665 = 2441 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -889.427447 rounded to 2 decimal places?\nAnswer: -889.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11757680 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 32*y - 92 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -261.00218. What is g rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -1\/6, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 52 = -8*f. Let p be (0 + 14)\/(11 - f). What is the third biggest value in 0.5, p, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20059544?\nAnswer: 2, 313, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -347*l**2*o**3*w**3 - 2*l**2*o**2*w**3 + 32*l**2 - 2*o**3*w**3 + 2*o**2*w**2 + 2*o**2 wrt o.\nAnswer: -2082*l**2*w**3 - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963333773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - o**2)*(2610 + 1977 - 1089).\nAnswer: -3498*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 15260\nAnswer: -71\/15260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.79 (b) -2\/21 (c) -1\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 29276 - 29276 - 6*u + 0*u + 8*u. Let q(c) = -1697*c**2 + 2*c. Give q(h(g)).\nAnswer: -6788*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(10164\/(-175329)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 3*z**2 + 2*z - 4. Calculate m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 3 = -10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 4*q**6\/15 - 6*q**5\/25 - 17*q**4\/10 + 8*q**3\/5 + 4*q**2\/5 + 787. Determine w so that u(w) = 0.\nAnswer: -2, -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 68 = -163. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**2. Let l(w) = 40059*w. What is z(l(g))?\nAnswer: -16047234810*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:01 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 16*x + 30. Let c be q(13). Let h = c - -26. Suppose -4*g = -3*d - h, 3*d - 4*d - 2*g = -11. Solve f + 4*f = -4*s + 6, -3*s = 2*f - d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (1 - (-1 - -3)). Let b = -1 - -6. Suppose -10 = 2*v, -b*v + v = 4*o. Sort u, 4, o in descending order.\nAnswer: o, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 45\/4 of a millisecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (-5 + 3 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 2*q. Let y be o(-1). Suppose 0 = 2*l - y*l + 2. Is -3 - (l - 0) - -499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*l + 5*g, 5 = -2*l + 7*l + 5*g. Factor -1 - 5 + 2*d**2 + l.\nAnswer: 2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 20. Let f = s - 1. Solve -f*d + 20 = -2*r - 0, 5*d = 3*r + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/11 - (-6)\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905618097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/(-7) + ((-58)\/210 - (-56)\/(-1260)*-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 3227*p**3 + 3 + 1591*p**3 + 1634*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9829\/10 + 983. Let v = 1.5 + -2. Sort v, -0.4, -1\/9, y in increasing order.\nAnswer: v, -0.4, -1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -6, 1 in ascending order.\nAnswer: -6, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70298993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 - 627*r - 2122. Determine s(-101).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5476, -10531, -15578, -20617, -25648, -30671?\n\"Answer: 4*d**2 - 5067*d - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -3*l**8\/896 - 43*l**7\/6720 + l**6\/1440 - 149*l**3\/6 - l**2 - 2*l. Let c(h) be the first derivative of z(h). Factor c(m).\nAnswer: -m**2*(m + 1)*(45*m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989684187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 86486 = 85*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -2\/16957, -15, 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/36)\/((-290)\/(-3248)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*m**2 + 45*f**2*m - 508*f*m**2 wrt f.\nAnswer: -4*m**2 + 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -0.1. Let q = h - -1. Which is the smallest value? (a) q (b) 3\/8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406571.\nAnswer: 11, 23, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -244*l + 19747. Give h(81).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**4 - 7*s**4 + 4*s**4)*(-10*s + 0 - 2 + 3).\nAnswer: 70*s**5 - 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1408 + 0.3592. What is the smallest value in 4, a, -3\/76?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -61*b**4\/24 - 49*b**3\/3 + 144*b**2. Does 7 divide z(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 518*t**2 + 66*t + 77. Is j(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 22 = -2*h, -35*p - h - 19 = -32*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -203, -434, -677, -938, -1223?\n\"Answer: -b**3 - 224*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186 divided by -371772?\nAnswer: 593\/185886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 11, 39, 89, 167, 279, 431, 629?\n\"Answer: n**3 + 2*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/2875, -1\/7 in decreasing order.\nAnswer: 2\/2875, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 11 + 1)*(3 - 3 + t**2)*(-t + 4*t - 2*t) in the form s*t + p + r*t**3 + o*t**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 32*v**2 + 172*v - 6. Determine j(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102010 + 1220221?\nAnswer: 20100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26129529 - 91*o + 201*o - 26129529.\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 17, 7, -15, -49?\n\"Answer: -6*m**2 + 20*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 46\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12402538 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -39. Suppose 6*q - 16*q + 30 = l. Suppose o = -4*o - 25, q*p = -4*o + 1045. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*q - 7*q - 40, 4*a + 3*q = 64. Calculate the remainder when 20 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(1 + (-66)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -340013 (base 5) to base 4\nAnswer: -2321223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*-31.35\nAnswer: 156.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7929.\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Suppose -d - 3*o - 7 = u, -4*o = d + d + 22. Let y = -14 - d. What is the highest common divisor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(13)) + (sqrt(13) - (sqrt(78)\/sqrt(6) + -1)) + sqrt(13) + sqrt(13))**2 + 3.\nAnswer: 44*sqrt(13) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, t: 1, w: 2, k: 2, f: 1}. What is prob of sequence ft?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtj when three letters picked without replacement from {g: 1, k: 1, j: 1, t: 1, o: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 12*m - 14. What is the units digit of q(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1696*t - 810*t + 485*t + 282828 = 1346*t for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11853, 23707, 35561?\n\"Answer: 11854*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -119361 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 + 12*n**2 + 6*n - 28. Let t(o) = -6*o**2 - 3*o + 14. Let p(v) = 5*t(v) + 2*u(v). List the prime factors of p(-6).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435713839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -9 (b) 4 (c) -2\/15 (d) -0.48 (e) -185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(19 + 39 + 23)*(s**2 + 3*s - 3*s).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3111 and 0.3?\nAnswer: 3111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4)*q)\/q**(-6)*q\/(q\/q**(-1\/2))*q*q**5*(q**(-1\/2))**(-1\/6)\/((q*q\/q**1)\/q)**23 assuming q is positive.\nAnswer: q**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2255, 66 in decreasing order.\nAnswer: 2255, 66, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11121?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**3 + 29*q**2 - 197*q + 8. What is the thousands digit of i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 47. Suppose -x + 240 = -3*g, -2*x = -a*g - 358 - 130. Let y = -86 + x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.29, 1242, -54?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (50 + -35 - 48)) + 91.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5760) - (-1*sqrt(5760) + sqrt(5760)))*3)\/(sqrt(96)\/(sqrt(36)\/sqrt(3))*5)*-2.\nAnswer: -72*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from {y: 1, i: 2, a: 1, n: 1, e: 1, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*w**3 - 3*j**2 - 377172*j*w**5 + 86*w**2 + 46*w wrt w.\nAnswer: 6*j**2 - 22630320*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13202103 (base 4) to base 11\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h. Suppose -4*o - 2*r + 149 + 127 = 0, -4*o + 264 = 5*r. Let x = o - 64. Let a(i) = -11*i - 8*i - x*i**2 + 19*i. What is b(a(t))?\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430243, -860476, -1290709, -1720942, -2151175, -2581408?\nAnswer: -3011641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 359535\nAnswer: 2516745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + 30. Let q = u - 15. Let j be (-2)\/5 - 3\/5. Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - c**2 - 5*c. Let f(w) = -2*w**3 + w**2 + 9*w. Let h(b) = 3*f(b) + 5*j(b). List the prime factors of h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 + w**2 - 2*w**2. Let d(h) = -2*h**2 + 3*h**2 - 5*h**2 + 3*h**2. Calculate d(k(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 132, 282, 488, 750, 1068, 1442?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 4164*b + 16722. Determine k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + x)*(0 + 0 - 3) + x + 0*x + 0*x - 2*x - x + 0*x + (x + 2*x - 4*x)*(4 + 2 - 5).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7*i = 6*i + 15, 5*i = 2*q + 7. Solve 0 = 4*b + q*b + 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 - 6540021*h + 32700180 = 0 for h.\nAnswer: -2180012, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(3)*4)\/(-1*sqrt(5)*-5) + 3 + 4 + 5*(-3 + (sqrt(84)*2 - sqrt(84))\/sqrt(12)).\nAnswer: -8 + 29*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86.05 - 142. Let u = -56 - j. Round u to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58282 and 492863.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v + 10. Give s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-5964) - (-48671)\/(-287266).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133546 divided by 66773\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c. Let j(o) = -4*o**2 + 3*o - 3. Let u(n) = -9*n**2 + 7*n - 7. Let s(i) = 14*j(i) - 6*u(i). Give r(s(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 7*d**2 - 106*d - 9. Determine a(8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 234 = 62*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17\/1020*30*(-12)\/10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -321\/7, 4\/7, -4, 3\/5 in descending order.\nAnswer: 3\/5, 4\/7, -4, -321\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12685 + 0.1276287. Round u to five decimal places.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231051 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.67? (a) 12 (b) -0.2 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let n(g) = -4811*g. Calculate o(n(i)).\nAnswer: 23145721*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 + 1 - -2) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 438.\nAnswer: -175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*q**3 - 2*b + 2*q**5 + 2*q**4 - 28*q - 1 wrt q.\nAnswer: -18*b*q + 40*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 14*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Let y(b) = b**2 + 5*b - 49. Let m be y(-10). What is the second biggest value in 1\/5, z, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(11\/(-36)). Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 500183, 500182, 500181, 500180?\n\"Answer: -j + 500184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 213? (a) 541 (b) 3\/4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 20*g**2 - 3*g - 66. Let k be j(-20). Which is smaller: k or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000110000110 (base 2) in base 15?\nAnswer: -c3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**5 - 76229*y**3 - 2*y + 15444?\nAnswer: 60*y**3 - 457374*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = -7*p. Let z be p + 23 - -3*(-3 - -4). Solve 5*n = z - 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2355 - 23848 = 711*q + 815 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165626 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104838428.\nAnswer: 2, 19, 137, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 814 - 0\/4. Let s be (i\/20)\/(2\/(-500)). What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3734474 + -4315?\nAnswer: -4286.6265526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 15*q + 1554 + 1506 = 0. Calculate the greatest common factor of 250 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239319 is divided by 153.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6987.347 and 48?\nAnswer: 6939.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36078195 to the power of 1\/2, to the nearest integer?\nAnswer: 6007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32110 by -6.\nAnswer: -16055\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3605189591.19999717 + 3605190217.2. Let x = -626 + z. What is x rounded to seven dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -67. Solve 3 = -3*s + j*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*a + 1326 + 51*a**2 + 27*a - 9*a**2 wrt a?\nAnswer: 84*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let x = 1053 - 4211\/4. Let y = 104\/9 - 289\/18. Which is the smallest value? (a) x (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 914 + 1058. What is the remainder when (-8)\/(-14) + f\/28 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.2. Let i = -178 - -178. Which is the nearest to -4? (a) 1\/8 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86410 and 105.\nAnswer: 1814610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6737727546 and 4.\nAnswer: 6737727550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 61*k**3 - k + 67*k**3 - 2*k**4 - 6*k - 2*k to the form j*k**3 + u*k + f*k**2 + a*k**4 + i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 936 - 7914. Does 59 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let d = -63 - -105. Let p be d\/63 + (-8)\/6. What is the closest to j in p, -2\/47, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(143)*-1 - sqrt(143)))\/sqrt(11) - ((-1*(sqrt(143)*1 + sqrt(143)))\/sqrt(11))**2.\nAnswer: -52 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*g - 448*g - 4*u + 9*u + 5 = -0, -g + 5*u - 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1476)\/(-205) + (-2)\/10. Let u(i) = i**2 - 8*i + 3. What is u(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {r: 1, s: 1, c: 2, u: 2, j: 1, k: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 529164 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29034245.0000015 - 29034237. Let o = 8 - k. Round o to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3059 and 23807.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(1\/2)\/m)\/m))\/(((m*m*m*m**(26\/3))\/m)\/m)*m**7*m*m**(-5\/6))**(1\/9) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/23 + 62*x**4\/23 - 478*x**3\/23 - 62*x**2\/23 + 480*x\/23 = 0.\nAnswer: -1, 0, 1, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0.8 (c) 3 (d) 0.158 (e) 1 (f) 0.224\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 5 - 12*w + 2. Suppose -3*v - 26 = 4*z, 3*z - 13 = -5*v - 49. What is the remainder when b(v) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 4*r**2 + 3*r**2 + 3*r + 2*r**2 - r**3 to g*r**2 + b + j*r**3 + z*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:44 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from gyyygggggg.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577173 is divided by 288585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/22)\/((-45)\/1155))\/(-2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + c + 0*c)*(-2 + 1 - 3)*(1530 - 923 + 2713) to f + p*c and give p.\nAnswer: -26560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(717*p**2 - 73*p**2 + 908*p**2) as f*p**2 + u*p + s and give f.\nAnswer: -1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -59*d + 55*d + p, -p - 4 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147458, -294909, -442360, -589811?\n\"Answer: -147451*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - 0.08. Let b = 2.98 + 2.02. Let x = -54\/17 + 52\/17. What is the closest to n in x, -4, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -291.2 - -291. What is the smallest value in f, 0.4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*p**2 - 25 + 45*p**2 + p**3 - 97*p**2.\nAnswer: p**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12\/13)\/b)\/b)\/(b*b*b**(-12)\/b) assuming b is positive.\nAnswer: b**(105\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Let k = -667 + 681. What is the third biggest value in j, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**5 + 6661791*y**3 - 2087096*y + 3?\nAnswer: 20*y**3 + 39970746*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*k**3 - 632*k**2 - 4864*k + 2048.\nAnswer: -4*(k + 16)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55.99 times 500\nAnswer: 27995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/((-6)\/(-36)). Sort r, 2, -3 in decreasing order.\nAnswer: r, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -7, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 16. Let s be x(6). Let b be (-4)\/s*(-1 - -13). Let m = b + 23. Solve 13 = 5*r - 0*r - 4*a, -4*r + m = 3*a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35771977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 11788*c**2 + 70620*c - 105876 = 0 for c.\nAnswer: 3, 2941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**3 - 23*s**2 - 2351*s - 9363. What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o*o*o*o*o**(-27))*o)\/o**5)**(1\/30) assuming o is positive.\nAnswer: o**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 13. Let m(w) = 2*w - 19. Let g(r) = 7*j(r) - 5*m(r). Let v be g(0). Solve -o = v - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57078233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 133950.6kg in micrograms?\nAnswer: 133950600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 165472406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-35876.\nAnswer: -3587.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-960)\/(-16)) - 15\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -264871 (base 14) to base 6\nAnswer: -44133255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 84 = 4*l. What is the common denominator of ((-9)\/12)\/(-3) - (-173)\/12 and (-52)\/l + (-6)\/(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22404330 (base 7) in base 9?\nAnswer: 3603426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1248)\/(-260)*1*5. Let i be 1 + (-3)\/(v\/46) + 5. What is o in -i*o**5 - 3\/2*o**4 - 7\/2*o**3 - 9\/4*o - 1\/2 - 4*o**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174 + -178 - (1 + 1)) + 8 + 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 1. Let p = 45 + -44. Let u(x) = -x**3 - 3. Calculate p*u(h) - 3*a(h).\nAnswer: -h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = -3*s + 17, 0 = -s - 5*x - 2. Suppose 2*j - 2 = 3*l, 5*l + 2*j + 40 = -2*j. Put s, 2, l in increasing order.\nAnswer: l, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486868.\nAnswer: 2, 59, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 850. Let p(x) = 37*x. Calculate b(p(j)).\nAnswer: -74*j - 850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -120, -189, -272, -369?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17766, 35434, 53042, 70560, 87958, 105206, 122274?\n\"Answer: -5*p**3 + 17703*p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310365?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -0.01, 2\/5, -5\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 8:59 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 6 + (6 - -1) + (-2 - (7 + -55)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1569382100 to the nearest 1000000.\nAnswer: -1569000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-3 - (-31)\/1. Let m = -204 - -219. Suppose 60 = m*l - 0*l. Calculate the greatest common divisor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -2*i**2 - 5\/6*i**3 + 0*i - 1\/60*i**5 - 7\/24*i**4 + 0. What is the units digit of u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -4*g + 35. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 5*b**4\/8 + 3*b**2. Let m(s) = -57*s - 58*s + 164*s - 51*s. Give m(t(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c - 7370 + 874 = 0. What is the greatest common factor of c and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 386*y - 5. Let c(z) = 10*z. Give c(v(p)).\nAnswer: 3860*p - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -70, 1, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72390 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3840\/187 in -0.3, 0.05, 47?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 37 - 9 = 0. What is the common denominator of 79\/8 and f\/42*(-2 - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.021 - 162492\nAnswer: -162492.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a)*(-2*a + a + 2*a) + 0*a**2 + 4*a**2 - 6*a**2 + (1 - 5 + 2)*(3*a**2 + 2*a**2 + 2*a**2).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 136 (c) 0.3 (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/27 + -2)*1. Let x = 59 - 59. Which is the third smallest value? (a) u (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 3*m)*(5 - 5 - m) + 65*m**2 + 9*m**2 - 4*m**2 + (3 - 5 + 4)*(-1 - m**2 + 1).\nAnswer: 67*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from eteeeeeteeeeet?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 27 - (-29 + -3 - -12).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3230, -7642, -13210, -19934, -27814, -36850, -47042?\nAnswer: -58390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.33 - 53. Let l = -0.33053 + u. What is l rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wumm when four letters picked without replacement from wfufwfxnmuxff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/420*3*2*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 7 - 13 - (3 + -1) - 20\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p**2 - 1. Let q be h(1). Let z = -7 + q. Solve -z*g = -g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + 12 - 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 at most as big as 3747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 3 - 3)*(2 - 2 + 2*k) + (-43*k**2 + 65*k**2 - 60*k**2)*(2 + 1 - 6) in the form q*k + l + w*k**2 and give w.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-30)*9)\/(9\/45). Let l(q) = q**2 + 3*q - 2*q + 2*q + 3. Let r be l(-2). What is the biggest value in b, 0.5, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1. Let j(o) = o**2 + 5*o - 1. Let p(k) = 5*k**2 + 20*k - 5. Let m(f) = -9*j(f) + 2*p(f). Let w(h) = m(h) - q(h). Let s be w(5). Is 3\/11 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51785.\nAnswer: 5, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1344920 and 67\/136.\nAnswer: 22863640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/2))**(-42)\/(w**(-1\/3)\/w**(-6)))\/((w**(3\/7)\/((w\/(w**(-2\/11)*w))\/w))\/(w*w\/(w*w\/w**(2\/23)*w)*(w**(1\/4)\/w)\/w)) assuming w is positive.\nAnswer: w**(-649811\/21252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1.1. Let r = 1.9 + -7.9. Let g = r + 5.9. What is the third smallest value in g, -3\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -252, -26 in increasing order.\nAnswer: -252, -26, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 10*o**3 - 9*o**2.\nAnswer: -o**2*(o + 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2455, 90, -0.4, 1, 3 in increasing order.\nAnswer: -2455, -0.4, 1, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmx when three letters picked without replacement from uxomvgom?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632072?\nAnswer: 2, 3, 193003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.101 - -6.201. Let f = 6 - u. What is the second smallest value in -0.4, 2\/19, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 492908, 492955, 493002, 493049, 493096, 493143?\n\"Answer: 47*k + 492861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141743 * -0.3.\nAnswer: 42522.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 24. Suppose -4*j = -7*j + v, 4*h = -3*j - 21. Let g be (1 - 298\/(-3)) + 3\/h. Calculate the greatest common factor of g and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10787340, -10787386, -10787436, -10787490?\nAnswer: -10787548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 5*a - 4. Let d(b) = 2*b**2 + 10*b - 9. Let g be d(-6). Suppose -4*w - 9 = -6*w + g*v, -v - 11 = -2*w. Calculate c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: How many minutes are there between 6:39 PM and 3:34 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/108*102 - 8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 38*d + 5574. Give k(96).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16444*k - 1 + 32694*k - 16252*k - 43.\nAnswer: -2*k - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7 - 5\/7*t - 8\/7*t**2 + 3\/7*t**3.\nAnswer: (t - 3)*(t + 1)*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*s**3 - 531*s**3 + 265*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35579 + 35597. Which is the closest to -8\/7? (a) -5\/6 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676*b**5 + 1636*b**2?\nAnswer: 40560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9218*w**3 - 334*w wrt w?\nAnswer: 55308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(13\/6))\/(231\/(-22)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 0. Let a = 20 - r. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 54 = -w + 3*w, 3*w = -2*c + 56. Calculate the highest common factor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*35\/(-28)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 779 in descending order.\nAnswer: 779, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 + 167.4. Does u = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/u**2)\/(((u**(-1\/5)\/u*u)\/u)\/(((u**(-3\/8)*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 18*u**2 - 33*u + 13. Let k be s(16). Let b(x) = -5*x**2 + 2*x**2 + 2 - x**3 - 6 - 3*x. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide -1*(-8)\/(-16)*((0 - 928) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12965217 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 54*p + 13*p - 28 + 52 - 72*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -312 - -315. Which is the second smallest value? (a) -2 (b) -5 (c) -61 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 3*v + 360. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 3. Suppose 3*k = k - p. Let y be (-6)\/k - (-2)\/(-4). Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - b + 88, -4*b = -5*b. Let g = y - 46. Let p be 18\/6 - g\/(-1). Is p smaller than -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**4 - 14 + 14 + (-39*q**2 - 202*q**2 - 8*q**2)*(4*q**2 + 2*q**2 - 5*q**2) to h*q**3 + t*q**4 + a + x*q**2 + g*q and give t.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -307365\nAnswer: -307365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 661321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = 5*k, 5*k - 2*f = -8*f + 45 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14062?\nAnswer: 2, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32483 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2509\/54864?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*i - 17 = 0, 6*a + 5*i = 3*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.707032 less than -0.1?\nAnswer: -0.807032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.2443.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/2 + 16*y**4\/3 + 115*y**3\/6 + 25*y**2 + 16*y\/3 - 16\/3 = 0.\nAnswer: -4, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136936389 to the nearest integer?\nAnswer: 11702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*h + 414 - 134 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + r**2 + 43*r + 6. Determine z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 5, 2.5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19330641 is divided by 123125?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c**2 - 123*c - 2109. Let i be l(-15). Are 2213 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 9 + (6 + -8 - (-6 + 11))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - w - 2)*(-3*w**2 - 3*w**2 + w**2) - w + w + 3*w**3 as j*w + c + h*w**2 + n*w**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 7. Let y = 5 + t. Calculate the remainder when (466\/10 - -1) + 30\/(-50) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bha when three letters picked without replacement from {b: 3, f: 5, l: 5, a: 1, h: 5, n: 1}.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(0*h + 0*h - 3*h) + (-1 + 2 + 1)*(-2*h - 2*h + 3*h) - h + 7*h - 3*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4200 + 1938 - 19243 - 31415 - 11200 + 3795)*(-2*k + 2*k - 2*k).\nAnswer: 103850*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (107510\/32253)\/(((-1)\/((-14)\/(-40)))\/(-6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 1845749*k\/3 - 1845748\/3.\nAnswer: -(k - 1845748)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b - 5 = 0. Let z be ((-30)\/4)\/(b\/4). Let l = z - 14. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, 2, -0.3, 3, 42, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:57 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 760650361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -424, 1, -4, -0.5, -2\/63, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s**2 - 11*s**3 + 14*s**2 + 2*s - 3 - 32*s**2 in the form v*s**2 + w*s**3 + l*s + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6277\/21 + -299. What is the biggest value in -4\/5, 4, r, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - 8*r + 183. Does 42 divide b(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1659 and 204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (9 - (-4 - -19))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**9)\/(y*y**13\/y))**(-8\/5))**(-1\/11) assuming y is positive.\nAnswer: y**(-24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 176502 * -0.4\nAnswer: -70600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 - 14440000. Let z be l(0). Round z to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13602*x = 13597*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034715 to four dps.\nAnswer: 0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.93 and -0.7.\nAnswer: -2.751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l**2 + l)*(5*l**2 + 0*l**2 - l**2)*(4*l + 0 + 0) + (-2*l**2 + 4*l**2 + 0*l**2)*(0*l**2 + 2*l**3 + 0*l**2).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 3*j + j - 223*j**2 + 2*j**3 + 364*j**2 - 180*j**2 in the form z + r*j**3 + f*j**2 + d*j and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l**4 + 384*l**3 - 353*l**2 - 384*l + 371. Let z(q) = -8*q**4 - 192*q**3 + 178*q**2 + 192*q - 186. Let n(m) = -2*j(m) - 5*z(m). Factor n(g).\nAnswer: -4*(g - 47)*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = f - 438. Let n = f - -69. Which is the smallest value? (a) 8 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*i + 3180, 0 = 3*a - i - 388 - 1521. What is the greatest common divisor of a and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 15) in base 6?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -67*v + 737. What is w(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -893, -871, -849?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -100, -135, -154, -151, -120?\n\"Answer: c**3 - c**2 - 49*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m**2. Let u(o) be the third derivative of o**4\/12 - 9*o**2. Give u(y(g)).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(-1*sqrt(130) + sqrt(130)) + 4*(1*sqrt(130) + sqrt(130) + sqrt(130)) + sqrt(130)))\/(-2*sqrt(640)*5 - 3*sqrt(640)*-1).\nAnswer: 13*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f. Suppose 0 = -5*i + 3*b + 136, 3*i - 2*b = 3*b + 88. Let p be (i - 4 - -3) + -3. Let h(k) = 2*k - 22 + p. What is h(o(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0919 (b) 10\/11 (c) 0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t*t*t\/t**(-1\/2)*t)\/t)\/t*t*t**(-1\/7))\/(((t\/(t*t\/t**(1\/3)*t))\/t)\/t)**13 assuming t is positive.\nAnswer: t**(2185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(132)*2 + sqrt(132)) + sqrt(132) - sqrt(132)) + sqrt(132))\/(sqrt(12) - sqrt(72)\/sqrt(6)*-5))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*39 + 1. Suppose 4*v - f = v. Suppose -3*h + v = -3. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -7\/3, -4, 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.841671 to 2 dps.\nAnswer: 255.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**2 + 13*p + 30. Let w be j(-7). Suppose -57 = 4*d - w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 887121 - -33\nAnswer: 887154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-143*9\/(-378)*-6 - -21)*2\/(-40)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 169 - 92. Which is greater: -88 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.978 + -0.022. What is the closest to -1 in y, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1502161*u**5 + 357*u**2 + u + 270 wrt u?\nAnswer: 90129660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 + -4 + 1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2 - 41601448*h - 216335059462088 = 0. What is h?\nAnswer: -10400362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84757 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((49\/(-7))\/(-28))\/2*6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*v + 62*v - 3*v**2 - 147*v as j + k*v**2 + u*v and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let l(x) = -46*x**3 + 6*x**2 + 18. Let b(y) = -41*y**3 + 6*y**2 + y + 17. Let d(s) = -9*b(s) + 8*l(s). Determine d(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -6. Let o = k - 24.3. Let f = 4.3021 + o. What is f rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:55 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5693.985 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21935 = -5*x + k, -5*x - k - 8774 = -7*x. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07024872958 to four dps.\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10495 (base 14) in base 5?\nAnswer: 2224311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132359788003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2644, 2685, 2726?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 37 - 13 = 0. Let c be ((-8)\/o)\/((-2)\/(-3)). Find the first derivative of 0 - 5*l**c + l**2 - 7 + 2*l**2 wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2863*0.3.\nAnswer: -0.08589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h. Let y be 2 - 3 - 30\/(-2). Let f(j) = -4913 - y*j + 4913. Give f(w(q)).\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 39*a + 6. Let o be c(-2). Let k = o + 129. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/18*(432\/60)\/(-12). Put s, -0.3, 2, -1 in ascending order.\nAnswer: -1, s, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*z + 3220 + 131, 5*z = -4*c + 5602. Let k = z + -330. What are the prime factors of k?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6 + -8 - (-12)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**3 - 10*c**3 + 14*c + 0*c**2 - 5*c + 2*c**2 + 9*c**3 - 4 wrt c?\nAnswer: -54*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 1, j: 2, r: 1}. Give prob of sequence rjjl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 610486\nAnswer: -610483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = a + i, 4*a = 5*i + 17. Suppose 22*y**4 + a*y - 3*y + y**5 - 20*y**4 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let j(u) = -6*u + 8. Suppose 2*i - 47 = 1. Let w be i\/10 - 12\/30. Suppose 9 = w*t - 5*m, 15 = -3*t + 8*t - 5*m. Calculate t*j(n) + 14*f(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 - 49*f**2 + 4*f - 555. Calculate o(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2330140?\nAnswer: -2330141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*l + 2*l. Suppose -l*f + 21 - 17 = 0. Factor 0 + 2\/15*s**3 - 2\/5*s**f + 4\/15*s.\nAnswer: 2*s*(s - 2)*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4566*h - 36. Let p be f(-4). What is p rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0166*30.4.\nAnswer: -0.50464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1128883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5374 - 3225. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*c + 205?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5 = -4*p, 4*p - 7 + 23 = -4*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4 - h - 1\/4*h**2 = 0. Calculate h.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 3*l. Suppose l*p - 4 = 6. What is the first derivative of -p*r + 3*r + 5 + 2*r + 4*r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1506 = m - 16*l + 18*l, 3*l + 1511 = m. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 5*f + 37. Let p(l) = l**2 + 2*l - 19. Let u(z) = -5*p(z) - 2*y(z). Determine u(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 2\/3 (b) 3 (c) 57\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert d43 (base 16) to base 5.\nAnswer: 102040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 2*n. Suppose 2*i = -2*i - 8. Let y(k) = -13*k**2 - 9*k. Let d(w) = i*y(w) + 9*p(w). Let l(b) = 3*b**2. Determine l(d(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:43 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*o - 4, -2*o + 14*i - 4 = 9*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*m - 195*m = -156*m + 480 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**8\/420 - s**7\/210 + 5*s**3\/6 - s**2 - 7*s. Let l(i) be the second derivative of r(i). Determine f so that l(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 385*m + 182*m**5 - 70*m**5 + 202*m**5 - 32*m**5 wrt m?\nAnswer: 5640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, 0.05, 0.72, 0.1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.294 * 0.4.\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322 - 70*n**2 + 111 + 112 + 98.\nAnswer: -70*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -1. Suppose -2*j + 7 - h = 0. Suppose 0 = -5*g - 2*x + 110, -j*g - 3*x - 63 = -5*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5010019 is divided by 68.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let h(m) = m + 9. Let l be h(-7). Let k = -373 + 378. Let b(a) = k*a + 0*a + l*a. What is u(b(c))?\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -68320 - -0.11043\nAnswer: -68319.88957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2349011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4338.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 880 and ((-56)\/49)\/(3\/(-2310))?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - n = -2*n + 13, 0 = -2*o - n - 8. Suppose 5*t + 0*t - 5 = 0. Sort -2, t, o in descending order.\nAnswer: t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 2*z**2 + 2*z. Let t(n) = n**2 + n + 1. Give -2*i(y) + 4*t(y).\nAnswer: 2*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 11) in base 5?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/((-7245)\/46))\/(1\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) + 4\/((-36)\/(-219)). Factor 20*a**4 - 22*a - a**5 + 2 - 6*a - 14 + 5*a**5 + n*a**3 - 8*a**2.\nAnswer: 4*(a - 1)*(a + 1)**3*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(-6)\/(-30) + (-384)\/30 + 6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4\/5 (c) -1\/8598 (d) -1\/8 (e) 0.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741462 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 12*i + 13. Let n be v(-11). Suppose 5*x - n = -4*c + 2*x, c - x + 1 = 0. Let j = c + -6. Put -7, j, 2 in decreasing order.\nAnswer: 2, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -19. Let w(l) be the second derivative of 0*l**z + 1\/10*l**5 - 3*l + 0*l**4 + 0 - l**2. Differentiate w(t) with respect to t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2*p - 4*p - 5 + 5 - p + (-5*p + 0*p + 4*p)*(-2 - 1 + 6).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2909, 2, -24, -1 in decreasing order.\nAnswer: 2909, 2, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o + 9*o + 13*o - 20*o - 3 in the form d + y*o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 = 26*z + 830. Let o(l) = 2*l + 1. Let b(j) = j**2 + 2*j + 4. Let s(v) = -3*v**2 - 4*v - 9. Let r(h) = 5*b(h) + 2*s(h). Calculate z*o(n) - 2*r(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:37 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + l. Let o(q) = -5 + q**2 + q + 1 - 7*q + 3*q**2. Let x(p) = 12*d(p) + 4*o(p). Determine n so that x(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - (-34)\/22)*2 and -38\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-4*a + 2*a + 8*a)*(3*a - 4*a + 2*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2086 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/7 - 138*k**3\/7 - 2718*k**2\/7 - 12798*k\/7 - 17496\/7 = 0.\nAnswer: -36, -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 162?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let m(j) = -1650*j - 2450*j - 3456*j - 6260*j + 3233*j. Determine v(m(p)).\nAnswer: -21166*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 - 349 - 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 16. Suppose 11 = 5*h + 3*n, 2*h + 11*n - 11 = 12*n. Give m(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 678\/141 - (-30)\/(-6). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l**2 + 14*l**2 + 18*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 + 39*c - 112. Give u(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-176)\/28. Let y(q) = 95*q - 7. Is y(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22913 is divided by 120?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -283 + 495. Suppose 5*f = u + 382, 600 - n = 5*f + u. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 2\/11, 0, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = -8, -5*o = 4*r + 3. Suppose -2*k = -k - 15. Let j(n) = -5*n**2 - k + 15 + n. Give j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 73*w**3 + 28 + 3*w**2 - 27 + (2*w**2 + w**2 - w**2)*(-3*w - 3*w + 4*w) as u*w + q + o*w**2 + b*w**3 and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m + 6. What is the remainder when 46 is divided by n(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 4. Suppose 4*i - 104 = 13*y - 9*y, -4*y = i - 46. What is the least common multiple of v(-2) and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 49745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 3*b**5\/10 + b**4\/12 - b**3\/3 + b**2\/2 - 33*b. Let d be w(1). Calculate the highest common divisor of d and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4382 + -4376. Let l(q) = q**3 - 6*q**2 + 3*q. Determine l(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13167281 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - x + 2*x = 7, 0 = -4*g + x - 13. Is 14 a factor of (-7)\/14 - 95\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148763347 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222670 and 40?\nAnswer: 890680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7\/4*94\/329*(-3)\/2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84 - 84)\/((-8)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2 + 5. Suppose -2*f - n*f = -400. Let q = 20 + f. What is the highest common factor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*d + 5 = -16, -5*d - 10 = 0. Let t = -27 - r. Let q be (-24)\/(-9) + (-2)\/t*-4. Solve -q*n - n = 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 29841 + 5622. Suppose y - 5*b - 912 = 436, -2*y + k = -5*b. What are the prime factors of y?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6681329*r + 17559792?\nAnswer: -6681329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 + 1528. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(3)*2*5 + 0 - 4*((sqrt(3) - sqrt(12)) + 4)) + 0))**2.\nAnswer: -179200*sqrt(3) + 337600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 51.6. Let g = 11 - u. Let n(j) = -j**2 - 6*j - 1. Let s be n(-6). What is the second smallest value in g, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6.4, -2\/5, 0, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72384071*x**4 - 34508*x**2 - 354*x?\nAnswer: -1737217704*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 851\/5 - 171. What is the common denominator of 1\/65 and q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 20. Suppose -b - i = -3*b. Solve 2*v = -3*v + b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmttststssstst. What is prob of sequence tms?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13579575 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 159*m - 508. What is the remainder when g(43) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5511 + 206*z + 2749 + 2762.\nAnswer: 206*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l + 75. Let u be x(-4). Solve -2*y = z, 2*y = -y - u*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16702 divided by 1193.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 5. Let f be (2\/4)\/(2\/16). Let j be c(f). Find the second derivative of 7*l - 4*l - 2*l**3 + j*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1102, 2, -3, -296 in decreasing order.\nAnswer: 2, -3, -296, -1102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7330, -7331, -7334, -7339, -7346?\nAnswer: -7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541252177.\nAnswer: 1541252177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*t + 2 = 0, 5*j + 4*t - 2*t + 33 = 0. Let f(o) = o**2 + 3*o - 4. What is the units digit of f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2*u - 120*c**2 + 4*c - 10681*u**3 + 5 wrt u.\nAnswer: 3*c**2 - 32043*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r**(2\/17)*r*r*r)\/r)\/r)**9)**(2\/23) assuming r is positive.\nAnswer: r**(954\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Let a = p + 0.1. What is the smallest value in -4, a, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/7 - 157*j**2\/7 - 869*j + 6241\/7.\nAnswer: -(j - 1)*(j + 79)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 2. Let k be (-303)\/(-27) - 2*1\/h. Find the second derivative of -k*w**4 - 9*w - 15*w**4 + 8*w**4 - 6*w wrt w.\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6325102 is divided by 3162272?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 837833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214 + 54534?\nAnswer: 55152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, c: 1, u: 3}. Give prob of sequence uhcu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6616*b - 3013. Is o(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - m\/2 - 1\/4.\nAnswer: -(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12279 divided by -4093\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -c + 4, -351*c + 347*c - 11*v - 38 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59487*z**4 - 4*z**3 + 8*z**2 + 3165 wrt z.\nAnswer: -1427688*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j + 0*j + (-30*j - 68*j + 12*j)*(11 - 11 - 8*j))*(2 + 2 - 2).\nAnswer: 1374*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-28))\/(3475\/827050)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 - m - 25. Give p(6).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1246 and 433519.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.27 and 0.263544?\nAnswer: 0.006456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -414*o + 1129 - 7526 - 7095 - 3896 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, o: 1, j: 2, h: 4}. What is prob of picking 1 h, 1 j, and 2 u?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41573 and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**3\/y)*y**4*y**8*y*y*y**7)\/((y*y**(-1\/3)*y)**(-14\/9)\/(y*y\/(y*y*(y*y*y*y*y**(2\/5)*y*y*y)\/y*y*y))**(-34\/5)) assuming y is positive.\nAnswer: y**(53806\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17394\/18018 - (-12)\/(-21)) + 2\/(-6).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Find the common denominator of o\/(-2) - (-171)\/(-24) and 89\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 2. Let s = 2.6 + u. Let h = 18.7 + -19. What is the biggest value in h, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 20*c**2 + 5*c + 15. Let v be q(7). What is the highest common factor of v and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i - 24*i + 3*i**2 + 46*i + 3*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2560 + -3354. Is u != -795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 2*l)*((0 - 3*l**3 + 0)*(5*l + l - 4*l) - l**4 - l**4 + l**4 - 7*l**4 - 8*l**4 + 4*l**4 + (0 - 1 + 2)*(-6*l**4 + 2*l**4 + 3*l**4)).\nAnswer: -19*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**4\/2 + 2*j**3 - j**2\/2 - 3*j + 472. Give u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15693769*a**2 - 58296*a + 38864. Let i(l) = -2423*l**2 + 9*l - 6. Give -19432*i(u) - 3*o(u).\nAnswer: 2429*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(sqrt(320) - (sqrt(320) - -1*sqrt(320))))\/((sqrt(20)*-2 - sqrt(20) - sqrt(20))\/sqrt(5) + (sqrt(4) - (sqrt(44) - sqrt(1100))\/sqrt(11))).\nAnswer: -12*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0 + 0)*(2*v**4 - v**4 + v**4)*(-6 + 2 - 3).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-16)*(3\/4 - (-18)\/40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + 153\/21. Solve -b - 4*b + c = v, 0 = -3*v - 3*b - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 13. Calculate t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5 + 1928*s**4 + 309252*s**3 + 11011464*s**2 + 8871984*s - 64294560 = 0.\nAnswer: -66, -3, 2, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 16\/7 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + g = -12221, -5*m = -21*g + 22*g - 15274. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 60?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2. Let g be y(-5). Suppose g = 5*k + 133. Does 12 divide (6*k\/3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/72)\/(1\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 24*l = -40. Calculate the lowest common multiple of 72 and l.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.45? (a) 0.1 (b) -0.045 (c) -3\/4 (d) -25 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:48 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 128*s + 366.\nAnswer: 2*(s - 61)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 1.7. Let y = 1823\/1589 - 1\/227. Which is the fourth smallest value? (a) -5 (b) q (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 224 = 246. Suppose -r - 43 = -3*v, -5*r + 2*v - 3*v = 295. Let l = f + r. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*f + 6820, 0 = -2*b + 2*f + 2950 - 674. What is the smallest common multiple of 99 and b?\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383977 = -258*w - 47197 + 2662874. List the prime factors of w.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/9)\/((-6)\/7119). Let c be 3*1 - (-8 + 10 + -1). Suppose -c*x = 5*x - p. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (16 - (44 + -11))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:21 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1884, -1\/4, -3, -5, 35, 0 in ascending order.\nAnswer: -1884, -5, -3, -2, -1\/4, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (1 + 5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 196, 3, 0, -4 in descending order.\nAnswer: 196, 13, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n + 1. Let c(j) = -3*j - 1. Let r(v) = -4*c(v) - y(v). What is r(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 30*f**2 + 8*f + 14. Let q(x) = -20*x**2 - 5*x - 9. Let g = 1069 + -1077. What is g*q(d) - 5*o(d)?\nAnswer: 10*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, -597, -677, -757, -837, -917?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 - 27*y**2\/4 - 965*y\/8 - 714.\nAnswer: -(y + 16)*(y + 17)*(y + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10080 divided by -36\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -18398886.\nAnswer: -18398888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231301 is divided by 3514.\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14202, -14217, -14250, -14307, -14394?\nAnswer: -14517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1927 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 5120.\nAnswer: 15360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:08 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 11*b**2 - 16*b - 16. Let v be j(9). Suppose h - 495 = -4*h - 2*n, v*h - 3*n = 198. List the prime factors of 2 + (-20)\/4 + h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202233?\nAnswer: 3, 67411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 5, v: 6, l: 6}. What is prob of picking 1 l, 1 u, and 1 v?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 8) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 9. Let x be c(-4). Suppose 2*q - x = -g, 7*g - 45 = 2*g + 5*q. What is the second derivative of 212*r**2 + g*r**5 - 212*r**2 - 14*r wrt r?\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 1 + 57 - (6 + (5 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020101 + 230320?\nAnswer: 2311021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 1:03 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 14\/(-6))*450\/(-300). Solve n*z - 2*u + 168 = 185, 5*u - 40 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsejnrsm. Give prob of picking 1 n and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*s**3 + 2*s**2 + 1376*s - 8 = 0. What is s?\nAnswer: -2, 1\/172, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91685, -92331, -92981, -93635?\nAnswer: -94293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51504618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 166 from 1459607402.1.\nAnswer: 1459607236.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5 + 2 - 4317*t + 4313*t. What is the remainder when 293 is divided by x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 + 1624 = 96*u + 570 - 1769 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -84514201 + -5?\nAnswer: -84514206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = -q + 22, -q - 31 = -j. Let a = -4 + j. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 - (-3 + 5 + -2 + 7 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 941394366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147556386 is divided by 4037.\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(-4*(-5)\/(-240)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 6 = -3*m + k, -4*k + 12 = 0. Solve m*q = 5*u - 28, 0*u - 2*q + 18 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + g + (g + 2 - 2)*(-4 + 4 + 5) - g + 5*g - 2*g - 6*g + 3*g + 5*g + (0 - 4 + 3)*(-2*g + g + 2*g) - 4*g + g + 5*g - 1 - 2*g + 1.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4*k - 18, 3*g - 21 = -2918*k + 2916*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1270525*y**5 + 4*y**2 + 51821332*y - 2 wrt y?\nAnswer: 76231500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110160176 to 6 decimal places.\nAnswer: -0.011016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-3) + (-8)\/(-24). Let h = a - -42. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203553945 by 7.\nAnswer: -29079135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 349, -280, -1369, -2906, -4879, -7276, -10085?\n\"Answer: 2*r**3 - 242*r**2 + 83*r + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + f + 12 = 37, -4*k + 43 = -5*f. Let u(q) = -q**3 + 5*q**2 + 3*q + 5. Let d be u(k). Let r = d - -125. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + 3 + (2*sqrt(1331)*-4)**2 + 2)*6 + -1.\nAnswer: 511121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00409931 to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 14}. What is prob of picking 2 h and 2 l?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15800517 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*(-22)\/20*(504\/(-154) + 3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 1:03 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -0.1, 255, -1\/2?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343*v + 121 = 1354*v. Solve 0 = 4*x - 20, 2*i = -5*x + 4 + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6*135\/24*3\/(-9) and 23\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -8512\/1935?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27449 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*i = -10, b + 9 = 4*b + 2*i. Let f = 4 - b. Suppose -4*h + 8 = -m, -f*m + 6 = 2*h + 2. Solve -3*c + m*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 3*f**2 - 15*f**2 in the form v*f**2 + y*f + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -680500 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2440618 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*i + 7298 + 54814 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + 12020*6\/28. Calculate the greatest common divisor of y and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (16 - (1 + -7 + (-349 - -360))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-76)\/34)\/(-2). Let r be (1\/(-5) - 1) + 1. What is the smallest value in g, -0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + m - 11*m**2 + m + 23 - 15 in the form a*m + w + x*m**3 + h*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 24*q**3 - 12*q**2 - 4*q**4 - 36*q**3 - 2*q - 2*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (sqrt(147) - -5*(-4 + sqrt(147))))*-2)**2.\nAnswer: -7840*sqrt(3) + 30412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-9217)\/(-26))\/(6\/66) + 1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932 (base 10) in base 2?\nAnswer: -11110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1377887*v - 1377884. Calculate m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27403\/53 - -517. Let g = 0 + 0. Are g and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let g(n) = -4*n**2 - 40*n + 18. Let o(c) = -9*c**2 - 103*c + 36. Let y(f) = 5*g(f) - 2*o(f). Determine -5*x(r) + y(r).\nAnswer: -2*r**2 + r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611218843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*s - 3*h - 0, -4*s - h + 21 = 0. Sort -2\/9, s, 9 in descending order.\nAnswer: 9, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34100 divided by 11.\nAnswer: -3100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 + 0*q**3 + 1\/40*q**6 + 0*q + 0*q**5 + 5*q**2 - 1\/24*q**4. What is the second derivative of v(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + q = -0*q - 103, -4*j = q - 77. Let m be -400*-1*2\/4. Let d be (m\/4)\/(2\/2). What is the highest common factor of j and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3531, 6986, 10289, 13362, 16127, 18506?\n\"Answer: -13*m**3 + 2*m**2 + 3540*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -235 and -235 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5024 - 12102?\nAnswer: -17126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1130575 < -1130575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**3\/3 + 1437. Let i(u) = 2*u + 53. What is m(i(s))?\nAnswer: 4*s**2 + 212*s + 2809","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*l + 3)*(0 - 4 - 2) + (-2 - 3 + 4)*(2 + 2*l - 2).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by -22\nAnswer: 96\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/9452 and -51\/40.\nAnswer: 94520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*b = 65, 3*d + 0*b - b - 23 = 0. Let r be (3 - d)\/(3 + -2). Let q be (-4 - 20\/(-6))*r. Solve q*v = -v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*q = 131*q + 128*q - 10999. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2900*m**3 + 4232*m**2 - 2*m + 4609. What is the second derivative of y(o) wrt o?\nAnswer: -17400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than 1701\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720860 by 3794.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvip when four letters picked without replacement from ibbrpvbbb.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*z - 6005 = 0, 120*z + 28 = 124*z. List the prime factors of g.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75167, 75166, 75165, 75164, 75163, 75162?\nAnswer: 75161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547112 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311133 (base 4) to base 16.\nAnswer: d5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 16568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*h = 9, -3*j - h - 638 = -639 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 851 divided by -36.\nAnswer: -851\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, h: 2, i: 1}. Give prob of picking 1 i and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.34, 1.86, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + c = 4, 3*m + 7*c = 4*c + 6. Let f(q) be the first derivative of -m*q - 2*q**2 + 2*q - 2. Let u(p) = p**2. Give f(u(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*q**5 + 940*q**3*r**2 + 2469*q**3 + 194*q**2*r**2 - 11223*q**2*r - 2*q*r**2 - r - 2 wrt q?\nAnswer: -600*q**2 + 5640*r**2 + 14814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24336 (base 7) to base 16\nAnswer: 18cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 571413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8328*u + 88*u - 6993*u - 4807*u + 1891*u to w + s*u and give s.\nAnswer: -18149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 + 2*n + 3. Let a be b(4). Let m = a + 7. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*l*l**(-15)*l*l)**44 assuming l is positive.\nAnswer: l**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*f + 258 = -343, 10*a = 2*f + 2920. List the prime factors of a.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+0.458\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -69. Suppose 3*z + 20 = -5*d, z - 1 + 5 = -d. Let b be (d\/(-3))\/((-10)\/q). Sort b, 5, 3 in decreasing order.\nAnswer: 5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647866463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {d: 2, o: 1, v: 2, a: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336126, 336093, 336060, 336027?\nAnswer: 335994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) + 0))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21571\/53*(-24)\/132.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3 + 0*v + 2 - 2*v - 3. Let z be (0 - -1) + (-1 - -6). Let g = 3 - z. What is y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x*x\/x**(-2\/13))\/x*x**(3\/4)*(x**(-1\/3)\/x)\/((x**(-4\/7)\/x)\/x)*x**(-4)*(x\/(x\/(((x\/x**5)\/x)\/x)))\/x*x\/(x*x**(-6\/7))*x*x**(-6) assuming x is positive.\nAnswer: x**(-10921\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4100890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -21939, -3, 7, 0, 1 in ascending order.\nAnswer: -21939, -3, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**1\/u)\/u)\/u)\/(u\/(u**7*u)))\/((u**(-1\/2)\/u)\/u*u*u**(-1)) assuming u is positive.\nAnswer: u**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 67*x + 64*x + 12, 22 = -4*j + 2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78853 or 78852?\nAnswer: 78853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**3 - 50*a**2 - 369*a + 49. Determine y(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*c + 28598156 = -350*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(394*x - 1328*x - 284*x)*(-2*x - 2*x + 2*x) in the form u + y*x**2 + n*x and give y.\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:14 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6825099*-0.04\nAnswer: -273003.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -419903000, -419902998, -419902996, -419902994, -419902992?\n\"Answer: 2*m - 419903002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {g: 9, r: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -2 + 1440\/18. Suppose -58 = -3*y + x. Let j = 6 + 18. Calculate the remainder when y is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 38*s - 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1111 - 1143?\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 13*k**2 + 4*k - 16. Determine s(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186, 222, 280, 360, 462, 586, 732?\n\"Answer: 11*x**2 + 3*x + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -143, -138?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 10534*p**2 - 10470*p**2 + 29 - 2*p**2 + 2*p**2 + 3*p**2 + 2*p**2 - 3*p**2 + 0*p**2 - p**2 - 2*p**2 + p**2 + (-3 + 4 - 2)*(4*p**2 - 4*p**2 + p**2).\nAnswer: 63*p**2 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 8*o**2 + 8*o - 1. Let w be 19\/(-3) + (-2)\/(-6). Let l be 266\/(-30) - w\/(-45). Let a be b(l). Do a and 8 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*q - 54, -5*q + 21 = 3*v - 4. Suppose -844*p + 842*p = -v. What is the least common multiple of p and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2))**(-10\/7)*k**(-4)\/k*k\/(k**(3\/8)*k) assuming k is positive.\nAnswer: k**(-341\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -16904.\nAnswer: -1690.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105153*j - 153399 with respect to j.\nAnswer: 105153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -27465 divided by 5?\nAnswer: -5493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4115*q + 2831*q - 208*q as s*q + u and give s.\nAnswer: 6738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 187895*m + 3006278. Calculate f(-16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 24. Let s be (i - 7)*(-58 + -5). What is the highest common factor of 27 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2985\/(-995))\/(14\/1)*200\/5.\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-13 + 13) - (-6 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 7*j + 6. Let n be k(7). What are the prime factors of ((-116)\/6)\/((-4)\/n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nnrnrr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.72592 rounded to two decimal places?\nAnswer: 25.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1086 and 566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6268 + 3683 + 5170 + 4853 - 4941)*(-2*g + 2*g + g).\nAnswer: 15033*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 687011.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 2. Let f be n(11). Let y = -7 + f. Is 39 - (2 + -4 + y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376141.\nAnswer: 47, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38799910*1\nAnswer: 38799910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, -1, 0.4, 0.08, 4, -3\/5 in increasing order.\nAnswer: -1, -3\/5, -0.43, 0.08, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and -83\/1197584?\nAnswer: 3592752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8 - -4) + 0 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(18) - sqrt(72)\/(sqrt(4) - (sqrt(4) + sqrt(4)*1)))*6)\/(2*(sqrt(6) + (1*sqrt(726) + sqrt(726) - sqrt(6)))).\nAnswer: -3 + 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/5))\/m)**2\/(m**(2\/3)*m*m\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-3) - 2\/(-6). Let o(q) = -38*q**2 + 14*q - 8. Let i(s) = -13*s**2 + 5*s - 3. Let j(b) = 11*i(b) - 4*o(b). What is the units digit of j(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 503*f**2 + 30754*f - 35694. Give j(558).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (1 - 330\/(-11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**5 - 80*t**4 - 68*t - 2 wrt t?\nAnswer: 40*t**3 - 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222081 or 222114?\nAnswer: 222081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -8*j**6\/15 + j**5\/5 + 4*j**4\/3 - 2*j**3\/3 - 49*j. Let i(n) = 0. Calculate n.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361854030?\nAnswer: 2, 3, 5, 43, 280507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/(648\/64). Let n(j) be the first derivative of 2\/45*j**5 - 1\/9*j**4 + 0*j**2 - 2 + 0*j + x*j**3. Factor n(f).\nAnswer: 2*f**2*(f - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let u(a) = 4*a + 173. What is d(u(v))?\nAnswer: -12*v - 519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 41.5. Sort 1\/8, b, -4 in decreasing order.\nAnswer: 1\/8, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 51 in decreasing order.\nAnswer: 51, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 26. Factor -2\/5*s**3 + 1\/5*s**a - 2\/5*s**2 + 1\/5*s**4 + 1\/5 + 1\/5*s.\nAnswer: (s - 1)**2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 6 + -3)*396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 945*q**4 + 200563*q + 473821717.\nAnswer: 3780*q**3 + 200563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -5. Let r = o + 3. Is r + (70 - -1) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.033352858 and 0.4.\nAnswer: 0.0133411432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -157 (b) 715 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 11*b - 10. Suppose 3*k - 4 = 5*p - 2, 6 = 4*k - 5*p. Let y be q(k). Solve y*r + 3 = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2487220 and 4\/35.\nAnswer: 17410540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 48. Let v be f(6). Let n = v - -28. Let d be 1\/(-5)*0 - n. Solve -d*m + 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, 1 j, and 1 p when four letters picked without replacement from qqssnqsgpnsjs.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(4 + -9)\/20. Which is smaller: s or -1\/656?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 166994*h**2 - 87143940144*h\/5 - 610048495224\/5.\nAnswer: -2*(h - 208746)**2*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3307065654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 + 2\/15*p**2 - 14\/5*p.\nAnswer: 2*(p - 20)*(p - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {d: 2, j: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 539 = 26*y. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbblblbbbbllllllbbl. What is prob of sequence bl?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*i - 100063 = 174833. What is the remainder when i is divided by 227?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -15 + (13 - 9 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, -24, -60, 0, 4 in decreasing order.\nAnswer: 9, 4, 3, 0, -24, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 9*j**2 - 9*j + 18. Let k be r(6). Let p be 2\/(-12) + 4741\/(-66). Let m = p + k. Solve 4*b + m = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 2*b. Suppose 9 = -3*q - 3. Let s = -3 - q. What is the units digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-15)\/(-9) + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -5. Suppose 3*z - 4 = 4*z, -x - 4*z = -37. Suppose -s = 4*d - x. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 1 - 3*c + 2*c**3 + c + c - 4*c**2 + 3*c**2 to b*c**4 + z*c**2 + d*c + h*c**3 + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13405\/6 + -2240. Find the common denominator of s and ((-117)\/(-21))\/(40\/14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, l: 3}. Give prob of sequence cl.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 54058 = 2*v - 13123, 3*v - 2*y - 100775 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 18*h - 153. Calculate the remainder when d(33) is divided by 142.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1057597457 to the nearest integer?\nAnswer: 32521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((162*n - 90*n - 202*n)*(-1 - 5 + 3) + (-3*n + 4*n + n)*(4 - 3 - 2) + 3*n - 2*n - 2*n)*(2*n + 8*n - 7*n)*(-24 - 10*n**3 + 24).\nAnswer: -11610*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 133*v + 1025. What is the thousands digit of g(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 7:44 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1900*b + 1887*b - 3811*b + 1536 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91.861 + 0.139. Let t = -91.93 + i. Which is the biggest value? (a) t (b) 0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 272736*b + 4649057856 = 0.\nAnswer: -34092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/4 - 71\/36. Let b = -0.96 + -0.04. Sort b, 0, q in descending order.\nAnswer: 0, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2077, -3661, -6293, -9967, -14677, -20417, -27181?\n\"Answer: l**3 - 530*l**2 - l - 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 80, 2\/7, 3, 0.1, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75174269 + 249.\nAnswer: -75174020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1311023 - 0?\nAnswer: 1311023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 2*g**2 - 5\/3*g**3 + 4 + 2*g + 1\/4*g**4. Determine d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:14 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 - (-1 - -166). Let m = -38 - s. Suppose 0 = v + 2*t - 20, 4*v + v - 4*t = m. Calculate the remainder when v is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 88*h**3 + 67*h**3 + 50*h**3 as v*h**3 + y*h**2 + t*h + f and give v.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304 + 1033 = 3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.894116g in tonnes?\nAnswer: 0.000002894116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 83 = -61. Solve -i + 5*v + 2 = -2, -v = u*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(384) + sqrt(384)*2)\/sqrt(12)*5 - (-4*sqrt(128)*-1)\/sqrt(4)) + -5)**2.\nAnswer: -440*sqrt(2) + 3902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13338 and -9\/4.\nAnswer: 26676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 807731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-12) - (-11)\/6. Which is the closest to z? (a) -5 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96.4 and -0.0865?\nAnswer: 8.3386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122580 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*u - 2*z, 3*u - 319 = 2*z - 298 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r**3 - r**2 - 2*r - 1. Let j be d(-1). Suppose 1033*c - 1093*c = -240. Put j, 3, c, 2 in decreasing order.\nAnswer: c, 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 6088*b - 2379087. Determine l(1501).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 734 (base 8) to base 14\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 16*k + 6. Let z be x(-8). Suppose 0 = -0*p - 2*p + z. Suppose 2*w = -5*j - 2*w + p, 0 = 2*j + 4*w - 2. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:26 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132 or 6\/2813?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2 = -a, 5*a + 5*x + 6 + 4 = 0. Let p be (1088\/24)\/(a + (-10)\/(-3)). Suppose -19 + p = j. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774549 rounded to the nearest 1000?\nAnswer: -775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 66 = -498. Let j = o + -985\/7. Sort j, 0, 0.1 in descending order.\nAnswer: j, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 - 894*k**2\/5 - 539*k + 3588\/5.\nAnswer: (k - 897)*(k - 1)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 29 = 4*v, 3*u - 11 = -5*v. Calculate the highest common factor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 1:37 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/2)\/(30\/460)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80469, -323242, -727871, -1294362, -2022721, -2912954?\nAnswer: -3965067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -5 + 2 + -4. Let v(n) = n**2 + 7*n + 6. What is the units digit of v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgghmgmvrgovgvgv. What is prob of picking 2 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -13*i**5\/20 - 10*i**3\/3 + 10*i. What is the second derivative of q(l) wrt l?\nAnswer: -78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.957 + 0.8893. Round c to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(2\/30) + 12 + -15. Let v(n) = -276*n + 72. Let z be v(s). Round z to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/28 + 18\/(-14). Let b(n) = n**3 - 2*n**2 - 4*n + 2. Let p be b(3). Are l and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113149114*k - 332243577 with respect to k.\nAnswer: 113149114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Suppose 2*s - 8 = -g + 4*s, -4*g - s + 5 = 0. Let w = g - -2. Which is the closest to 2? (a) w (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -368*m**5 + 5*m**2 + 3*m - 40. Let c(q) = q - 1. Let j(f) = -3*c(f) + l(f). What is the third derivative of j(a) wrt a?\nAnswer: -22080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 89*c**5\/30 + 2*c**4\/3 - 589*c**3\/6 - 538*c**2 - c + 5. Differentiate l(g) with respect to g.\nAnswer: 356*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**6\/120 - 2*n**5\/15 + 5*n**4\/6 - 8*n**3\/3 + 2291*n**2. Calculate h(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/10611, -0.4, 2, 4\/5, -1\/7?\nAnswer: 1\/10611","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 1\/6*g**3 + 0*g**2 - 2*g + 1. Let h(w) be the first derivative of n(w). Let y(z) = 3*z**2. Determine y(h(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 5*f + 67, -2*f - 5213*q + 606 = -0*f - 5301*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*p = -0*w + 3, 3*p = -3*w + 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3*sqrt(77) - sqrt(77)))\/sqrt(7))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from nnnnnnjn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90.4 + 90. What is the fourth biggest value in -1, 8, -2\/3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1067, -897, -723, -545, -363?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:37 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 133*b**2 + 260*b - 264. Let w be i(-131). Let p = 2 + 3. Put p, -4, w in increasing order.\nAnswer: -4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40\/2809 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-5))\/(-16) + 3871\/(-35)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 23650, 0, 3\/7, 1\/4.\nAnswer: -0.1, 0, 1\/4, 3\/7, 23650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2*v**3 + 11*b**2*v**2 + 5*b*v**3 - b*v**2 + 273803*b*v - 401894*v**3 + 2*v wrt v.\nAnswer: 18*b**2 + 30*b - 2411364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q - 2. Let x be 4\/6 - q\/((-567)\/(-60)). Let c = 0.27 + -1.27. Is c >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/24 + 834\/315 + (-160)\/100.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 71161*r - 3 + 71135*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*r**2 + 7*r**3 + 9*r**3 - 5*r**3 wrt r?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-33))\/(146375\/128810)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 128 = 5*x. What is the smallest common multiple of 11 and x\/6*(-6)\/(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and -8.4.\nAnswer: 19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11321.5 - -11322. Let r = -0.6 - -0.59. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cllclcccccllc. Give prob of sequence cccc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let x be -3 + (a - -3) - 1. Solve 1 = -x*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 - -133410443?\nAnswer: 133411100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -213 - -218. What are the prime factors of b\/(-10)*12 + 337?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 3*y)*(-99*y**4 + y**4 + 269*y**4).\nAnswer: -171*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkddk. Give prob of picking 1 k and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3203*i - 3210*i = -3*h + 219, 0 = 2*i - h + 63 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3*z + 2*f**3 + 66*f**2 - 273*f*z wrt z.\nAnswer: -2*f**3 - 273*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*m + 8 = 0, 4*m - 23 = -7. Suppose l = -3*l + f. Calculate the lowest common multiple of l and 2\/(-1)*(0 - 8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -59. Solve -4*w + 5 = -0*w + r, q*w + 15 = 3*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7\/v**(1\/7))\/(v*v*v**4*v*v\/(v*v*v*v**(-1))))\/((v**(-2\/7)\/v*v)**37\/(v**9\/((v\/(v\/v**9*v))\/v))) assuming v is positive.\nAnswer: v**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*h - 224, -d + 3*h - 1094 = 4*d. Let n = -1982\/9 - d. Is n at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/4 + 7*q**2. Let i(f) = 2*f**2. Give i(g(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:29 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190925630.\nAnswer: 2, 5, 7, 1583, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 3*a**3\/2 - 8*a**2 + 43*a. Suppose 0 = -2*p + 3 + 3. Let x be r(p). Is 2\/3 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5) + (-2300)\/(-9000)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-793)\/(-9) - (-5 + (-5 - -2)). Which is bigger: t or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 30, 1351?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 82. Let z be s(9). Let r(g) = 2*g**3 + 2*g**2 - 2*g - 3. Let x be r(-3). Let w = x + z. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058482938 rounded to 6 decimal places?\nAnswer: -0.005848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) -0.1 (c) 2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/6, 0.03, 3, -4, 1.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3) + 80\/24. Suppose -3*t + f*i - 25 + 11 = 0, 4*t + 4*i = 8. Let p be 2\/5 - (-32)\/(-180). What is the nearest to -1\/2 in t, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 9 + 4)*(-3 + 3 - 2)*(2*k - k - 3*k).\nAnswer: 140*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -106, -435, -976, -1723, -2670, -3811?\n\"Answer: g**3 - 112*g**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7276247 to 2 decimal places.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.27 and -227.\nAnswer: -288.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {k: 3, g: 2, p: 3, z: 2, j: 1, u: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 15. Let r(g) = -25*g**2 + 30*g**2 - 27*g**2 - 1 + 1. Determine v(r(l)).\nAnswer: 484*l**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20 + (-1 - -3) + 2. Let a = -20 - -54. Let w = a - n. Calculate the greatest common factor of 50 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -338, 1 in ascending order.\nAnswer: -338, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 10:21 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let d be b(-4). Let v be 1 + 12 + d + 1. Let s = v + -10. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53228?\nAnswer: 2, 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y + 41 - y**2 - y**2. Suppose 3*l + 4*h - 5*h = 0, 4*h = 2*l. Is o(l) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-192 + 192 + 57*c)*(-c - 2*c**4 - 4 + 4).\nAnswer: 228*c**5 + 114*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(-15*q + 8*q + 5*q) + 2*q + 4*q - 3*q to m*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u**2 + 0*u - 7\/4*u**4 + u**3 - 7. Find the third derivative of z(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 233195108.\nAnswer: 1632365756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019065 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116923 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: Convert 4300023101 (base 5) to base 3.\nAnswer: 121220112111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251a9 (base 13) in base 4?\nAnswer: 100230333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2))**(-3\/44)*(((o**(1\/4)\/o)\/o)\/o)\/o**(-3) assuming o is positive.\nAnswer: o**(1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4983583666.\nAnswer: 2, 173, 199, 72379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {b: 2, i: 1, q: 3, p: 6, j: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 584, 592, 600, 608?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 15 + 1. Let c(v) = v**3 + 3*v**2 - 3*v - 6. What is c(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4973*n**3 - 15*n**2 - 59*n - 6387708 wrt n?\nAnswer: 14919*n**2 - 30*n - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5*113\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.5, -471\/4, -2, 4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/25, -21, -1\/25, -5, 1, 0.4 in descending order.\nAnswer: 1, 0.4, -1\/25, -7\/25, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-1)\/(-2). Let a(g) be the second derivative of 0 + 1\/2*g**2 - 3*g + 0*g**3 + 1\/6*g**4. Calculate a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a. Suppose 2*c - h - 498 = -0*c, -2*c = -2*h - 500. Suppose r - 5*r + c = a. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/3 + j**2\/2 - 5*j - 4. What is the smallest common multiple of n(-4) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825171 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812275076.\nAnswer: 2, 241, 419, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ac6 (base 15) in base 6?\nAnswer: 411523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1001011?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155589 and 6214?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-94)\/6)\/(14\/(-3)) and 4\/(-16)*(-127)\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, -173, -55, 1 in descending order.\nAnswer: 49, 1, 0, -55, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 17. Let g be r(6). Let x = g - -20. Which is smaller: x or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13380550 - 0.01637685.\nAnswer: 13380549.98362315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 5, s: 1, z: 1, y: 2, v: 4}. Give prob of picking 2 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -215306.\nAnswer: -215306, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -5056407?\nAnswer: 17\/1685469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 51, 1, 11 in descending order.\nAnswer: 51, 11, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 times 85161?\nAnswer: -8430939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -48?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1439 - 1427. Let x = 0.2378 + 11.6722. Let d = o - x. What is d rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6621 divided by 2.\nAnswer: 6621\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s**3 - 44*s**3 - 3 + 31*s**3 + 0.\nAnswer: -35*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 8, 4 in decreasing order.\nAnswer: 8, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 44*y - 29. Calculate the remainder when u(-16) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2 (c) -0.3 (d) -13\/3 (e) -2\/7 (f) 700\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(55) - 4*(sqrt(55) + 1*sqrt(55))) - -3*sqrt(55)*-1)\/(sqrt(405)\/sqrt(9) - (sqrt(20) - sqrt(180))\/sqrt(4)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 132 + -294?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 = 23*d - 22*d, -2*d - 28 = -5*u. Solve u = 3*f + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -o + 245 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 318563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -134 + 110 - -28 - (42 + 0)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 5*s. Let x be j(4). Suppose -5 = 3*c + 5*n - 0, -x*n = 4. Solve c = -2*i + i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 764*u**2 + 757*u + 3211. Give v(383).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, -0.1 in descending order.\nAnswer: 0.2, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 416\/145 + 324\/(-4698)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2571 + 0.35702. Let i = -0.02 - 0.08. Let u = i + t. Round u to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:42 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -315 + 214. Let g = b + 101.0294. Let k = g - 0.053. Round k to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3396*b*h*v - 26*b*v - 5*b - 648*h*v + 2*h + 27153*v wrt h?\nAnswer: 3396*b*v - 648*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 smaller than 19\/613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2878964 or 2878959?\nAnswer: 2878959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-133) - 129\/(-7) - 3330\/450.\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 4, 5, -2, -5, 42001 in descending order.\nAnswer: 42001, 5, 4, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402616 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 2*m**3 - 3*m**3.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479\/24 - 61\/3. Let y = 28\/171 - 1\/19. What is the nearest to -0.01 in -0.1, y, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**3 - 6*y**2 + 6. Let t(m) = -21*m**3 + 17*m**2 - 17. Give 17*k(n) + 6*t(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 580*q**2 - 26*q + 3780. What is j(145)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 10999004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose x*i = -0*i. Suppose -5*n - 5*m = i, 2*m + 1 + 5 = 0. Solve n*b = 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - u - 41 + 11 = 0, 0 = -2*v - u + 12. Let s = v - 2. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036021419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 - 372752*n - 8684003344 = 0.\nAnswer: -46594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-756)\/36)\/(30\/(-5))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i - 13308. What is the tens digit of 2*2\/22 + i\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 385 + 45 = 220 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 + 139.1. Let i = 12.1 + v. Let o = 6 + -6. Which is the closest to i? (a) o (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q**2)*(2*q - 7*q + 15*q)*(2*q - 4 + 4).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -6*l + 120. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1980418 + 3404344 - 25444877 = -251*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-77490)\/(-2706) + (868\/(-3))\/(44\/(-18))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.55 (b) 2\/13 (c) 1.95 (d) -57\/8 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (807352\/(-6654))\/(26\/24).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -2, 29, 2\/17, 1 in decreasing order.\nAnswer: 29, 7, 1, 2\/17, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 4. Suppose 2*j = 2*k - 6, 9 = l*j + 3*k - 0. Let d = -39 - -44. Solve d*v + 3*r + 27 = 0, -3*r + 2*r - 4 = j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 187\/(-5 + -6) - -12. Sort 0.5, -2\/3, y, -2\/9 in increasing order.\nAnswer: y, -2\/3, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n. Let k(a) = -2*a**2 - a. Let y(p) = k(p) + 2*t(p). Give y(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31442*u - 3675 = 31547*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36317271587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26110 divided by 373?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from pvppv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 561 - 561. Let c(m) = 0 + m**3 + 2 - 2 - m + b*m**2 - 5*m**2 + 3. Determine c(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let q(y) = 9693004*y + 1. Give q(u(z)).\nAnswer: -9693004*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = 5*z + 9, 2*z + 11 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -285248, -570495, -855742, -1140989?\n\"Answer: -285247*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349\/213 + -2\/71. Let q = -0.9 - -0.76. Let g = -0.34 - q. What is the second biggest value in g, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/6 (c) 0.3 (d) 2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.05, -6.\nAnswer: -6, 0.05, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 118115*r + 1891120.\nAnswer: -5*(r - 16)*(r + 23639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*g + 6, 0 = 3*g + p - 1 - 8. Suppose -b - 2*s + 12 = 0, 2*s - 9 = -g*b + 5*s. Solve b*z - 38 = -14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10096 is divided by (-1)\/(3\/(-155)) + (-1230)\/1845.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22521 + 125745 = -3128*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(500) + sqrt(500))*6 - ((sqrt(120)\/sqrt(2))\/sqrt(12) + 4).\nAnswer: 2 + 119*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 - 3*y - 8. Let p be b(-3). Suppose 0*j = -4*j + 28. Suppose 0 = 9*x - j*x - p. Does 29 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 156*(0 - (-2)\/4). Let d(v) = v**3 - 3*v**2 - 12*v + 49. Let p be d(8). What is the highest common divisor of p and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 6)*(1 - 405*f + 2 + 322*f + 1 - 1 + 2*f + (-1 + 0 - 1)*(4*f - 4*f + 2*f) - f - f + f) to the form j*f + q and give j.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 6. Let y(x) = -x - 1. Let d(p) = -9*p - 2. Let m(t) = d(t) - 4*y(t). What is -8*m(c) - 3*v(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 62*y - 59*y - 44 = 0, t = -3*y + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3744630213 and 2?\nAnswer: 3744630215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(216)*-2)\/sqrt(6))\/sqrt(4)*-6)\/((sqrt(243) - (sqrt(243) + 1*sqrt(243) + sqrt(243) - sqrt(243))*6)*3).\nAnswer: -4*sqrt(3)\/99 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - r**2 - r + 6. Let n be i(0). Suppose n*c - 4*c = 8. Solve -3*v + 7 = -2*l, -5*v - c*l = -7*l - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19176)\/(-1128))\/(1\/(2\/(-2))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d. Suppose d*h + 2*h - 22 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35908, 36064, 36220, 36376?\nAnswer: 36532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -4575868?\nAnswer: 4575866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.74 * -0.02.\nAnswer: 0.1348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 - -20.6. Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*c + 3*g - 10, 4*g = -3*c - 34. Let w = 9 + c. Let t(v) = v**2 - v. Is t(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 20 - 1 = 5*o, -5*o + 3*t + 34 = 0. Suppose -4*y + y - 5*r - 40 = 0, -2*y - 20 = 2*r. Which is the second biggest value? (a) y (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boboboobbobboorbobob. What is prob of picking 1 r, 1 o, and 2 b?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 - f**2 + f. Give o(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11957375 is divided by 3759?\nAnswer: 3755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 20*j**3\/3 - 6*j**2 - 8*j + 43. Factor h(t).\nAnswer: 4*(t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/9*(-48)\/32 + 6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 214*f**3 + 8*f**2 + 47*f - 301. What are the prime factors of j(5)?\nAnswer: 2, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.121358 - 0.121358. Let n = -7 + 12. Suppose 4*d + 2*r - 28 = 0, -d + n*d = -r + 24. Sort p, -6\/5, d, -4\/5 in descending order.\nAnswer: d, p, -4\/5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150207.1 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 48, 103, 180, 279?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2001 - 6?\nAnswer: 1cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47843565 is divided by 826?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3753112 and -25\/32.\nAnswer: 15012448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 25 = -10*p + 23, 10*m = 2*p + 14*m - 60 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = -4*z, -2*z + 4*h - 1 + 5 = 0. Let g = 323 + z. Does 47 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-4)\/(8\/(-10)). Let v = i - 10. Calculate the lowest common multiple of 1 and 2 - 2 - (v - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-457230)\/(-70) - 66\/77.\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636558601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r - 1. Let h(f) = 25*f - 4. Let y(s) = -4*s**2 - 29*s - 14. Let m be y(-7). What is m*u(a) + 2*h(a)?\nAnswer: -6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9 - (-10)\/21)*(130 - 115634\/895).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87093 - 60224. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:50 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/7, 2, -2\/131?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + 15 + -12 + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2189*p**3 + 479*p + 3 - 226*p - 253*p in the form r*p**3 + v*p + m + k*p**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0 - 8*p**2 + 0*p + 0*p**3 + 1\/8*p**4. Let h(t) be the second derivative of -2*t**3\/3 + 2*t. What is h(n(l))?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(28\/(-60) - 4\/(-30)). Put h, -5, 3, -1 in ascending order.\nAnswer: -5, -1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1502*t**2 + 1230*t**2 - 65*t**2 + (-4 + 4 + 2)*(2 - t**2 - 2) - 4*t**2 + 2*t**2 + 3*t**2.\nAnswer: 2666*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeececemeecercer. Give prob of picking 1 r and 1 m.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 81*c**2 - 17*c + 2. Let w be l(2). List the prime factors of w + 0 + 5 + -5.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218197654?\nAnswer: 2, 19, 43, 745531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*c = 44807 + 14447 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let q(p) be the third derivative of 2*p**5\/15 - 9*p**2. Determine q(z(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160677 - 0?\nAnswer: 160677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + 33\/(-3) + 8. Suppose -7*k + 5*u = -5*k - 156, u = -n*k + 390. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.071, 0.1, -0.02, -1\/2 in decreasing order.\nAnswer: 4.071, 0.1, -0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 + (-15 - -1). Let j be (72\/n)\/((-4)\/90). Suppose -o = -0*o - 12. Calculate the greatest common divisor of o and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3687 + -3463.8. What is t rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 5*y + 13, -22*r = -18*r + 13*y - 35 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125776493.5 rounded to the nearest one hundred thousand?\nAnswer: 125800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2\/113, -10?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1427992 = -2*d, -13*d + 10*d = 4*o + 2142008. Round d to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4429*p - 1200. What is the units digit of r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24323311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c - 58329?\nAnswer: -58376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258343969.\nAnswer: 1258343969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 156.1. Let d = -0.1 + o. Which is the third smallest value? (a) 3\/5 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102 (base 4) in base 13?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/13536 and -59\/1441584.\nAnswer: 2883168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 350*q + 5405.\nAnswer: 5*(q + 23)*(q + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 - 6*f + 3. Let b(x) = -x**2 + x + 1. Let o(i) = -3*b(i) - k(i). Determine o(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -405060\nAnswer: 1\/81012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 108907*o + 1306893. Give z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1123 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1 + sqrt(13)) + sqrt(78)\/(sqrt(24)\/sqrt(4)))**2 + (1 + sqrt(13) + sqrt(13) + sqrt(13) + -1)*-3)*-3.\nAnswer: -159 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 8*s - 2*s + 2*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/1140 and 89\/687975.\nAnswer: 52286100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:09 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*s + 2*s. Let q be (-6)\/10 - (-2)\/5. Sort q, s, 1.\nAnswer: q, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 + 53. Is (-7116)\/d - (-4)\/22 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**4 + 1641*y**2 + 282*y.\nAnswer: -24*y**2 + 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1090 divided by 30\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*y**2 - 274*y + 274*y + (5 - 1 - 3)*(2*y**2 + 4 - 4) - 3*y**2 + 3*y**2 + y**2.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314735 + 19510 = -35*z. What are the prime factors of z?\nAnswer: 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i - 144. Let v be z(-16). Suppose -4*n = 4*o - 784, -4*n + 748 = -v*o + 27*o. Does 24 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93674, 93425, 93174, 92921, 92666, 92409, 92150?\nAnswer: 91889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0 + (3 - 3 - 2)*(5 - 3 - 3) + 0 + 1 - 3)*(-a - a + 4*a)*(28*a + 222*a - 85*a) as c*a + g + z*a**2 and give z.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1238523 and 125\/2477046.\nAnswer: 2477046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*6\/(-5))\/((-70)\/(-175)*(-10)\/(-24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75477 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 13*x - 16. Give o(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 731 = 7*c - 81. Suppose 116 + c = 2*o. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111011033322 + -30?\nAnswer: -111011100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.039 + 0.039. Let y = -2 + 1. Let k = -22 + 19. What is the third smallest value in k, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -14*q**2\/13 + 54100918*q\/13 - 108201780\/13 = 0.\nAnswer: 2, 27050445\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68940?\nAnswer: 2, 3, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243502167.\nAnswer: 3, 81167389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -27, -4.\nAnswer: -27, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 2*w - 260 + 75 as y + t*w and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*r**3 - 235*r**3 - 215*r**3 - 225*r**3 + 1120*r**3 - 221*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 6. Suppose -p - 11 = 4*b, -2*p - 18 = 3*b + 2*p. Let u be i(b). Solve -u*l + 12 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12409b (base 14) to base 7.\nAnswer: -5214254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 w when three letters picked without replacement from fnfwwwffwafffafafw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 104\/24 - (-2)\/(-3)*-1. Solve 3*f = -4*w + w + 18, -s*f + 27 = 2*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -1\/6 in ascending order.\nAnswer: -6, -2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 - 320. Solve -l*f = f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/sqrt(3) + 5 + (1*sqrt(56)\/sqrt(2))**2.\nAnswer: sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21789708?\nAnswer: 2, 3, 1815809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v**4 + 742986*v**3 + 6568153905*v**2 - 63877180500*v - 18786781500 = 0. What is v?\nAnswer: -17695, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 - 51) + (1 - 2 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/16 + (-45)\/(-2). Calculate the greatest common divisor of l and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345700164.\nAnswer: 2, 3, 617, 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/d)**(1\/4)\/(d**(-17)\/(d*(((d**2*d)\/d)\/d)\/d*d)) assuming d is positive.\nAnswer: d**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 1:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*14*(-14)\/(-3920)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 13.4. Let g = -4 - l. Which is the nearest to 2\/3? (a) -4 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p + 5*a + 7, p = a - 12. Let d be (-30)\/25*6*45\/p. Suppose -3*l - k = 4*k - d, 2*k - 8 = -l. Calculate the least common multiple of l and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 9*p + 4. Let u be y(9). Put u, 5, -4, -5 in descending order.\nAnswer: 5, u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*u - 29, -3*u - 735 = h - 704 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 2*a - 1. Let z be t(-1). Does 16 divide 2*((-1 - -9) + z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 2. Let b(f) = 5*f - 1. What is -5*b(g) - 4*x(g)?\nAnswer: -5*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - 1*-2*sqrt(121)) + (sqrt(121) - -3*sqrt(121)*3))\/(-4*3*sqrt(11)*2*4) + -4)**2.\nAnswer: 13*sqrt(11)\/12 + 149315\/9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1207303, 1207305, 1207307, 1207309, 1207311, 1207313?\nAnswer: 1207315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/10)*t**(2\/17))\/((t**(-3\/5)*t*t)\/(t\/(t**(1\/7)\/t))))**(1\/61) assuming t is positive.\nAnswer: t**(2231\/72590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -67. Is 7 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -1 + 21. Suppose y*b - 6 = 94. Let k = 359 + -199. What is the greatest common divisor of b and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422698?\nAnswer: 2, 7, 315907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.742 - 0.72. Let k = 1003.862 - 1003. Let y = j - k. What is y rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {d: 3, v: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48258 is divided by 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - -72. Suppose 11*o + 30 = s. Suppose -2*r + 2502 = -o*d, 5*r - 5*d = -7*d + 6313. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233437 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 0.3943898946311\nAnswer: 0.1056101053689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 2299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m - 5. Let b(n) = 10*n + 5. What is -5*b(h) - 4*y(h)?\nAnswer: -10*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Let h be (50\/(-75))\/(2\/(-171)). Suppose -f - 33 = -r*l + 27, 2*f = 3*l - h. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/((-9)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*o - 4*o - 4 = 0, 3*o - 6 = 0. Let c be 2*(-12)\/a*4. Let b = c - 16. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14384162 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 20*v + 41. Let u be f(-18). Solve -4*q - 3*x = -23, -3 - 2 = -u*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -582*k + 1165. Let d be q(2). Is d not equal to -3\/1865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + i = -21, 4*h - 2*i - 11 = 15. Solve b + h*w + 16 = 0, w - 2 = 3*b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359581 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: What is 470 minutes before 8:15 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-115)\/(-15) - 8 - 5\/3. Let a(o) = 6*o**2 - 11*o - 103. Let x(t) = -t**2 + 2*t + 21. Let y(q) = d*a(q) - 11*x(q). Calculate y(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 - 4. Let f(n) = 4*n**2 + 3. Let j(b) = -b**3 - 4*b**2 - b - 1. Let i be j(-4). Calculate i*v(h) + 4*f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3857*a + 2686*a - 2342 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 17 + 13. Let p = -15 + b. Let u be 2\/(-6)*18\/(-42). Sort p, u, -0.2 in descending order.\nAnswer: u, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2*h - 1607601*g*h - 2364609*h wrt g?\nAnswer: 2*g*h - 1607601*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(120)*4 - sqrt(120) - sqrt(120) - sqrt(120) - sqrt(120))\/sqrt(8))\/sqrt(5) - (sqrt(147) + 2 - sqrt(27)*6)**2).\nAnswer: -367 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 207?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3574.6 + -3574.599984499. What is l rounded to seven decimal places?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*(sqrt(156)*1 + sqrt(156)) + sqrt(156))\/((sqrt(360)\/sqrt(6))\/sqrt(5)))**2*2.\nAnswer: 12636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19190 and 185638.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 + -92. Suppose 45 = -6*i + 9*i. Suppose -4*c + 103 = i. What is the highest common divisor of c and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (308\/132)\/((-126)\/1728)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) - (-1*sqrt(76) + -5))**2 + sqrt(76) + -2 - (-3 + sqrt(76)*1 - 1*(sqrt(76) + sqrt(76) + 1*sqrt(76)))**2.\nAnswer: 14 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296674973?\nAnswer: 7, 17, 53, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-71)\/2*2 - 1. Let m = -72 - a. Suppose 5*b - 2*r - 143 = m, b - 7 = -0*b - 5*r. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 218790.5711 and -11.\nAnswer: 218779.5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11550, -23305, -35506, -48375, -62134, -77005?\n\"Answer: -37*o**3 - o**2 - 11493*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1717, 3494, 5317, 7192, 9125?\nAnswer: 11122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/4 - 350*q**2 + 34055*q\/4 + 77175.\nAnswer: 5*(q - 252)*(q - 35)*(q + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 + 584*a + 4821. Determine v(125).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9457*f = -9449*f + 464. Suppose -94 = -4*u + 134. Let m = f + u. What is the smallest value in 0, 1, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 - 46324*w\/11 - 42712800\/11.\nAnswer: -2*(w + 962)*(w + 22200)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -1 (b) -0.5 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4)\/14 + (-17)\/(-35)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*m**4 - 3*m**2 - 167*m**3 - 3 + 83*m**3 + 83*m**3 + 4 in the form u*m**2 + f + t*m + j*m**3 + h*m**4 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*p**3 + 107 - 14*p - 109 + 78*p wrt p.\nAnswer: 1488*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:40 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -484 + 449 + (-2 - -13).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*((-300)\/(-24))\/(-25)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -200 * 0.4\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) -5.8482 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 9.905. What is k rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2691 - 131c?\nAnswer: -39ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/100 - u**4\/60 - u**3\/6 - 3*u**2\/10 + 15*u. Determine q, given that x(q) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11057\/22 or 504?\nAnswer: 11057\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 283c + d?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k + 65. Give p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l - 5589 = -57*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 1, e: 1}. Give prob of sequence fe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 396765 = 396765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20684.\nAnswer: 2, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 908679967 divided by 31.\nAnswer: 29312257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*g - 23*g - 12*g - g**3 - 33*g.\nAnswer: -g**3 - 30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4731, -4732, -4733, -4734, -4735, -4736?\n\"Answer: -p - 4730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*v + 25 = 0, 0 = -4*j - 2*v + 20 + 10. Calculate the least common multiple of j and 58.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -28 + 48. Let r be (3\/9)\/((-2)\/4). Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 x when four letters picked without replacement from puuupnnxufxpnyxnuufn?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k - 137. Let j be i(11). What is the least common multiple of ((-2)\/(-2))\/(1\/(j + 6)) and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - 1*sqrt(130)*4) + sqrt(130)*2*-2)\/(sqrt(120)\/(-2*sqrt(12)*-2 + sqrt(12))))**2.\nAnswer: 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -305 and 0.05225036?\nAnswer: 305.05225036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-327 + 335)*(-105)\/24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 + 2*w + 2. Let m(q) = 4*q**2 - 2*q + 1. Let c be m(1). Suppose c*y + 7 = 4*p, 0*p = -y + p - 1. Give t(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -3, -22, 4, -271?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2568 and 78816?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0*u**4 + u**4 - 31*u - 12*u**2 - 107 + 17*u + 102 - 2*u**3 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, -115, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8067 or -8097?\nAnswer: -8067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 3. Let g = 278.354 - 278. Let d = g - -0.046. What is the biggest value in q, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.602168 millennia in years?\nAnswer: 7602.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -c + 476563, 13*h = 4*c + 11*h - 1906300. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = o. Let l(m) = -2*m**3 + 2*m**2 - m - 3. Let g be l(-1). What is k in 3*k + 4*k**g - o*k - 5*k = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 29*t - 101*t + 67*t.\nAnswer: -5*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*i - 17, -t + 26 = -3*t - 4*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6007 + 15327. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 999160, -4, -2, 20, 5, -1.\nAnswer: -4, -3, -2, -1, 5, 20, 999160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2881260 and 19260.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*x**3 - 107*x**2 + 107*x**2 + 6*x**3.\nAnswer: 357*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 268503031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368587894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (60 + -61) - (-1 + -111)) + 23.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 660*y**2 - 5040*y - 9920.\nAnswer: -5*(y + 4)**2*(y + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13985 = 346*m - 8186 - 1252 + 933 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = -9. Let d be -2 + (-119220)\/(-4) + n. Suppose y - 3*y = d. What is y rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from {p: 7, v: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(((-16520)\/(-300))\/(-59))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/4 - 3*t**3 + 4*t**2 + 6*t - 4. Is j(8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276790 plus 1608616?\nAnswer: 7885406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67806 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l + 5*s, -2*l + s = -4*s + 5. Let r(i) = -i + 3. Let n(w) = -w**3 + 3*w + 3. Calculate the remainder when n(-3) is divided by r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y*y**(-6)))*y*y\/((((y*y\/y**(-4))\/y)\/y)\/y)*(y**1*y*y)**41*(y*y\/y**3)\/(y**(-3)*y)*y**(5\/4)*y*y**(-4\/3) assuming y is positive.\nAnswer: y**(1427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -1 - 3. Let w(g) = 5*g. Let b be w(v). Suppose 2*z + y + 1251 = -2449, b*y = 0. Round z to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -94, -30 in descending order.\nAnswer: 0, -2, -30, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1526*y**2. Let t(l) = 2*l**2. What is t(m(j))?\nAnswer: 4657352*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**8\/20160 - m**6\/720 + m**5\/20 - 5*m**4\/24 - 18*m**2. Let i(b) be the third derivative of w(b). What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10331694?\nAnswer: 2, 3, 101, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose g*q + 1 - 11 = 0. Find the third derivative of -11*x**6 + 0*x**q + 14*x**4 - 7*x**2 - 14*x**4 wrt x.\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 1032?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635329803 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.401066873 and 9627.\nAnswer: 9627.401066873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/11 and 56\/90451569.\nAnswer: 994967259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61275, -61274, -61273?\n\"Answer: g - 61276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 44. Let u = -59 + z. Let k be -7*2*(-2)\/u. Are k and 3\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a*f**3*l*x + 3*a*f**3*x + 2*a*f**3 + a*f*l*x - 2*a*l*x - 4*a*x wrt l?\nAnswer: -5*a*f**3*x + a*f*x - 2*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**2 - 119*n + 56. What is the hundreds digit of q(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.969988 to 2 decimal places.\nAnswer: -37.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w = -11*d - 57*w + 8, 2 = d - w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 2. Suppose 3 + 2 = i. Let w = m - i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -94*w + 54. Let a(m) = 4*m**2. Give a(j(l)).\nAnswer: 35344*l**2 - 40608*l + 11664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/5)*t)\/t**(-2\/35))\/((t*t*t*t**(-14)*t)\/((t*t**(-2\/3))\/t)) assuming t is positive.\nAnswer: t**(193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in -2151, -19\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -9577\nAnswer: 258579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*(t*t**2)\/t))**(-4))**(4\/5))**1)**33 assuming t is positive.\nAnswer: t**(1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4578651254865 - 6.\nAnswer: 4578651254859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -3 (c) 2\/5 (d) 2\/23 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 106*j**2 - 578*j - 47. Let r(s) = 7*s. Give r(m(z)).\nAnswer: 742*z**2 - 4046*z - 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 202*y**2 - 1351*y + 1734. Calculate m(-195).\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 2*t + 86. List the prime factors of f(0).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4624618123 and 0.05493.\nAnswer: 4624618123.05493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h, -2*h + 47 + 13 = 4*r. Let s be (-6)\/39 - (-2)\/r. Let i(c) = c**3 + c**2 + c + 31. Is i(s) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938*u - 35 = -945*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 2*r**2 + 0*r**2 + (2*r - 2*r - 2*r)*(19 + 2*r - 19) - 40*r**2 - 37*r**2 + 104*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*u + 102 = 113*u - j, -2*u = 2*j - 102. Solve u*y + 138 = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 10*t**2 - 9*t - 1. Determine f(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8467348*z**2 - 3604*z + 983.\nAnswer: -16934696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -632ab1 (base 13) to base 10.\nAnswer: -2319669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/7489176 and 35\/284?\nAnswer: 531731496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -15*c + 214. Let r be l(14). Solve 11 = 3*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1737)\/(-6) + 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 - 25. Suppose 7*m = 2*m - 5*v - 160, -5*m - s = -5*v. Which is greater: m or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*u = 0, -u = -4*i + 916. Let j = i - 2500\/11. Calculate the common denominator of -52\/5 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u - 18*i + 27, 0 = -4*u - 5*i + 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 6*m**2 - 7*m - 5. Let a(b) = 7*b**3 - 13*b**2 - 13*b - 11. Let g(y) = -6*a(y) + 13*x(y). Is g(3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*r, -2*r = -3*o - o. Suppose 5*t = -o*t + 90. Suppose 138 = 4*g - t. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175887 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:47 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 25656.9.\nAnswer: 25654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-3)\/(-6)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9352 and 1232.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 - 2*q - 1. Suppose 5*l + 3*h + 36 = 0, 5*h = -203*l + 201*l - 41. What is d(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12498750 and 1010?\nAnswer: 12498750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -5.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 2 - 5*a - 6*a**2 - a + a**3. Let x be w(6). What is x rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 6*b - 181. Calculate x(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/69*6)\/(54\/414).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 14\/4) + -2. Which is the second smallest value? (a) 11 (b) 0.1 (c) 0 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 k when three letters picked without replacement from {y: 2, k: 2, h: 1, l: 1, p: 2, x: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -197, 2.7, -490.\nAnswer: -490, -197, -1\/3, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*3 + sqrt(480) + sqrt(480) - (sqrt(270)*-1 + sqrt(270) - sqrt(30)))\/((sqrt(66) - (sqrt(66) + sqrt(66)*1 + sqrt(66))*2)\/(sqrt(275)*2)))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 72*d**2 - 8*d + 1. Let h(b) = -24*b**2 + 2*b. Determine 7*h(c) + 2*s(c).\nAnswer: -24*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + -0.05. Let o = -2.6 + s. Let d = 2 + 3. What is the second biggest value in o, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16317 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/15 + (-24)\/(-5). What is the third derivative of -5*d**2 - d**2 + 0*d - 5*d**r + 0*d wrt d?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)*j)**(-9\/2) assuming j is positive.\nAnswer: j**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-17)\/(p\/p**(-1\/7)))**(-8\/11))**(-4) assuming p is positive.\nAnswer: p**(-4064\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9259 and 12729.07.\nAnswer: 21988.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 107*p + 716. What is n(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -2.1. Let d = -5.1 + 1.1. What is the biggest value in d, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad42 (base 15) to base 10.\nAnswer: -36737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -123400 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -612 times -118226\nAnswer: 72354312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.6 or -30.5864?\nAnswer: -30.5864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -340, -335, -328, -319?\n\"Answer: i**2 + 2*i - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 18.\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*k**3 + 1125*k**3 - 734*k**3 - 418*k**3.\nAnswer: -348*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + 2 + 2 + 2 + sqrt(72) + sqrt(72) + sqrt(72))**2*2.\nAnswer: 504*sqrt(2) + 1394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369, 1186, 2555, 4476, 6949?\nAnswer: 9974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7582, -37580, -89996, -164830, -262082?\n\"Answer: -11209*g**2 + 3629*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4165*y + 6746 wrt y.\nAnswer: 4165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17847679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/60 + 3*o**4\/8 + 13*o**3\/6 - o**2. Let x be z(10). Let v = 10 - 14. Sort -3, x, v in ascending order.\nAnswer: v, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 313, 322, 363, 442, 565?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -1\/8, 6, -0.05?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -169, -382, -681, -1066, -1537?\n\"Answer: -43*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.26? (a) -1 (b) -4867 (c) 0.1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21887\/3 + 7295. Let p = -13 + 13. Put 13, p, 0.4, c in descending order.\nAnswer: 13, 0.4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023128144.\nAnswer: 2, 37, 1728257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one eighths of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 6*u + 1. Let w be d(7). Find the common denominator of (-302)\/(-104) - w\/52 and -17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591 divided by -122?\nAnswer: 591\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 2?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118614, -951574, -3212450, -7615200, -14873782, -25702154?\nAnswer: -40814274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 7*f - 1. Let d(r) = r**2 + 10*r + 8. Let q(p) = -8*p - 9. Let g(b) = 6*d(b) + 5*q(b). Determine 3*g(m) + 8*y(m).\nAnswer: 2*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 22 = 3*c. What is the second derivative of c*b**4 + b - 8*b + 5*b wrt b?\nAnswer: 132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(448) - (sqrt(448) + -1)*4) + (sqrt(448) - (sqrt(448) + (sqrt(448) + sqrt(448)*2)*-3 - sqrt(448)))**2 + 4.\nAnswer: -24*sqrt(7) + 44805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 20*f. Let o(k) be the second derivative of -k**4\/12 - 6*k. Determine o(c(b)).\nAnswer: -b**4 - 40*b**3 - 400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00780348 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 39600 (base 11) to base 5\nAnswer: 3303003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324373 by 1963.\nAnswer: -324373\/1963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g - 2*g + 5*g - 4*g + 0*g + (27*g - 7*g - 13*g)*(5 - 1 - 2) + 2*g - 2*g - 5*g - 1 + (3 + 3 - 5)*(-3*g + 0*g + 2*g) + 2*g + g - g.\nAnswer: 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.35, 0.6, 1\/7, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d - 2. Let j be o(-4). Suppose 0 = -4*z + 7 + 1. Suppose 3*x - z = 2*x. Sort j, x, 4 in increasing order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20156855 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 3247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-12))\/11*(-4)\/(-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105 + -105)*(-1 - (-3)\/2). Solve j = -11*k - 12 - 43 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6*j - 2*j + 8*j. Let x(l) = -l - 52. Give z(x(d)).\nAnswer: d + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20469, -20544, -20623, -20706?\n\"Answer: -2*k**2 - 69*k - 20398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 55196 + 32*v - 55195 - 31*v in the form h + i*v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3cc (base 14) to base 3\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512 is divided by 128.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -364 - 0?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 604*w**2 + 1848*w.\nAnswer: -4*w*(w - 154)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by -23\nAnswer: -533\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*m**3 - 13*m**3 + 0*m**3 + 0*m**3 + 2*m**3 - 4*m**3 - 4*m**3 + 2*m**3 + m**3 + (1 - 1 + 2*m**2)*(3*m - 5*m + m) - 3*m**3 + m**3 + 4*m**3.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101000000100011101 (base 2) to base 15.\nAnswer: 13b9a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 206 and 0.2?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**6))\/c**14)\/((c\/(c\/(c**(14\/9)\/c)))\/c*c**30*c) assuming c is positive.\nAnswer: c**(-338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51946 and 8474.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2304*k - 7665 wrt k.\nAnswer: -2304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 16. Suppose -4*q + 3*l - 23 = 2*l, 35 = -4*q + 5*l. Give k(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122000220 (base 3) in base 4?\nAnswer: -13311210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 188991*x - 165738*x + 16 + 682567*x. Let b be h(-6). Let f = -10065096 + b. Round f to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)*p)**28)**47 assuming p is positive.\nAnswer: p**1316","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 6*i**2 - 2. Let l be j(4). Let w = -30 - l. Suppose 3*q + 7*r = w*r + 21, -3*r = -9. Solve -2 = q*b - 2*m + 8, 4*b = -3*m - 35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 + 4.64. Let w = d + 0.2599843. What is w rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**2\/5 - 3396*i\/5 - 6612.\nAnswer: -3*(i + 10)*(3*i + 1102)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1034, -3956, -8834, -15674, -24482, -35264, -48026?\n\"Answer: -t**3 - 972*t**2 + t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -0.2 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302322 - -474645449\/1570. What is the common denominator of k and 28\/15?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9830 times 4\nAnswer: 39320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + sqrt(60)\/(sqrt(12)*2)) + 5.\nAnswer: 5 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 2. Let d = 164.4 - 26.4. Let z = 135 - d. What is the closest to -0.3 in 0.4, z, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 4\/7 (c) -4 (d) -67 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 3*o - 38 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 1057*k**2 + 63*k + 9. Let q(t) = 4*t**3 + 3700*t**2 - 224*t - 32. What is 32*g(p) + 9*q(p)?\nAnswer: 4*p**3 - 524*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + (sqrt(175)*-3)**2 + 1.\nAnswer: 5*sqrt(7) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l\/(l\/(l\/(l**(-1\/4)*l))))\/l)\/l*l)**8*(l**(-2))**(9\/7) assuming l is positive.\nAnswer: l**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(5) + -5.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 1\/7, -4, -1\/4, 465, 2\/11 in descending order.\nAnswer: 465, 212, 2\/11, 1\/7, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*c + 1 + 7, w = 3*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 844 - 861. Is 2091\/u*(-1)\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 12*s**2 + 44*s - 80. Calculate the lowest common multiple of 460 and f(8).\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = 3*r, -3*r - 26 = 6*w - 2*w. Let p = -8 - r. Sort 3, p, 1 in decreasing order.\nAnswer: 3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7872 + 7859. Is f greater than or equal to 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2231 and 1458?\nAnswer: -3252798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38868102 by -427.\nAnswer: -91026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -39, -0.4, 4, -11\/5 in ascending order.\nAnswer: -39, -11\/5, -0.4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4578927505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 1068\nAnswer: 9\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 522341, 522340, 522339, 522338, 522337?\n\"Answer: -h + 522342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5953 is divided by 132?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -4, -309, -2 in descending order.\nAnswer: 5, -1, -2, -4, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 49, 89, 143?\n\"Answer: 7*d**2 + 5*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + a + 45 = 0, -43 = g - 5*a - 16. Let l be (-6)\/15 - g\/5. Suppose 0 = -0*s + s. Solve -3*r - l*r - 25 = s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/21)\/(2\/(-45))*8\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.243 + -0.5?\nAnswer: -3.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 30*x**3 + 108*x**2 + 162*x + 81.\nAnswer: 3*(x + 1)*(x + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 + 5*f**2 - 29*f**2 + 9*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114946 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 56*i**2 + 240*i - 288.\nAnswer: 4*(i - 6)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161795.\nAnswer: 5, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 + 11*p + 3. What is a(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -943190?\nAnswer: -943190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 6 = -10*b. Let k(f) = 7 + b*f - 6*f**2 - 10*f + 4*f**3 + 1. Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**3 + 2*f**2 + f - 2. Let p be h(1). Let y = -0.2 + -0.3. Which is the closest to 3\/10? (a) p (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 753565910 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 212.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from vvppspp?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 324220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = 30 + 28. What is the closest to -4 in -0.2, -2\/9, 1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**4 - t**3 - t**2 + t + 2. Let n(u) = -7*u**4 - 155*u**2 - 6*u - 12. Let w(o) = -6*g(o) - n(o). What is the third derivative of w(r) wrt r?\nAnswer: 312*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b. Let j(l) = 298*l**2. Calculate j(z(x)).\nAnswer: 19072*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3310 divided by -9.\nAnswer: -3310\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 40 - 69)*(-2 + 4 - 1)*(-2 + 17 + 2*x - 5) as l + a*x and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*144\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5 - 57*j**4 + 4035*j**3 + 4089*j**2 = 0.\nAnswer: -47, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111111120220 - 2?\nAnswer: -10111111120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {n: 1, f: 6, o: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 2*4*(-1 + (sqrt(1088) - (sqrt(1088) + -3 + sqrt(1088)))*-5*-2)))**2.\nAnswer: -10874880*sqrt(17) + 252680256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 43*g**2\/2 - 21*g.\nAnswer: -g*(g + 1)*(g + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5669522.9 rounded to the nearest ten thousand?\nAnswer: -5670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544035 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35542 - -103300?\nAnswer: 143242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185 divided by -32694?\nAnswer: 395\/10898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 75*k**2 + 35*k - 89. Let m be u(-38). Suppose 5*p = -m, 3*d + 3*p + 3 = 2*d. Let a be -1*4\/(-2) + -2. Solve -4*h + 8*h - d = a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17026566677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s**2 + 65*s + 105. Let v(z) = -5*z**2 - 32*z - 53. Let h(d) = 3*b(d) + 5*v(d). Factor h(q).\nAnswer: 5*(q + 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/120*d**6 - 2*d**2 + 1\/24*d**4 + 0 - 7\/60*d**5 - 1\/6*d**3 + 0*d. List the prime factors of m(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21078450 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 400*v**3\/3 + 40*v**2\/3 - 93*v + 27.\nAnswer: (v + 1)*(20*v - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 209*v - 123*v + 86*v + 159*v.\nAnswer: 331*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 - 89. Let a = x + -37. Suppose 0 = 3*y - 0*y - a. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 - 4*f - 6. Let s be c(3). Let r be (-13 - s\/6)*1. Let t(k) = k + 18. What is t(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:03 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + 1101?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 0 - (-1438 + 1441) - (3 + -65).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-52))\/(348\/(-754)))\/(33\/(-24)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/4005 and -36 + 284\/8 - (1 + 377\/(-267)).\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339.\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, v: 4, j: 4}. What is prob of sequence vj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(sqrt(68)\/sqrt(4)*-3 + 3 - (-3 + sqrt(17) + sqrt(1088) + 3)).\nAnswer: -72 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695577.5 seconds to microseconds.\nAnswer: 695577500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4190973917\/1338138 - -7\/223023. Let a = 3133 + u. Let h = a - 193\/72. Find the common denominator of h and 53\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-712)\/(-623)*14\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9691?\nAnswer: 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - 21*k**3 + 20*k + 4*k**2 - 2*k**2 - 1 - 11*k - 3*k - k**4 in the form u*k**3 + j*k**2 + r*k + y*k**4 + s and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15260 - -16537. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2190 and 97\/1769520?\nAnswer: 1769520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2. Let v(j) be the first derivative of -2*j**2 + 150. Calculate v(a(w)).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -582 + 559 - (-4 + -45)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 0.9, -4, -411, 180\/13?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1144613366 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -50. Suppose k*f - 28*f = -16. Solve 0*u - f = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -793, -800, -807?\n\"Answer: -7*r - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 - 2 = 0. Suppose 0 = 5*b, y*j + 5*b - 6 = b. Sort 3, -1, j in descending order.\nAnswer: 3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 136635*n**2 - 1912155*n + 6691685.\nAnswer: -5*(n - 27313)*(n - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (0 + 52 + 56 + 47 + -113)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8 + 7 - 14. Let b(i) = 2*i + 5. Suppose 10*t + 5 = 5*t. What is t*b(r) + 6*a(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(6))\/sqrt(2) - sqrt(16)\/(sqrt(32)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 82, 80, 78?\n\"Answer: -2*s + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 2*n**2 - n + 2*n - n - 2. Let q be c(-2). Is 235 + (1 + -3 - q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**5*f*f**(-2\/17))\/((f\/f**(-8))\/f)**43 assuming f is positive.\nAnswer: f**(-5714\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1837047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.042 and 1675.4.\nAnswer: -70.3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -32214, 2, -0.4, 5\/4, -1\/4, -4\/7?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:41 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:56 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-20))\/(8\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -221, 3 in increasing order.\nAnswer: -221, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119625 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 1. Determine p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 44 + 51 = 0. Suppose 4 - r = -3*b. Suppose b*q - 56 - 9 = 0. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176601?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(19\/2))**(-1\/30))**21 assuming c is positive.\nAnswer: c**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -454*v - 18. Let m be j(9). Let o be 1 + 2 + m - -1. Round o to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/3)\/(-1) + 6. Suppose 0 = -4*b + x + 2, v + b - 4 = 0. Differentiate -11 + 5 + 15*z**v + 24 - 1 wrt z.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 - 275. Solve -36 + 26 = i*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 424913 + 190?\nAnswer: 425103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -2.7. Let c = -3.2 + o. Let f = -0.0942 - 15.9058. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p. Let q = 0 + p. Solve 4*l + 16 = -q*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)*d*d*d*d**(1\/11))\/(d**(-4))**(-1\/22) assuming d is positive.\nAnswer: d**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007675259 rounded to 6 dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.111, 1\/4, -14359, -0.8?\nAnswer: -14359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0331 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 314120507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 3*v. Let r be c(3). Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g - 22 + 82 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*n - 4, 3*c = 4*c - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 17*n**2 - 19*n - 20. Let i be p(-18). Let o be i\/14 + (-16)\/(-14). Let z be (((-36)\/8)\/(-3))\/(o\/14). Put z, -5, -2 in descending order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17114 equal to -17115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -512592 and -1?\nAnswer: 512592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 133\/(-140) - 6\/(-8). Let r be 2\/6*6\/(-18). What is the third smallest value in x, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 1.67.\nAnswer: 17.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-32)*5\/((-165)\/(-4))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 134*c + 5164. Give q(-31).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67102532 and 10923668.\nAnswer: 469717724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 58*z - 56*z - 48, -5*t + 38 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*k - 1 - 27, 4*y + 150 = 3*k. Let v = y + 69. Suppose -v = -3*c - n, 0 = -c - 2*n + 22 - 6. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*v - 9251 + 2680, 3*v + 6 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -7. Suppose 0 = 3*l - b, 7*o - 2*o + 71 = -2*l. Let v be -1*(-2 + (-33)\/o). Sort 5\/2, 3\/8, v in decreasing order.\nAnswer: 5\/2, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.907 - 0.093. Let c = -7 + 4. Let j = c + 6. Do d and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7291, -14533, -21707, -28777, -35707, -42461, -49003, -55297?\nAnswer: -61307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 688 + 38 = 0. Let d = 53 - t. Solve d*v + 10 - 2 = m, 4*m - 18 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 249*b - 2200. Give v(8).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.055 + -4.945. Let a = -0.0312 + -0.2098. Let y = a + 0.041. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n + 14 - 12)*(-n + 3 - 3)*(13*n - 25*n + 18*n).\nAnswer: -12*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-522 + 14*k + 524 - 19*k**2 + 16*k**2)*(-3*k + 4*k + 3*k).\nAnswer: -12*k**3 + 56*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - b43b9?\nAnswer: -b43b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 53 - 57 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {g: 2, l: 1, f: 8, v: 5, h: 3}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1 - (-63)\/21. Suppose 2*b + 1512 = a*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**8\/8960 + v**7\/1680 + v**4\/6 - 2*v. Let c(m) be the third derivative of a(m). Factor c(i).\nAnswer: 3*i**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151374 divided by -50458\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -12*w + 649. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 45, -825 in increasing order.\nAnswer: -825, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 + 21 - (-27 + -30 + 60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**2 + 0*x**2 + 7*x - x**2 + 3*x**2 wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -1373?\nAnswer: -20\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 0.2, -1\/3, -2 in increasing order.\nAnswer: -11, -2, -1\/3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 545.552ms in nanoseconds?\nAnswer: 545552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*a + 4*y + 5, 5*a = -2*y + 30. Let m(n) be the third derivative of 5*n**4\/24 - 5*n**3\/3 + 11*n**2. Let h be m(3). Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 8190*n**2 - 11179350*n + 5086604250.\nAnswer: -2*(n - 1365)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5051 is divided by 2520.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/((-44)\/4)*1 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7764 and 175984?\nAnswer: 527952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 7 - 2*f**2 + 8*f**2 + 1. Let y(n) = -12*n**2 - 5*n - 2. Let x(r) = 19*r**2 + 7*r + 2. Let a(i) = -2*x(i) - 3*y(i). What is 8*a(c) + 3*j(c)?\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d, -4*o + 3 = -d + 2*d. Suppose -5*x - 87 - 31 = 4*n, n - x + 34 = o. Let b be (-3)\/2*n\/24. Solve -m = -2*m - b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - 7\/(-3). Suppose -h = -u - 0. Suppose -h*j + 623 = 5*k, -3*j - j + 619 = 5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40706.1 rounded to the nearest 100?\nAnswer: -40700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4*f**2 - 3*f**2 + 0*f**2.\nAnswer: f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*l - 133*l**3 - 2*l**2 + 74*l**3 + 10 + 56*l**3 in the form v*l + i*l**3 + d + b*l**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527351 (base 14) to base 15.\nAnswer: 3a0664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.66 + 678.66. Is -0.1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1566*p - 2 - 2 + 4.\nAnswer: 1566*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26968 - -450?\nAnswer: -26518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50656 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/(-205))\/((-24)\/(-390)*5\/(-20)*-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398.9999793 - -399. What is p rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r. Let b be v(-2). Let y = 12 - 6. Let n = b - y. Sort n, 1, -1.\nAnswer: -1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13036082 to the nearest integer?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 44. Suppose 4*s + x = -24, -6*x = 5*s - 4*x + 33. Let g be -2 + h + (s - -1). Sort -5, 9, g in increasing order.\nAnswer: -5, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 12, q: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -185. What is the highest common divisor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**1\/h**(-4) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1534 - 1534. Suppose 4*r + 0 = -4. What is the closest to h in 2, r, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbnpbbnp. Give prob of sequence pn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.479, -151 in decreasing order.\nAnswer: 0.479, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 - 308 = 3*z - 5*p, -5*z + 3*p - 32 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -273\/8 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -354?\nAnswer: 8850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 161 - 249. Let x = -0.0778 - 87.6672. Let b = x - w. What is b rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 447 and -0.012547.\nAnswer: -5.608509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 0*f - 5 + 3\/4*f**4 + 2*f**2 + 9\/2*f**3 + 1\/20*f**5. Let c(p) be the second derivative of l(p). Let c(w) = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32120 (base 4) to base 5.\nAnswer: -12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 239*x**3 - 3*x - 3. Let u(h) = 6930*h**3 - 88*h - 88. Give 88*t(r) - 3*u(r).\nAnswer: 242*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218217?\nAnswer: 7, 11, 13, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**3 + 12*z**2 + 31*z - 27. Let b be m(11). Let q = -7339 - b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-751 - 1)\/(-2) - 4. Suppose -t = s - 5*s. Suppose -3*j = -3*f - 7*j + 50, -3*j - s = -5*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2142*z**2 - 1951*z**2 + 4098*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(605)*2 - (((sqrt(20) + 3)**2 - sqrt(5)) + sqrt(5)) - (-3 + sqrt(5)*2 - ((sqrt(5) - (0 + sqrt(5))) + 2 - sqrt(5)))).\nAnswer: -7*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 82?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4040?\nAnswer: 4036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 2 - 3*z - 5*z. Let i be x(-8). Suppose 0*n = -4*n + 16, i = 5*w - 3*n. What is the highest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d - 40*d = 77*d. Factor 2\/3*k**2 + 0*k + d.\nAnswer: 2*k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 137? (a) 3\/64 (b) 142 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 84 - (536 - 745).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9456 is divided by 2348?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 11*o - 9. Let i(s) = -s**2 + s + 1. Let v(u) = -4*i(u) - r(u). Let q = 1 - -3. What is the remainder when 50 is divided by v(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiouoooiiiuouioooui. Give prob of picking 1 u and 3 o.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let q(h) = -h**3 - 5*h**2 - 5*h + 1. Let p(v) = q(v) - 2*r(v). Let a be p(-4). Let k = a + 11. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -354*x - 2421. Let y be d(-7). Solve 111 - y = -27*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -27*u - 5. Suppose -3*c = 2*p + 80, -p - 4*c = -2*p - 40. Let j = -45 - p. Is t(j) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 4:44 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-986) + 539\/(-5593)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let l(w) = -w**2 + 16*w - 25. Let g(h) = l(h) + 2*t(h). Let f = 9 - 4. What is the smallest common multiple of g(16) and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + t + 5. Give c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2614 is divided by 856?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30172.\nAnswer: 2, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032358 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7902093 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*p = 87 + 215, p + 622 = 2*q. Calculate the remainder when 95 is divided by q\/20 - (12\/(-5))\/6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 24. Suppose 37 = 4*t - c. Calculate the highest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636276.\nAnswer: 2, 3, 17, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.836 + -3.11. Let t = f + 0.374. What is the closest to -0.5 in 0, t, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 20. Let f be ((-4)\/4)\/((-6)\/24). Suppose 0 = -4*d - f*s - 64, 15 = -2*d + 4*s + 1. Determine g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6 - (-1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*f**2 - 2*f**2 + 0 - 53*f**2.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -7.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 53 - 1\/2*v**2 + 3*v. Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y - 5. Let p be c(7). Let i = 1.07 + -3.07. Put i, p, -3 in descending order.\nAnswer: p, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2831 - -4375. List the prime factors of s.\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/60253 - 3132472\/10303263. What is the common denominator of 57\/5 and b?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238716 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1896775.34 * -1\nAnswer: 1896775.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*h + 55, 3*h + h - 50 = -2*z. Let g = 17 - h. Is g at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*j**4 + 328*j**3 + 30560*j**2 wrt j?\nAnswer: -360*j + 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/12 + m**3\/3 - 11*m**2 + 8*m - 17. Let g(w) be the first derivative of z(w). What is the tens digit of g(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 2:27 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365501.\nAnswer: 317, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 - 269*z**4 - 421*z wrt z.\nAnswer: 20*z**3 - 3228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 2. Let p be -3 + 7 + 2 + -1. Suppose 2*k + 2*m - 36 = 0, -m = -p*k - 4*m + 98. Calculate the least common multiple of k and g(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)*w*w**(-1\/6))**(-3))**(7\/4) assuming w is positive.\nAnswer: w**(259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-100)\/(-5))*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -356, -337, -306, -263, -208?\n\"Answer: 6*j**2 + j - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204365561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4092\/620 - (22\/20 + 2\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1 (c) -5 (d) -0.29 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -747*b**2 + 16. Let r(z) = 249*z**2 - 6. Let k(x) = -7*r(x) - 2*w(x). What is the first derivative of k(f) wrt f?\nAnswer: -498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121152.\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (-50 - (91 + 20)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s - 60. Determine k(-27).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890700 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7*h + 776. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1373, 1, -4 in decreasing order.\nAnswer: 1, -4, -1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 869.1 + -869. What is the closest to w in 1, -11\/3, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8188357 decades?\nAnswer: 8.188357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-13.3.\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097 plus -69550?\nAnswer: -69550.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 45. Let v be x(-9). Solve -2 = -v*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16077475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -7, -2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31418 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 137*u**2 - 3 + 1 + 1 as a*u + y + m*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444005353 (base 6) to base 8.\nAnswer: -36473705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2315*a + 2. Let g(c) = 10111*c. Give h(g(k)).\nAnswer: -23406965*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, -1, -3, 4 in ascending order.\nAnswer: -4, -3, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 619?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18 + (-5)\/((-10)\/(-4)). Suppose -g - g = 5*y - 16, 2*y - k = -2*g. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690883825 to the power of 1\/2, to the nearest integer?\nAnswer: 41120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*b + 49 + 77*b + 179*b**3 - 184*b**3 + 189 - 28*b wrt b?\nAnswer: -15*b**2 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*t + 2138*t + 1371*t + 164430 = -37*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*d**3 + 911*d**3 - 52 + 116 - d**3 - 64.\nAnswer: 1092*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 + -1.3. Let o = 0.7 + 3.3. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 67 - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/3)*s\/(s*s**(8\/5)*s))**(-2\/49))**(2\/93) assuming s is positive.\nAnswer: s**(76\/68355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2. Let u(l) = -18*l**3 - 20*l**2 + 10. What is 5*m(k) - u(k)?\nAnswer: 13*k**3 + 20*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.102, -0.03, 61, 5, 2, -5 in descending order.\nAnswer: 61, 5, 2, -0.03, -0.102, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -41 + 41 + 7 + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 0.06 (c) -0.3 (d) 370\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2 - 12719*c - 84830?\nAnswer: 4*c - 12719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 48*o - 270. Let z be j(6). Calculate the greatest common factor of z and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:42 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 26\/(-16))*((-368)\/(-69))\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -23*a + 27*a - 30, -3*a + 5*i = -8. Let m = -126 - -186. What is the smallest common multiple of a - (12\/2 + (-200)\/40) and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let x(o) = -o**3 - 25*o**2 - o - 3. Let j = -155 - -130. Let c be x(j). What is the greatest common divisor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n**2 + 6*n - 7. Give w(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/15 - (-4)\/(-10). Suppose -4 = -v*q + 16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 260. Let m = 218 + q. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 - 211*o + 351. What is r(-44)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4967159*m**4 - 7170787*m wrt m?\nAnswer: 59605908*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-3)\/24*(-78)\/(-14)*(-8599)\/(-8599)\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -54. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*o - 4336, 23*h - 6501 = 20*h - 5*o. Calculate the highest common factor of 46 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 6*v**2 - 2*v - 6. What is the units digit of h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(1872))**2 - sqrt(1872) - ((sqrt(143)*2)\/sqrt(11) + -2*sqrt(13) + 2)**2.\nAnswer: -60*sqrt(13) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/101, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71195 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + (sqrt(432) + 1 + sqrt(432) + -2 + sqrt(432))**2 + -2) + -4)*4.\nAnswer: -31144 + 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3244 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802444321?\nAnswer: 5639, 319639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2499429 and 119678?\nAnswer: 64985154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6306442273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836516077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 36. What is the units digit of (-8)\/4*q\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131014753\/94086 + -1\/47043. Let j = -1434 - u. What is the common denominator of j and 17\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832 - -828. What is the second smallest value in d, -3, -76?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.25 + 2167189247?\nAnswer: 2167189349.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 2. Let l be o*1 + 2 + 97. Let z = l + -49. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1 - (-14 + -18). Find the second derivative of 7*d + 3*d**3 - 13*d**3 - f*d wrt d.\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 262, 266, 270, 274, 278?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256425 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 11. Let o be m(-14). What is the third derivative of -3*r**2 - 4*r**3 + r**4 + 4*r**o + 4*r**4 wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 551*r**2 + 565*r**2 - 1102*r**2 + 1 - 2*r**4 - 26*r**3 to p*r**4 + j*r**3 + f + m*r**2 + l*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -5*t**2 - t - 8. Determine r(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*i - 5. Let g = i - -2. Suppose 0 = g*b - 2 - 8. Solve b*h = -2*o + o - 9, -3*o - h = 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6961, -13926, -20891?\nAnswer: -27856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t + 233*t + 3705 = -102*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 3*i + 21, -55*x = -57*x - 5*i + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -22.62. Let h = p - 28.62. Let w = -26 - h. What is the fourth smallest value in -1, w, 1, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -36*y + 2269. Let s be d(64). Which is greater: -524\/15 or s?\nAnswer: -524\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g + 9. Let p = 9 - 15. Let r be v(p). What is the hundreds digit of 1960\/12*r*6\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)*k**(5\/2)\/k assuming k is positive.\nAnswer: k**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 352883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 3*q - 41*q - 5*q - 1. Let d(y) be the second derivative of -y**3\/6 + 4*y. What is f(d(n))?\nAnswer: 40*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1896?\nAnswer: -7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 - f**3)*(3*f**2 - 4*f + 4*f) + (-2*f - f**4 + 2*f)*(-2 + 2 + 2*f).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1284*b**2*s**3 - b**2 + 127*b*s + 14*b + 16316 wrt s.\nAnswer: 3852*b**2*s**2 + 127*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03032 * -180\nAnswer: 5.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o - 1 + 3*o + 1.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 4*f**2 + 6*f**2 - 6*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8633329.\nAnswer: 29, 41, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((-50)\/15 - -4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.16 + 92.85. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**3 - 26*v**2 - 5*v + 25. Let r be x(7). What is the greatest common factor of r and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 23727.\nAnswer: -13\/23727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54726942 to 2 decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (2 - 4) + -3 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5077597\/34 less than or equal to -149340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:45 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2. Let a(o) = -7*o + 3 - 7*o - 3. Calculate a(r(k)).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 - 2*b + 3. Let n be (-34)\/(-12) - (-1)\/6. Let i(u) = 2*u**3 + u**2 + 3*u - 4. What is n*i(v) + 4*h(v)?\nAnswer: 2*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5\/50 + f**4\/15 - 5*f - 1. Let t(w) be the first derivative of s(w). Find x, given that t(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2804 + 2834 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/3)\/q)**(-8\/11)*(q\/q**4)\/q**5)\/((q**0)**(-24))**0 assuming q is positive.\nAnswer: q**(-256\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x)*(2*x - 6*x + 2*x**2 + 7*x - 1).\nAnswer: -4*x**3 - 6*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8656361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210200 (base 3) to base 6.\nAnswer: 20500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445903416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 164*n + 1200. What is m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*x**3 - 15605*x**4 + 23863*x**4 + 23*x**3 - 7235*x - 43*x**3 wrt x?\nAnswer: 99096*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73970 - -112083. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -17*g + 3. Suppose 4 = 5*n - i - g, 0 = -4*n - i + 13. Let r be -6 - 0 - (-3)\/3. Put 0, n, r in descending order.\nAnswer: n, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -6*k + 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 42 + 90 = 0. Let i = -18 - w. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. Let l be (14\/(-77))\/((-1)\/p). Let w = l - -46. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31406552*p**4 - 45048235?\nAnswer: 125626208*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from bwwdddbwwd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.66564611 * -1.\nAnswer: 1.66564611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = -4*k + 6, -5*m = -2*k + 18. Suppose -f - k*g - 3 = 0, -3*g = 2 + 4. Find the second derivative of -a**3 + 4*a - f*a + 0*a wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -571891635 rounded to the nearest 1000000?\nAnswer: -572000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308 - 4470988755.\nAnswer: -4470988447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.822 + -13.8220006733. What is w rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/512 - 1009\/7680. Which is the nearest to -4\/5? (a) 0.4 (b) i (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (-3 - -1))*-16. Let v = c + -12. Solve 2*z = -2*z + v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n**3 + 2*n + (0*n + 4*n - 2*n)*(2*n**2 + 0*n + 0*n) - 50*n + 84*n**3 + 50*n.\nAnswer: 89*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 4*i = -2, 2*t = -i + 12. Suppose 2 = -w - y, -5*w + t*y = -4*w - 28. What is the remainder when 17 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**4 + z**3 - 3*z**2 - z. Let p(h) = -2*h**4 + 3*h**2 + h. Let b(w) = -3*j(w) - 4*p(w). Factor b(o).\nAnswer: -o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23900604 + -0.239. What is j rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**5\/10 + 3*j**4\/2 + 3*j**3\/2 + 2313*j**2 + j - 55. Differentiate h(u) wrt u.\nAnswer: -6*u**2 + 36*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 804 + -436. Suppose -u - 5*r = 21, -u = -4*r - 13 - 11. Suppose 0 = -u*b + 8*b - w. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 64224*l. Let q(d) = -43*d**2 + 2*d. What is q(i(x))?\nAnswer: -177363053568*x**2 + 128448*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 + 2193 = 128*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1676290*c**5 + c**2 + 210797.\nAnswer: 100577400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + 1?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z + 1. Let m(d) = 1. Calculate -b(k) + 3*m(k).\nAnswer: -9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(396))*1 - -2*(0 + sqrt(396))) + 2*(-3 + sqrt(396) + -1*sqrt(396) + sqrt(396) + sqrt(396)))**2*-1*-4.\nAnswer: -2688*sqrt(11) + 77872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 196369, 197019, 197669, 198319, 198969?\n\"Answer: 650*f + 195719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 2*m**3 - 4*m**2 + 3*m + 11. Let k be h(-7). Let y(u) = u + 11. List the prime factors of y(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 92 = -3*i, 0 = 2*w + 3*w - 2*i + 268. Is -51 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*g + 56, 4*g + 42 = -2*m + 118. What is the lowest common multiple of m and 2440?\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101604166*f**3 + 37287539*f**3 - 19916129*f**3 - 46210834*f**3.\nAnswer: -130443590*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(33\/9 - 3). Let n be 185*(6\/(-3) - u). Suppose -2*k + 7*k - n = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veb when three letters picked without replacement from eebvevbvbbbbv.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35361 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -288, 1806, 6266, 13092, 22284, 33842, 47766?\n\"Answer: 1183*a**2 - 1455*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*x - 84 = 0, -2*i + 4*x + 50 + 0 = 0. What is the remainder when 91 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 10.658 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/(-72))\/(1\/(-8)))\/((-4)\/(-6))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1224.01 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 34*n + 5. Let c(r) = -r**2 + 19*r - 4. Let a(b) = 4*b**2 - 58*b + 13. Let p(f) = 2*a(f) + 7*c(f). Calculate 2*d(s) + 5*p(s).\nAnswer: s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99793 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 25836942?\nAnswer: 4650649.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - 12) + 6 - 0) + (3 - -2) + 72.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/26*(-132)\/(-605)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4f9 (base 16) to base 6\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9974.8 plus 293502?\nAnswer: 303476.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4185\/60 + (-12)\/(-4). Is 72 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 7 - -5) + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -0.2, 984603?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-14)*(-10)\/(-210)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230212123 (base 5) to base 11.\nAnswer: 639488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + -2 - (-12 + 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.94 - -14. Let o = s - 0.57. Let p = o - -4. Round p to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*m + 7 = -335*m. Does m = -4\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706053 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.494 - -30.494. Suppose 3 = -r + 2. Let a be 1\/3*(-3)\/r. What is the closest to -1 in t, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 14}. What is prob of sequence wwzw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**6 + 2*j**4 + 145*j**3 + 948*j**2 + 2 wrt j?\nAnswer: 480*j**3 + 48*j + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0447 and -11548.55.\nAnswer: -11548.5947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1339 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o - 11. Let z = -2 + o. Solve -2*m - 2*q + z = -m, -3*m + 4*q - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*j*u**3 + 3*j*u - 42*j + 42*u**3 - 26*u**2 - 2*u - 570 wrt u?\nAnswer: -1080*j*u + 252*u - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 2*s + 8. Is u(-7) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from nnjjjdndjjdndjj.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8021.209426 - -0.0097\nAnswer: 8021.219126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*l**3 - 411*l**3 - 18*l**3.\nAnswer: -643*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -430660 (base 7) to base 8\nAnswer: -222017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 9*l**2 + 11*l + 31. Let b(n) = -n**3 + 9*n**2 + 13*n + 30. Let v(z) = -2*b(z) + 3*y(z). Give v(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Suppose 2*l = -l + 12. Factor 4*t**2 + 0*t**2 - 4*t**4 - 6*t**3 - q*t**l.\nAnswer: -2*t**2*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**4 - 429930*v**3 - 13762345*v**2 - 46020330*v + 60212600 = 0.\nAnswer: -28, -5, 1, 86018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*j**3*m**3 + 1131*j**3*m**2 + j*m**3 + 2*j*m**2 + 2311*m**3 wrt j.\nAnswer: 96*j*m**3 + 6786*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-170))\/((3705\/39)\/(-190))?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 27561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 11. Let m = -32 - k. What is the units digit of (m\/10)\/(((-42)\/(-400))\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**3\/3 + 2*d. Let p be (-20)\/(-30) + (-8)\/(-6). Let r(z) = 319*z**2 + 313*z**2 - 623*z**p. Give w(r(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2427050 (base 10) to base 6\nAnswer: -124004202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 750 - 2246\/3. Let r(t) be the first derivative of 32\/3*t + y*t**2 - 20 - 4\/9*t**3. Let r(g) = 0. Calculate g.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -1526767145293.\nAnswer: -1526767145293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:44 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -4 (c) 2\/21 (d) -1 (e) 468.8 (f) -2\/9 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 231?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*z**4 + 117.\nAnswer: 224*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -263e - 13a?\nAnswer: -2778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11 = 4*u. List the prime factors of 2\/u - (-444)\/22.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010012 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18249?\nAnswer: 3, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -727640 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - 8\/120*66.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168047, 336106, 504165, 672224, 840283?\nAnswer: 1008342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27237217 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184 or 44653\/244?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -49*o - 1036. Let k be a(-22). Let g = -419 + 587. Suppose 4*m + g = 7*m. Calculate the highest common divisor of k and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6057512 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 136 - 4*v + 6*v + 37 to the form u*v + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 18*s**2 + s - 1. Calculate the remainder when c(1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12792 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204875\/21 - 9754. Let l be 1*(-10)\/(-14)*(-80)\/(-25). Let y = o - l. Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6018 - 6016. Which is the nearest to x? (a) 2\/3 (b) -0.08 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.7 (b) -0.03 (c) 3 (d) -1\/4 (e) 3005\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 0.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**2 - 1. Let l be (-75)\/(-20) - 2\/(-8). Let n be l + -1 + -3 + 1. Give j(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 3 + 17 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -315*n**3 - 3*n**2 + 2726*n wrt n.\nAnswer: -1890*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131\/3 + -45. Suppose 5*x = -12 + 42. Let y(m) = m**3 - 5*m**2 - 7*m + 4. Let u be y(x). Do l and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2 + 324*k + 13122 = 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -544357 (base 12) in base 14?\nAnswer: -26a4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 2. Let m be (p - (-5)\/2)*8. Let r = 2 + m. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/79? (a) 1\/4 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137654 is divided by 784395.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15.3227975*-4\nAnswer: -61.29119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + (-25)\/10. Let i = -2.03 + 0.03. Let g = 2.1 + i. What is the closest to g in -0.3, 3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Let b(r) = -400*r. Give b(j(d)).\nAnswer: -800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79911734 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + v = -11, -15*v + 12*v - 9 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1c0eb0 (base 16) to base 7\nAnswer: -21425561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -703, -1410, -2107, -2788, -3447?\n\"Answer: o**3 - o**2 - 711*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59269 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.086 and -11.\nAnswer: -0.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(0 + ((1 + sqrt(833) + 5)**2 - (3 + sqrt(425) + 0))).\nAnswer: 1975*sqrt(17) + 21650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 14*l**2 - 13*l - 34. Let f be o(15). Put 5, f, -20 in decreasing order.\nAnswer: 5, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30989 - 19301. Suppose t = 21*x - 29409. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12854*b + 12852*b = -512. What is the smallest common multiple of 208 and b?\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/4*(-51)\/(-24). Let n = 3\/32 - m. Find the common denominator of 3\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233*b*y**3 + 27*b*y - y**2 wrt y.\nAnswer: -1398*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41362 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1123?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r + 119 = 6*v + 13*r, -5*v - 338*r = 8455 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2, 7, -15.\nAnswer: -34, -15, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3299*y**2 + 14956*y**5 - 32567*y**5 + 24274*y**5 wrt y?\nAnswer: 399780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 252*d**2 + 2308*d + 2556.\nAnswer: -4*(d - 9)*(d + 1)*(d + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 256288013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 14*y + 27. Let z be m(13). Let r(a) = 7*a**3 - a**2 + 2*a + 3. Let i be r(3). What is the units digit of ((-12)\/z)\/((-3)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 1398822*m + 19583459\/2.\nAnswer: (m - 2797637)*(m - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 350600868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g - 2*g)*(0*g + 3*g - g) - 326*g**2 + 73*g**2 + 181*g**2 + 4*g**2 + 2*g**2 - 5*g**2 + (2*g - 4*g + 0*g)*(-1 + 1 + g) - 5*g**2 - g**2 + 4*g**2.\nAnswer: -71*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhyyyyyhhffbhhhfhhha. What is prob of picking 1 y and 1 a?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f + 15 = 0. Suppose -2*d - 19 = 5*t, -t + 23*d + 3 = 20*d. What is the smallest value in -2, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1583*o**4\/6 - 7*o**3\/6 + 27*o**2\/2 + 2149*o - 2. What is the second derivative of a(c) wrt c?\nAnswer: -6332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336179192 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10 and (-10)\/35*2625\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100110111101 (base 2) to base 16\nAnswer: -39bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -110*f**3\/3 - f**2\/2 - 758*f - 1403. What is the first derivative of o(l) wrt l?\nAnswer: -220*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1 - 6 + 0 - 1 + 3*p. Let a be v(7). Calculate the highest common divisor of 91 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4121\/12 + 1215\/4. Let t = -40 - p. Put 1, 0, t in increasing order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.38 - -2.62. What is the nearest to -0.2 in t, -5, 0.04, -3\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 2, -0.09, 61, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/((-8325)\/135))\/(-62*6\/40)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((12 - -1) + (-105 - -125)) - -12\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19395039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 6908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**3 + 3*i - 6. Let x(t) = 17*t**3 - 5*t + 11. Let s(j) = -5*g(j) - 3*x(j). What is the derivative of s(v) wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7813458 to the nearest integer?\nAnswer: 2795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 498 + -449. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**2*u - 13*t**2 - 19*t*u**3 - 1 wrt u.\nAnswer: -2*t**2 - 57*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38911427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*i + 159 - 117. Let s(m) be the first derivative of 16\/3*m**3 + 0*m + 0*m**i - 14. Let r(y) = y**2. Determine s(r(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -602 + 1208. Find the common denominator of ((-2)\/88)\/((-3)\/m) and -43\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127 + 906*b + 36 + 43 + 48 - 918*b**3 wrt b?\nAnswer: -5508*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**5 - 48*p**2 + 13*p + 48*p**2 - 14*p**5 wrt p?\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13997*s - 14011*s + 202650. List the prime factors of s.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-21) + 2)*7. Let z(p) = 6 + p - m + 0. Let x be z(-3). Solve x + 4 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001179 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68962.7 centimeters in millimeters?\nAnswer: 689627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m + 8. Let w be g(6). Let i be 6*1*w\/6. Suppose -5*f + p = -i*p - 45, -p = 5. 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: Let z(y) = 6*y + 394993. Let p(l) = -5*l - 394994. Let f(i) = -7*p(i) - 6*z(i). Let g be f(0). Round g to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 8*a**2 - 6*a - 17. Let w = -30 + 40. Is h(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11677)\/(-46708)*(9\/(-3))\/(-3)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32628.\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329 + 22*m + 1073 + 256.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 92*a - 411. Calculate b(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18288\/3810)\/(-4 - 1141\/(-280)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 2, -943, 4, 7 in ascending order.\nAnswer: -943, -4, 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 601 - 352. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8055 divided by -9\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.51005 weeks in microseconds?\nAnswer: 5751678240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776593 (base 11) in base 3?\nAnswer: 120122221110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 678*z**3 + 56410*z**2 + 182286*z - 584820.\nAnswer: 2*(z - 171)**2*(z - 2)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28781 + -28780.64682. What is i rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191, -283, -389, -485, -547, -551, -473?\n\"Answer: 4*j**3 - 31*j**2 - 27*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -495 + 538. Calculate the highest common factor of 129 and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316756 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 4. Let y be f(-6). What is the units digit of y - (1 - 1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v**5 - 2*v**5 + 3*v**5 + 77*v**4 + 3*v**5 - 95*v**4 - 26*v**5 + (-2*v + v + 3*v)*(2*v**4 + 2*v**4 - 2*v**4) + 2*v**5 - 3*v**5 + 0*v**5.\nAnswer: -8*v**5 - 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a. Let b(t) = -31*t**2 + 7*t + 1. What is -b(r) + 6*n(r)?\nAnswer: 37*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 390\/(-144) + (4\/(-6) - -1) and -107\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-66) - 29\/(-6). Let b be 159\/j - 14\/(-70). Suppose b = -p + 5*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45224370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*y + 484 = -21 + 1. Let w(v) = 5*v**2 - 5*v + 6. Let g(j) = j - 1. Let r(m) = 6*m**2 - 12*m + 13. Let d(z) = 6*g(z) + r(z). Give y*w(x) + 3*d(x).\nAnswer: -2*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*k = -39672, n - 18029 = -3*k - 4809. List the prime factors of n.\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.249568ns to minutes.\nAnswer: 0.0000000000374928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*d - 39*d - 95 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 15*m - 14*m. Is m\/(-10) + 483\/70 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.9 or 0.090824?\nAnswer: 0.090824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51238*-3.\nAnswer: 153714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) -0.4 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 7*r**2 - 7*r - 3. Let q be c(-6). Suppose -2*j = 3*g + 2, g - 2*j = -3*j - 1. Let f = q - g. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25577, -50640, -75703, -100766?\n\"Answer: -25063*q - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2156) + sqrt(2156))*-5 - sqrt(2156))\/(sqrt(64)*1 + sqrt(44)\/sqrt(99)).\nAnswer: -231*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 131, 192?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*r + 8*r - 50*r - 154*r.\nAnswer: -244*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12263 + 24148. What are the prime factors of b?\nAnswer: 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 354*w**2 + 89*w + 94501. Determine u(355).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9568782 divided by 3189594.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2298 less than or equal to 22670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-1)\/(-1) - -1. Let b be (10\/k - -1)*-78. Let c = b + -49. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 9. Let q be y(-7). What is the first derivative of -q + p**4 + 1 + p**4 wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3*t + 0 - 10\/3*t**3 + 16\/3*t**2 + 2\/3*t**4 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Let a(z) = -z + 5. Let l be a(t). Solve 3*q - l = -i, -5*i + 21 = q - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 94 and -8723033?\nAnswer: 8723127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*u - 37 = 0, 4*z + 6*u - 35 = 3*u. Which is the third smallest value? (a) -2 (b) 0.3 (c) -1\/2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.5 - 0.44.\nAnswer: -43.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - -2355?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6654198 litres in millilitres?\nAnswer: 665.4198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10369 - -10367. What is the nearest to 2\/7 in 1\/3, j, 0.028?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323749057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 less than 0.033?\nAnswer: -0.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88283 + -176563\/2. Suppose 3 - 28 = 5*s. Let u = 6 - 8. What is the third smallest value in 1, h, s, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -381b?\nAnswer: -380c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 55*h + 276. Let r be g(44). Let c = r + -268. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17235 by -5.\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:40 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 - 2.14. Which is the second smallest value? (a) -1 (b) d (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 20*l**2 + 16*l + 14. What is the remainder when p(20) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 4*a - 9 = 0, 5*v - 3*a = -24. What is the closest to -0.2 in -2\/9, 4\/7, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**2*v**6 - 3*r**2*v - 11*r**2 - 75*v**6 + 4*v**3 - 29*v**2 wrt v?\nAnswer: 360*r**2*v**3 - 9000*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4125230 divided by 74\nAnswer: -2062615\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112101 - 22021110121?\nAnswer: -22021222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1152.7 + -1912.76. Let t = 760 + r. What is the nearest to -1\/3 in t, 0.2, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1248171912 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 1, 8, 5, -0.256, 6?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.5 + -61. Let r = k + -49. Round r to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 less than -868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74859, 299480, 673849, 1197966?\n\"Answer: 74874*i**2 - i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -204 - -5?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -16*c**2 + 6*c + 13. Let k(v) be the first derivative of 9*v + 2*v**2 - 6 - 11\/3*v**3. Calculate -7*k(r) + 5*n(r).\nAnswer: -3*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:06 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11087125 to the power of 1\/2, to the nearest integer?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 12, l: 5}. Give prob of picking 1 d, 2 n, and 1 l.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 1. Let x(o) = -6*o + 2. Let t(u) = 5*j(u) + 4*x(u). Let y(v) = -2*v**2 - 7*v - 4. Let n be y(-4). Let s = -11 - n. Give t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10400631*g**4 + 1831148*g**2.\nAnswer: 249615144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9940 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 6 = 0. Let x(b) = 4*b**3 - 7*b**2 - 2*b - 4. Let j(w) = 5*w**3 - 8*w**2 - 3*w - 5. Let f = -17 + 12. Let o(q) = f*j(q) + 6*x(q). What is o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 3*y)*(-1229 - 2630 + 293 - 898 - 16260).\nAnswer: -20724*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221824 and 9832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let d be (-2)\/v*(-3 - -4). Let o be (d*8)\/(1 - -1). Solve -o = -q + 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -11. Suppose q + a = -4*q. Let g be (-6 - -4)*(-6)\/q. Sort -4, -2, g in descending order.\nAnswer: -2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.3 (c) -0.5 (d) -5 (e) -3139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 965 and 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgqngggwgwggnngggwg. What is prob of picking 2 n, 1 w, and 1 q?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768706162 minus -2305?\nAnswer: -2768703857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5 - 10. Let y(u) = -g - 172*u + 173*u + 6. Is y(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 4. Let b be v(-4). Let w = 0 - b. Suppose w = 3*x + 2*x. Solve 0*t - 5 = -3*t - 2*r, x = -4*r + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/2 + 93*j**3\/2 - 153*j**2 + 6*j + 204 = 0. Calculate j.\nAnswer: -34, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 2*c + 11. Let f(r) = -4*r**3 + r**2 - 7*r + 34. Give 2*f(s) - 7*u(s).\nAnswer: -s**3 + 2*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-10) + 14\/(-70)*2. Sort -520, -1\/4, w, -1\/9 in decreasing order.\nAnswer: w, -1\/9, -1\/4, -520","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 2 - (-2 + 239). Let o = u + 2162\/9. Let a = 44\/3 + -15. Sort 0.5, o, a in ascending order.\nAnswer: a, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**23\/y*y**(-14) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 2) + 7 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7277 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4676 is divided by 428.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 1\/4*p**4 + 5\/2*p**2 + 5*p + 14 + 10\/3*p**3. List the prime factors of m(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {y: 3, l: 1, a: 3, q: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:01 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {o: 1, v: 17}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 4*u. Let y(c) = c + 13. Let g be y(-10). Let v be i(g). Suppose -v*j = -10*h + 5*h + 2467, 0 = 4*j + 16. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k*k**2\/k)\/(k\/(k\/(k**(-3)\/k))*k*k**(-1\/9))*(k**(-1\/9)\/k**(1\/6))\/(k**2\/((k\/k**(-2\/3))\/k)) assuming k is positive.\nAnswer: k**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8740755 < -8740758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -142*p**2. Let y(a) = -77*a. Determine y(s(u)).\nAnswer: 10934*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45570130*n**4 - 9*n**3*x**2 - 102*n**2*x**2 - 11*n**2*x + 22*n**2 - 2*n*x + 17 wrt n?\nAnswer: -1093683120*n - 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671 (base 10) to base 3.\nAnswer: 220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309 - 925\/3. Let u = -0.05 + -0.35. Sort u, y, -5 in decreasing order.\nAnswer: y, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -227, -453, -681, -911?\n\"Answer: -i**2 - 223*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 9:46 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Suppose 0 = 2*b - 10 - 6. Suppose -f = m*t - 11, 4*t + 0*t - 2*f - b = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/8 - 27*d**2 - 2. Let n be 1 + 15\/(-5) + -1. Calculate l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = 2*k + 2*o, 2*o + 16 = 2*k. Suppose -3*z + 372 = 3*d, 0*z = -2*d - k*z + 254. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 15) in base 13?\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -127*r + 1. Let w(o) = -o - 3306 + 3306. Determine s(w(h)).\nAnswer: 127*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 99 = -3*m. Let i(j) = -30*j - 13 + 13*j + 10*j - 64. Let p be i(m). Are 5 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6042672*m*x*y**2 + m*x + 2*m*y + 43*m - 5*x*y**2 - 92988*x wrt y.\nAnswer: -12085344*m*x*y + 2*m - 10*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.185 (c) -2\/7 (d) 2\/3319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -16. Is (h*2\/(-6))\/(5\/655) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -566\/251 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 2. Let p be o(-4). Suppose 0 = r + r + p, -36 = 5*a + 2*r. Let g(q) = -58*q + 7 + 112*q - 53*q. What is g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-133)\/44)\/(-7) + 2\/(-11). What is the nearest to 0.3 in -3\/7, a, -6, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 3. Let a be s(5). Let l(x) = x**2 + 1. Let n(t) = t**2 - t + 2. Let r(d) = 6*l(d) - 5*n(d). What is the lowest common multiple of 7 and r(a)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyamytagt. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*-2*sqrt(95) - (sqrt(95) - (1*2*sqrt(95) - sqrt(95))))\/(-1*sqrt(735)\/sqrt(3))*-1)**2.\nAnswer: 2736\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61583, 123415, 185247, 247079?\nAnswer: 308911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 1. Let d be (-8)\/12 + (x - (-320)\/12). Solve r - 18 = -5*k, -d = -4*k - 3*r - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -223 + 623. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-15)\/16 - ((-2478489)\/107120 + 2 + 22)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 5*q**4\/12 + q**3\/2 + q. Find the second derivative of s(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*k + 27 = 0, 6*c - 2*c + 41*k - 23*k = 14*k + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1996\/20 + 22\/110. Let f be y\/75*6\/28. Which is the second smallest value? (a) f (b) 3 (c) 30 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/12 - 2*b**3\/9 + 3. Factor c(r).\nAnswer: r**2*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*p + 16514, 5*p + 24826 = 3*n - 0*p. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8 and -85\/624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9975 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.085 - -0.015. Let d = -14 + m. Let s = d - -0.90068. Round s to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57680, -1, -7 in descending order.\nAnswer: 57680, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:20 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/3257 - 1644759\/42341. Let p = -39 - j. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 25 = -x, 38 + 7 = -3*m - 4*x. Let s(a) = 40*a**2 - 30*a - 3. Is s(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 31 = 3*m - 2*s, 1973*m - 1974*m - 2*s - 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*b - 348, -3*b + 10*t = 15*t - 544. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -78. Suppose -12*u + 4*u + 896 = 0. Calculate the greatest common factor of z and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 3.7845.\nAnswer: 155.1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2 + 33. Suppose 2*m + 1 - 5 = 0. Let p(f) = -f**m - f**2 + f**2. What is p(t(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/2*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 16 - 19 + 7*i**2 to y*i + z + j*i**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33555249 and 130?\nAnswer: 335552490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4361 = 3*u, u - 10*d = -11*d + 1452. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 6909 + 3939. Let w = -2740 - q. What is the tens digit of (2\/(-5))\/(3 + w\/310)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/((-4)\/(-1)))\/6. Let q(p) = p + 12. Let x be q(-7). Solve y + x*b = -3 + 19, y + b = s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fffa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -147. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8771733?\nAnswer: 3, 108293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 22 = -0*y - 3*j, 0 = y - 5*j - 18. Let q be ((-12)\/(-60))\/(y\/5). Is 0.4 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 3*k + 3*m, 5*k + m - 7 = 0. What is the third derivative of -587*d**2 - 15*d**3 - 1 + 579*d**2 + k wrt d?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 1103612644?\nAnswer: -1103612648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.095 + -14.295. Round s to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15102504, 15102503, 15102502?\nAnswer: 15102501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/2)*256100\/1970.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-65)\/10) + (-6)\/(-4). Solve 5*u - 4 = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221964417?\nAnswer: 3, 24662713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -259 and -341756.\nAnswer: 88514804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/32 + ((-1414)\/8 - -2). Let w = b - -83. Let a = w - -96. Solve a = 3*j - 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1526.1 + 1526. Is s at most as big as 7\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-10))\/(14\/70). Which is the closest to -2? (a) 2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1118 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*y + 7 = 0, 3*b - 24 = -5*y + 10. Suppose -2*a + 158 = 4*w, -b*w - 6 = -0. Is (a\/(-3))\/((-3)\/9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 83\/(-24) - 21\/(-168). Let m = h + 11\/3. Which is the second smallest value? (a) m (b) 0.5 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3 + 5 - 4*g + 4*g**2 - 23*g. Let m(d) = 3*d**2 - 14*d + 4. Let q(v) = -19*v + 701. Let h be q(37). Let t(r) = h*c(r) + 5*m(r). Solve t(w) = 0 for w.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*o + 19, l + o = 2*l - 8. Suppose -l*w + 2*w + 3 = 0. Solve 4*d - 20 = 0, w*d = -2*s + 7*d - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -154284\nAnswer: -5\/51428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 20148 = 69*d + 80*d + 108*d for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**44*(c**1*c)**(1\/16) assuming c is positive.\nAnswer: c**(709\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/47 (b) 157 (c) 5 (d) -4 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4. Let m be (110\/924 - 2\/7)*-4. Sort m, -3, p.\nAnswer: -3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 158054.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1593066444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019833506 rounded to seven decimal places?\nAnswer: 0.0019834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 - ((-6 - 0) + (53 - (-8 + 46)) - -1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -11, -10, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 24. Let p be ((-18)\/(-24))\/(3\/72). Let h = d + p. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/896*-16*8\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -88.42 from -53872050.\nAnswer: -53871961.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*g = -281*g - 28*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2705 - 2682. Solve 4*j = -j - d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibijn. Give prob of sequence bbii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050067 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 3*v, 5*v - 8 = c - 3*c. Suppose 5*h - 199 = -2*n, -c*h + 4*n + 121 = -27. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-2 - (-1 + -4))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + -3)) + (-9 - -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/7)\/((-6)\/(-84)). Suppose 2*v = r*v. Solve v*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -142.0348728284?\nAnswer: 142.5348728284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o**2 + 13*o**2 - 8*o**2 - 43*o**2.\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8359241 millennia?\nAnswer: 8.359241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13*-23\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*c**2*j**3*z - 16*c**2*j*z - 417*c*j**2*z + 1042*j**3*z - 2*j**2 - j*z wrt j?\nAnswer: -120*c**2*z + 6252*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 + 3)*(0 + 0 - q) - 2*q - q + q + 4*q - 1 + 1)*(157 + 501 + 593 - 226) to n + u*q and give u.\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 0.1 (c) 3\/19 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -445*q - 84. Let t(r) = 334*r + 65. What is -9*t(a) - 7*z(a)?\nAnswer: 109*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13240 - -4?\nAnswer: -13231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4)\/j*j)**(-6\/11)*(j\/j**(-1)*j)\/(j*j**(-5)\/j) assuming j is positive.\nAnswer: j**(161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 7*a + 5. Let b be ((-336)\/70)\/(9\/(-30)). Let k be -5 + 0 + (15 - b). Calculate h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -27. Let c(f) = 4*f**2 + 3*f - 3. Let z(u) = -3 - 11*u**2 - 8*u + 5 + 6. Suppose 7 = b + 2*q - q, 0 = 2*b + q - 15. Determine b*c(k) + n*z(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14886 + -3852. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -31*j + 38*j + 2*p, -2*j - 4*p - 24 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44275, -88644, -133205, -178054, -223287?\n\"Answer: -16*a**3 - 44257*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 280*s + 1822 = -105*s, -3*s + 7 = -7*s - 13 for k.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 9*g**2 + 3*g - 11. Let z be i(9). Calculate the greatest common divisor of z and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2991334kg in grams?\nAnswer: 299.1334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-5 + 10) - -21) + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4120286.\nAnswer: 3\/4120286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 177 + dc?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.22, -0.5, 6?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175427118.\nAnswer: 2, 3, 23, 643, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -8301 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 100 = -0*q. Suppose -2*x + 128 + q = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 15 + -11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r*r**13*r)\/(r**(2\/51)\/(r\/r**37)) assuming r is positive.\nAnswer: r**(-1685\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.94876 - 38.392. Let v = i + -1.56. Round v to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 1. Let d(q) = 2*q**3 + 12*q**2 - 8*q + 17. Let o(l) = d(l) + 3*m(l). Is 14 a factor of o(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 + 110?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 - -269. Solve -f*a + 3*m = -6, -3*m - 12 = m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n. Let c(o) be the first derivative of -2*o**3\/3 + 2. Give d(c(r)).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/2*(1 + (-372)\/(-28)). Solve -200\/7*x - 900\/7*x**2 - z*x**4 - 16\/7 - 250*x**3 = 0.\nAnswer: -2\/5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/7 + 3760*t\/7 + 71801\/7 = 0. What is t?\nAnswer: -19, 3779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25505244 to the nearest integer?\nAnswer: 5050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**10)\/b**9)**(-5\/12))**26)**(1\/52) assuming b is positive.\nAnswer: b**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 - 3 = 0. Let z(k) = k**2 - 3*k + 4. Let g be z(3). Let u = g - 7. Is u at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 9 - 4*w - 7 as q + m*w and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -37, -38, -39?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 22 + 4*s - 4*s + 3*s. What is the remainder when 52 is divided by t(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 6. Let h be d(-4). Suppose h = -2*u + 7*u. Does 6 divide 5*(u + (-16)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a factor of 45850020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 19*b + 15*b - 29*b)*(2*b**3 + 5*b - 5*b).\nAnswer: 10*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/32 and 103\/455207764.\nAnswer: 3641662112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-96) + 355\/(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.17462 months?\nAnswer: 0.3347885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -335*w**2 + 6*w + 6. Let x be p(2). Are -1324 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 648*i**2 - 49296*i - 101152.\nAnswer: 4*(i - 58)*(i + 2)*(i + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 960 * -1\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 8*g**4 + 31*g**3\/3 + 33. Find the third derivative of r(p) wrt p.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 84*s**3 - 1849*s**2 + 14*s + 185. Determine q(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14608 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006294 to 5 decimal places.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 5. Let k be p(7). Let x be ((-100)\/6)\/(k\/6). Let t = -32 - x. What is the remainder when t is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473449424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/4 of a millennium?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/6*q**2 - 5\/6*q = 0 for q.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*6*45\/36\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*b - 144*b - 15, -5*d + 3*b = -17376. What are the prime factors of d?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 42321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -8. Suppose 2*g = w - m, 5*w + 22 = -7*g + 4*g. Let q(v) = 4*v + 3. Calculate q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021112332 (base 4) to base 3.\nAnswer: -120021011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52713 - 104*z - 110*z**5 + 52713 wrt z?\nAnswer: -2200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f - 58*f - 666 = -3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14063*i**3 + 4*i**2 + 97*i + 92. Let f be a(-1). Calculate the highest common divisor of f and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 - 5. Let l be j(5). Let d(n) = -n**3 - 7*n**2 - 3*n - 3. Let v be d(l). List the prime factors of v\/(-4) - 1\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5417445587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 322, 6, -607 in decreasing order.\nAnswer: 322, 6, -607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/3*58\/203\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3871 (b) 0.5 (c) -3 (d) -1.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = 5. Let l be -1 - (1\/2*4 + f). List the prime factors of l\/(-10) - (-243)\/45.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/((q**(-1\/9)\/q)\/q))*q**(-3\/5))**(-1\/3) assuming q is positive.\nAnswer: q**(122\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) + 249\/9. Let o = -15 + i. Suppose -2 = -3*a + o. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.13 + 1.14. Which is the second biggest value? (a) -3\/7 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3160544\/593805 + 1\/19155. Which is smaller: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8037*y**3 - 14*y**2 + 178*y - 58*y + 14*y**2 - 59*y + 8002*y**3 - 59*y.\nAnswer: -35*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12238\/13804 - 3\/102. Put -37, 1\/10, g, -0.1, -1\/5 in increasing order.\nAnswer: -37, -1\/5, -0.1, 1\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t + 3*c + 115, 4*c = 3*t - 81. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -2. Let r be (418\/33)\/((-4)\/6). Let x = r + b. Calculate the remainder when 43 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 115, 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6330 and -0.3.\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/31 - 134\/279. Which is the nearest to 1\/3? (a) -2\/7 (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1)*q)\/(q**(2\/5)\/q*q))\/((q\/(q*(q**(-1\/3)\/q*q*q)\/q))\/q)**(-9\/4) assuming q is positive.\nAnswer: q**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 33 = -5*y - 10, 0 = 2*d - 2*y - 22. Suppose 0 = n - 16 + d. Solve n*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 2*c + 45 = 0, -18 = 2*z + 5*c. Let q = z + 14. Suppose -2*u - 210 = -q*u. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = w + 4*w - 4*g, 3*w - 2*g = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 - -2*1). Suppose x*w = 5*w. Suppose -22 = -2*m - w. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49247 and 1269026.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 + q + 1. Let j be x(3). Let i be (-4)\/(-3)*6\/(-4). Sort i, j, 3 in increasing order.\nAnswer: j, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2831507 is divided by 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50948439 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 at most 6\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - (-6)\/15. Let q = -1 - n. Put -5, 0, q in decreasing order.\nAnswer: 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1053 - -1058. Calculate the highest common factor of m and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/(-5088)*744*4\/3?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 2*q. Let o be y(-2). Suppose -w + 2 = -o*w. What is the third derivative of w*h**2 - 6*h**5 + 6*h**5 + 3*h**6 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/316985483?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 10:56 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0, 0.5, -27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/34*(-4)\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r + 4*h, -2*h - 2*h = -5*r + 10. Is (r\/(-6))\/(5\/15) + 90 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 106, 163, 224, 289, 358?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 13, 0 in decreasing order.\nAnswer: 13, 0, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**4\/24 + 2*y**3\/3 + 7*y**2. Let t be b(-2). List the prime factors of t\/(-4)*256\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: (42\/(-7))\/(5\/10 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - -42.93. Let d = 41 - p. What is the second smallest value in d, -0.2, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885379303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1. Let w(u) = 7*u - 1. Let j(a) = 4*c(a) - w(a). Is 12 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 3*c + 56 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3978 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 581791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 8*m**2 + 7*m + 2. Let k be l(-7). Suppose -k*h + 141 = -3. What is the remainder when h is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 7*w**3\/3 - w**2 + 4. Find the second derivative of p(t) wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-2)*(-6)\/72*-6172 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*26\/(-117). Let w = 2 - 2. Let p = w - -1. What is the nearest to -2\/3 in r, -1\/6, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(21)\/sqrt(3)) + -1 - ((sqrt(180)*4)\/sqrt(12))\/sqrt(5).\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.41 and -21.968750152.\nAnswer: -22.378750152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4695 - -4702. Let c(u) = 13*u**3 + 8*u - 7. Let p(z) = 13*z**3 + 7*z - 6. Determine j*p(b) - 6*c(b).\nAnswer: 13*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100.12 + -85. Let u = 0.12 - r. Let q = u + 17. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**4 + o**4 + 2*o**4)*(0*o - o + 2*o) + 22 + 8*o**5 - 22 - 4 + 2*o**5 + 4.\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1820209974.00000018 - 1820210024. Let n = m + 50. What is n rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82055358 divided by -651233?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1392 = 26*o. Which is bigger: 46 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/9 + (-2)\/6. What is the remainder when 89 is divided by (-94)\/(-4) - s\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oddxdxfffd. What is prob of sequence fo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f - 7. Let q be p(7). Let i = -272 + 503. Calculate the greatest common divisor of q and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2238331 to the power of 1\/2, to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65985.\nAnswer: 3, 5, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10990 + -10987. Solve 5*t - 10 = -m - 14, 16 = -4*m + j*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105508423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 2807 + 3881 = 0. Let c = s + 595. Is c greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 418, 7 in increasing order.\nAnswer: -11, 4, 7, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -102.1, 3554 in decreasing order.\nAnswer: 3554, 1\/4, -102.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 4:45 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -2, 22\/3, -0.7 in descending order.\nAnswer: 79, 22\/3, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (7 + -18 + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -523\/7 - -75. Let y = 31\/66 - 3\/22. Which is the closest to y? (a) -4 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(8 + (-11331)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4487 times 204?\nAnswer: -91.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95913.1 centuries in millennia?\nAnswer: 9591.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7226.33nm in micrometers?\nAnswer: 7.22633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115470618 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 956*c + 67 = 954*c + 5*h, 0 = 2*c - 20*h + 292 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 + 1)) + -16 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/(-77) - ((-35)\/(-49))\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37 and 8786199.\nAnswer: 8786236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 89\/4 (b) -1\/4 (c) 0.1 (d) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2560 by -512.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2268) - sqrt(2268)*1))**2 + ((sqrt(7) + ((sqrt(7) + -2)**2 - sqrt(7)))*-4 - (0 + sqrt(7) + -5)).\nAnswer: -14 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 8:19 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202 + 12?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/3, 54, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10*12\/180*3\/18\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137 in -5, 0.07, -4, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13798 + -13756. Calculate the remainder when n is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/63, 5\/3, 0.4, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83304 and 89?\nAnswer: 7414056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2118*t**4 + 53*t**3 - 396401*t wrt t.\nAnswer: 25416*t**2 + 318*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 38 = 4*n, 5*n - 5*u - 37 = 33. Suppose -5*j + 2*h = -n, -j = 3*j + 2*h - 16. Let b be (9\/15)\/(2\/(-2)). What is the closest to 0.1 in j, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1231 - 2902 = -228*c - 29. Calculate the remainder when 83 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-63)*(-9)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -32*s**2 - 1636*s + 1459. Give c(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 2*j + o + 35, -42*j - 2*o + 6 = -45*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100200023010 (base 4) in base 2?\nAnswer: 10000100000001011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4724*s**3 - 20*s**2 - 74*s.\nAnswer: -28344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-70))\/(9\/(-48))*-50. Let r = k - 77. Solve r*n - 3 = -3*w, 3*w + 4*n + n = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 15 = 0. Calculate the smallest common multiple of 7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1976 at least -1973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3305619.\nAnswer: 3, 311, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whfow. Give prob of picking 1 h, 1 f, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8. Let m(f) be the third derivative of 1\/24*f**8 - f**2 + 0 + g*f**3 - 11\/105*f**7 + 0*f**4 + 0*f - 2\/105*f**5 + 8\/105*f**6. Factor m(x).\nAnswer: 2*x**2*(x - 1)*(7*x - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-876)\/(-1095))\/(9\/20*33\/((-1188)\/(-1248))).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*a**2 - 59*a**2 + 14 - 14 + 0*a**2)*(4 - 4 - 5) as s*a**2 + x*a + v and give s.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*2\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28977*y - 28986*y + 108 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 854891920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 4 + 2 - (60 - (-8 + -1))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = -2*y. Suppose -5*v + 49 = -56. Suppose -c + v = y*c. Calculate the remainder when 26 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, m: 2, a: 7, z: 4}. Give prob of sequence fz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**3\/3 - 39*k**2\/2 + 47*k + 58. Let z be i(-40). Solve 0 = z*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*k = -15, 3*i + 4 = k - 13. What is the closest to -0.19 in i, -1\/10, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4589 + 4588.9993751. What is c rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, -4, -98?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34306.\nAnswer: 2, 17, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awbwbawwaaa. Give prob of picking 2 a and 1 b.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17997, -67264, -147803, -259614, -402697, -577052?\n\"Answer: -15636*u**2 - 2359*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*l - 56. Let b(x) = -x**3 + 9*x**2 + 13*x. Let s be b(l). Differentiate s - 53*m**2 + 113*m**2 - 63*m**2 with respect to m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*y**2 - 4\/9 - 2\/9*y = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - u + 12. What is w(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -86455581 divided by -829\nAnswer: 104289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {q: 7, x: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1123368 and 982947?\nAnswer: 7863576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66\/(-11) - (-1903)\/11 is divided by 79.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-7))\/3)\/(35\/(-5145)*-1281)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -515258385.6706 + 1\nAnswer: -515258384.6706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by 118\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 2*t**4 - 10*t**2 + 2*t**4 + 7*t**2 + 2*t as r + c*t**4 + l*t + g*t**2 + b*t**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -3 - (7525 - 7639).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and -73331.\nAnswer: -4986508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 2 + -1 + 2. Suppose 5*t - 303 = x, -m*t + 2*x = -130 - 56. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -776\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -102*c**2 + 5*c - 10. Let m(h) = -2*h**2. What is s(m(y))?\nAnswer: -408*y**4 - 10*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26.098707 from -350168.\nAnswer: -350194.098707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from ylybbyybblblyyyylyy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0)*2.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 856299937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*h**3 - 64*h**3 - 60*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -4, 10, -364, 2, 3 in descending order.\nAnswer: 10, 3, 2, -1, -4, -9, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 874415340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l + 2 + 20*l**2 - 25*l - 6*l**2 - 13*l**2 + 12*l**4 wrt l?\nAnswer: 144*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490.0217 rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 184, 19, 1, -3, -22, -12 in descending order.\nAnswer: 184, 19, 2, 1, -3, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1217124, 1217123, 1217122, 1217121, 1217120?\n\"Answer: -d + 1217125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v + v**2 - 14*v - 2*v**2 + 2*v**2 - 2. Let c(b) = -b**2 - 5*b + 3. Let q be c(-6). Calculate n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 5}. What is prob of sequence cs?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 - 0.05. What is the nearest to 2\/3 in 3\/7, 2\/5, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(0\/(-1) - 0). Suppose 4*t - 9*t + 55 = w. Suppose -t = -4*f - 4*q + q, 4*f - 6 = 2*q. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/456 and 55\/28.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9422751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2.82597 (b) -3 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**4\/4 - 11*b**3\/6 - 6*b**2 - 62*b. Let h be j(-2). Let q = 6 + -4. Sort -1\/4, h, q.\nAnswer: h, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14950000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Round j to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 7673115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 305*p - 303*p + 16, -4*p + 18 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 10 = -5*c - 38*z, -2*c - z = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -3.71 (b) 1 (c) 320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0839 and -0.0292?\nAnswer: -0.00244988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1361, -2871, -4385, -5903, -7425, -8951, -10481?\nAnswer: -12015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -30149 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + b - 11. Suppose -29*x + 31*x = 10. Suppose 7*h + 10 = 3*h - x*j, 0 = -3*h - 2*j - 4. Give s(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -19656427.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2440.3 - -2440.2999970389. What is y rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + (0 - 0) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 17104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 818, 1789, 3106, 4745, 6682?\nAnswer: 8893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 m when three letters picked without replacement from {p: 1, b: 6, g: 1, m: 3, e: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4634, 4650, 4680, 4724, 4782, 4854, 4940?\n\"Answer: 7*u**2 - 5*u + 4632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -972.09995623 + 972.1. What is h rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 36213391\nAnswer: -18106695.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + r = 5*n - 3, 5*r = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 32?\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(-1 - 8\/(-6)). Suppose 0 = 7*z - r*z - 5*p - 25, 3 = -3*p. Let g(w) be the first derivative of -w**2\/2 + 2*w - 160. Determine g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584086 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144382 or 144371?\nAnswer: 144371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-624)\/18 - (-7029)\/213.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10284 = 10294, 3*k - 30 = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 142, 312, 548, 850, 1218?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 4.4\nAnswer: 127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2707511493 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 3. Let c(h) be the third derivative of -h**6\/120 + 13*h**4\/24 - h**3\/3 + 102*h**2. Let o be c(3). Calculate j(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 17 = -3*q, -1119*q - 4 = o - 1118*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8644 is divided by 1108.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200319 - -379888. Let j = 121569 - b. Round j to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 3*x + 1. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -8. Let g(v) = 3*v**2 + v**2 - v**2 - 2*v**z. Let b(q) = -q**2. Give g(b(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:04 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2 - 14. Suppose 349 = 2*u - 3*v - 477, -r*v - 8 = 0. Suppose -u + 124 = -q - 3*z, 2*q + 5*z = 577. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.243 + -0.243. Let j = -139 - -143. Let s = 0.06 + 2.94. Which is the closest to 2\/9? (a) m (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8840398 is divided by 7608.\nAnswer: 7510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*n - 847, 9*n + 4 = 5*n. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + 2 + (4 + sqrt(1008) + sqrt(1008))*-2)**2*-5*-6 + -4.\nAnswer: 5760*sqrt(7) + 483952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 28, 24, 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 12 - 1378*d**4 - 44*d**3 + 1376*d**4 + 42*d**3 - 3*d to the form n*d + u + q*d**4 + z*d**3 + t*d**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, j: 3}. What is prob of picking 1 j and 1 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1273298*p**3 + 413647*p.\nAnswer: 7639788*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 15. Let g(z) = z + 1. Let n(d) = -3*g(d) - i(d). Let w be n(10). Suppose -11 = -w*y - 13. Which is the nearest to 0.1? (a) -3 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/3, -22.31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 3. Let c be -9*(3 - 4) - 3. Let d be v(c). Solve 4*b - 11 = -d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l**3 - l**2 - l. Let t be f(-2). Let b be ((-14)\/t)\/((-1)\/(-215)). Let u = b + -31. Which is bigger: 1\/5 or u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 4*u - 48.\nAnswer: 2*(u - 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 3*b - 2. Let w be l(4). What is the third derivative of s**w - 3*s**2 - 3*s**6 - 3*s + 3*s wrt s?\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102100 + 200?\nAnswer: -101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 207731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 2*k**2 + 15*k - 9. Let t(f) = f**3 + f**2 + 8*f - 5. Let b(a) = -6*g(a) + 11*t(a). Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129316 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(i - i - 3*i**2) + (i + 2*i - 2*i)*(-3*i + 2*i + 0*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.001, -1\/6, 3, -3 in ascending order.\nAnswer: -3, -0.5, -1\/6, -0.001, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 201, 445, 785, 1221?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -242*z**3\/3 - 463*z**2\/2 + 764*z. Differentiate r(w) wrt w.\nAnswer: -484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 4*r - 3. Let y be p(-1). Is 5 + (-78)\/18 - 241\/y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 42, 112, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d - 2*d)*(328 - 1225 - 354)*(1 - 1 - 1) in the form w + l*d and give l.\nAnswer: 1251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 + 8*r + 2. Let w be d(3). Which is smaller: w or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.061285 kilograms in grams?\nAnswer: 2061.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 182 - 42*l - 362 + 187. What are the prime factors of n(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/26)\/(((-3)\/(-2))\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, k: 14}. Give prob of sequence ccc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 840212 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12156370111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29699 or 29707?\nAnswer: 29707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-4) - (-536)\/(-104). Let f = -31\/286 - u. What is the fourth smallest value in 3, -3, -0.1, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h + 2. What is the least common multiple of 1 - -8 - (7 - 12) and m(-4)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b**5 + 132*b**4 + 14*b**3 - 148*b**2 + 40*b + 16 = 0 for b.\nAnswer: -1, -2\/9, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -726835 or -726831?\nAnswer: -726835","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 + 10*v - 5. Let g be k(4). Let o be (8*g\/(-615))\/(2\/(-5)). What is the second smallest value in 5, 1\/6, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**2\/2 + 5*t - 1269. Let h(c) = 2*c + 11. Give -3*h(u) + 5*l(u).\nAnswer: -u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42173274437.18 - 191\nAnswer: -42173274628.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1883.507 - -20.193. Round t to the nearest ten.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2285503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13600 by -2.\nAnswer: -6800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*p + 53. Let o(d) = -d**2 + 18*d + 21. Let u be o(p). Suppose 0 = -4*i - u*c - 8, -2*i - i - 2*c = 4. Sort 2\/17, i, 0.5, -0.3.\nAnswer: i, -0.3, 2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -44.9, -1.3, 3, -1.4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80.38 - -0.38. Let c = j - -82. What is the second smallest value in 4, 1, c, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.07, 104, -0.2, 0.2.\nAnswer: -0.2, -0.07, 0.2, 1, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8635.\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 22 - 2, 0 = -w + 2*b + 38. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -42*i - 37. Let x be z(-7). Let d = x - 205. Is d a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291862 times -0.5?\nAnswer: 145931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**2 - 151572800*m - 1148715684992000 = 0. Calculate m.\nAnswer: -15157280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-32)*(-4)\/(-1). Is -291*(-12)\/18*(-1 - m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -767860920 rounded to the nearest 1000000?\nAnswer: -768000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**7\/504 - b**4\/12 + 2*b**2. Let f(w) be the second derivative of q(w). Let j(o) = 11*o + 13*o - 25*o. What is j(f(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 - (256\/(-4) + (-4)\/(-2)) and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x + 371. Give y(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 825?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1771, 1772, 1773?\n\"Answer: w + 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5810965, 5810970, 5810977, 5810986?\n\"Answer: s**2 + 2*s + 5810962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136\/1603 + 2022607\/14427. Let d be 1712\/(-12) + (-4)\/(-6). Let r = o + d. Calculate the common denominator of -75\/8 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 701729127 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqofmoffmqfooffqoff. Give prob of picking 1 m and 1 q.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:44 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, x: 2, d: 2, u: 8}. What is prob of picking 2 d and 2 x?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 245932*k**3 - 1 - 6*k**2 + 122940*k**3 + 122994*k**3.\nAnswer: 2*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501056706.\nAnswer: 2, 3, 7, 151, 173, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221372887, 442745778, 664118669?\nAnswer: 885491560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (264 + (-2 - -6)). Let i = z - -273. Solve 0 = 2*s - 3 + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 196. Let i = 359 - a. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8091572 is divided by 975?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - x - 295 = -2*n, 3*n - x = 179. Suppose -5*o = 4*s + 113, s - n = 3*s + 2*o. Let b = s - -134. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90098528 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1 - (-4)\/(-6)). Let v be 1\/3 - (-2)\/(-6). Suppose v = -s*p + p. Solve -4*c - 11 - 1 = -5*o, p = -4*o - 2*c - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 205 + 2149. Let g = 1674 - m. Suppose 57 = -4*h + g. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81532.2 to the nearest one thousand.\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 41*j + 1. Let h(q) = 62*q + 1. What is -5*h(l) + 7*m(l)?\nAnswer: -23*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4043 and -0.2.\nAnswer: -4043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131)\/((-86984)\/(-249))*-200.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:12 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 0*h**3 + 34836*h**2 - 34843*h**2.\nAnswer: -2*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 16. Let g be ((-78)\/(-117))\/(4\/72). What is v(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let a(x) = -6*x. What is a(f(m))?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 3*g - 1 + 116*g**3 + 108*g**3 - 265*g**3 to the form y*g + z*g**2 + s*g**3 + o and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 10, 25, 56, 109, 190?\n\"Answer: j**3 - j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 4. Let l be x(2). Which is smaller: l or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2535 and -17\/6591.\nAnswer: 32955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*i - 95*i - 60. Let n be 134\/(-10) + 9\/(-15). Let g be 21\/18 - n\/(-21). Sort -5\/4, g, i in decreasing order.\nAnswer: g, -5\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 - x**5\/12 - x**4\/6 + x**3\/3 - 5*x**2. Let g be n(-4). What is v in 0 + 2\/7*v**4 - 2\/7*v + 2\/7*v**3 - 2\/7*v**g = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 - -3.6. Let v = 0.38 + -0.08. Put v, t, 4 in increasing order.\nAnswer: v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 35. Let z(d) = 3*d - 35. Let u(g) = -4*l(g) + 5*z(g). Does 8 divide u(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*i - 2 - 3, -5*r = 5*i + 5. Sort r, 5, -5 in increasing order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.08 + -13. Let s = p - -0.32. Let j = -5.03 + 0.03. What is the second smallest value in -3, j, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13176 and 553392?\nAnswer: 553392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 30, 34, 48, 78, 130, 210, 324?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 173197, -3, 2, 2\/5, -1 in ascending order.\nAnswer: -3, -1, 2\/5, 3\/7, 2, 173197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svwwkcdswsk. What is prob of sequence cww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1698240 by -915.\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 7*z + 3*z + (4 - 5 + 0)*(5*z - 3*z + 0*z) + 0*z - 2*z + 0*z)*(-4 - 1 + 3).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2*sqrt(272) - sqrt(17)))*6 + 4.\nAnswer: -54*sqrt(17) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*i + 4, 4*s = 2*s + 5*i + 16. Suppose 15 = 3*a + 3, -s*h = -a + 64. What is the tens digit of h\/(-8)*15*(-1 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqttqtqtxtqzqqqtqz. Give prob of picking 1 t and 2 q.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-2 - (3 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53304 (base 6) in base 11?\nAnswer: -5492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 3488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/7)*x)**(19\/6)\/(x**(-2\/7)*x*x**2*x))\/((x**(-2\/5)\/(x**0*x))\/(x**(-1))**(12\/7)) assuming x is positive.\nAnswer: x**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let q(d) = -2867972*d**2. What is f(q(m))?\nAnswer: 16450526785568*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*f + 6*f. Suppose 180 = 3*k - f*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 5*n**2 + 6*n + 6. Let f = -11 + 15. Let l(d) = -d**2 + 6*d + 7. Let w be l(7). Suppose w = -k - 0 - f. Calculate a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8623*w**2 - 6756. Let b(k) = 2157*k**2 - 1690. Let i(z) = -15*b(z) + 4*q(z). What is the derivative of i(n) wrt n?\nAnswer: 4274*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (9 + -1 - (-2 - 0))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 + 163*c**2\/7 + 1256*c\/7 + 2480\/7.\nAnswer: (c + 4)**2*(c + 155)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927 = 10*v + 41*v - 1521 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610849 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**3 + z + 5*z**3 + 7*z**3 - 4*z**4 + 1 - 2*z**4 to the form n*z**4 + i + k*z**3 + l*z**2 + g*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*q + 1097. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2. Let b(d) = 11*d + 17. Let o(m) = -57*m - 86. Let y(s) = 11*b(s) + 2*o(s). Give y(k(q)).\nAnswer: 7*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + l - 4 - 9 + 13. Let c(a) = a. Let w be 1\/(-3) + (-230)\/(-15). Let d be w\/6*(-18)\/(-15). What is d*k(m) - 3*c(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/199 - -3511\/3184. Let s = 317\/48 + q. Let o = s + -179\/21. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17438 = 3*n - n, -2*x = 3*n - 8723. Let y = x - 2279. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 162. Let k(x) = -x**3 - 5*x**2 - 5*x + 1. Let t be k(-4). Suppose -t*a = -10, -5*c - q*a + 74 + 24 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1133754)\/(-777) + (-1)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 515*b**2\/2 - 5663*b\/2 - 11 = 0.\nAnswer: -2\/515, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.70634 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 1. Let u be ((-4)\/(-4))\/((-1)\/(-4)). Let l(n) = 5*n - 13*n + u*n + 5*n. Calculate 5*l(i) + m(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -554*o + 558*o - j - 5805, j = 2*o - 2905. What is the remainder when o is divided by 479?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1637391 to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 16}. What is prob of picking 2 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612535821.\nAnswer: 3, 204178607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:17 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311928.\nAnswer: 2, 3, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/24 + t**3\/3 + 12*t**2. Let y = 0 + 4. Suppose 0 = y*x - 7 + 23. Let b(p) = -p - 2. Calculate x*j(n) - 5*b(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35\/6 + 29\/18. Suppose 0 = -2*m + 10, 2737 + 2733 = -u + m. Let d = -60167\/11 - u. Find the common denominator of d and t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716150 (base 9) in base 8?\nAnswer: 3512705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 1083, 1634, 2187?\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 46452*l + 510884. Calculate m(-11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h - 0*h. Suppose -h*x = 0, -2*y + 0*x = -4*x - 66. What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5194 microseconds to nanoseconds.\nAnswer: 519.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:02 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 3*x**4 + 0*x**2 + (-2*x**3 + 2*x**3 + 2*x**3)*(3*x - 2*x - 3*x) + (-x + 2*x**4 + x)*(-3 - 6 + 6).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -209. Let a = z - 60.1. Sort 1, 5, a.\nAnswer: a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**6\/15 - 11*r**5\/60 + 9*r**2. What is the third derivative of g(i) wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -177?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/1)\/(1\/1). Let w(h) = 10 + h - b + 0*h. Let d = 11 + -16. Calculate w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 4*x, 0 = 4*l + x - 0*x - 23. Suppose 3*o = 3*u + l + 9, -4*o + 17 = -3*u. Let h(n) = -2*n. Give h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20)\/(sqrt(10)*-3) + ((sqrt(2) - (sqrt(16)\/sqrt(8) - sqrt(2))) + -4)**2.\nAnswer: -25*sqrt(2)\/3 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + 6*x**2 - 4*x + 16. Calculate s(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*d**4 - 273*d**3 - 1395*d**2 - 2475*d - 375.\nAnswer: -3*(d + 5)**3*(6*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.3 (c) -1552\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 93*q + 80*q - 49*q + 1 - 8*q**2 + 25*q as j + g*q + z*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15066555 + 36?\nAnswer: 15066613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019975759 rounded to 5 decimal places?\nAnswer: -0.01998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 29. Calculate the highest common divisor of n and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*x + 29447 = 342*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 22*o + 23*o - 44*o = 0, 0 = 5*x + 5*o + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, 219, -4, -1, 31?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 33*a**3 + a - 27336*a**2.\nAnswer: -33*a**3 - 27336*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g - 20. Find the first derivative of 3*x**3 - g + 16 + 11*x**3 wrt x.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9646614\/3404)\/81 - 35.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-78)\/(-754))*(-3 + -3 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 13. Let c be -6*(-86 + g) + 3. Is c\/9*9\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596*-22.\nAnswer: -13112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1. Let x(o) = -o - 3. Let v = 102 - 103. Determine v*x(u) - 4*q(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 - 25 + 17 + 8.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let v(z) = 378*z - 29. Let q(r) = -3*r + 4. Let d(h) = -14*q(h) - 2*v(h). Calculate d(l(p)).\nAnswer: 714*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 7*t**2 - 4*t + 13. Give o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195850, -783753, -1763710, -3135721?\n\"Answer: -196027*j**2 + 178*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.31. Let k = g + -4.99. Let p(u) = u**3 - u**2 + 2*u + 3. Let f be p(0). Sort f, k, 4 in descending order.\nAnswer: 4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -5.99. Let d(r) = r**3 - 4*r + 1. Let p be d(-3). Let f be 2\/p*(-1 - (-4)\/(-24)). Put f, z, -5 in ascending order.\nAnswer: -5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56574 and 137394?\nAnswer: 961758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31508.82 nanoseconds in microseconds?\nAnswer: 31.50882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let l be (-6*16\/12)\/(-14). Put m, l, -0.05 in ascending order.\nAnswer: -0.05, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Let h(s) = -s - 10. Let k be h(q). Let n be (4\/6)\/(k\/(-6)). Which is smaller: 2\/9 or n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - 5) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 1. Let p(g) = 6*g - 2. Let k(t) = -13*t + 4. Calculate y*p(d) - 4*k(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 2\/3, 3, 5, -5, -2\/25, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001128 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3164 and 2079.\nAnswer: 939708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 281.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdt when three letters picked without replacement from {q: 1, w: 1, d: 1, t: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 3672501?\nAnswer: 3672506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*b = -95 - 7, -5*b + 150 = -2*z. Let f be (478\/(-6))\/(8\/(-6)). Let i = z + f. What is the nearest to i in -5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -989*h - 163. Is l(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741248 to the power of 1\/2, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + z**2 - 5. Determine o(-4).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 4}. What is prob of sequence lcc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207992\/5 or 41598?\nAnswer: 207992\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3033239 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**0))**0*(t**(-2\/7))**(9\/11) assuming t is positive.\nAnswer: t**(-18\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*-3 - sqrt(110))\/sqrt(10).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024692 rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -315*z + 13350. Let w(f) = 2*f. Determine o(w(j)).\nAnswer: -630*j + 13350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -2f?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 8 = 16*o + 4*m, -2*o - 5*m = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 - -0.4. Let g = -6 - -7. Let v be (g\/2)\/(18\/(-12)). Which is the nearest to v? (a) 3 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - d**2 - 4*d**3 - 3*d**2 + 5 + 5*d. Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2460 and 113\/3570.\nAnswer: 292740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*m - 7, -2*f - 5*m = 3*f - 40. Let n be 7 + -3 + -8 - -15. Find the second derivative of -30*g + 61*g - n*g - 2*g**f wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 - 0. Calculate the remainder when 5 + d + 46 + (0 - -1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/33 + 392\/(-22). Calculate the remainder when 49 is divided by (-1748)\/(-171) - (-4)\/h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 15935.\nAnswer: 4\/15935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15255 divided by 9?\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {t: 7, h: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4739, 8787, 12831, 16871, 20907, 24939?\nAnswer: 28967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73530965 to the nearest integer?\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 106*p = 108*p + 32, -2*p - 8 = 0. Solve -9*d = -z*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 64*q - 1277. Give f(15).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1143104317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12210 divided by -111\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613655 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 147 = -16*d + 167, -d = -4*l + 40 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*j**3 + 238*j**3 - 1 - 58*j**2 + 26*j**3 + 1.\nAnswer: -2*j**3 - 58*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*s - 2520, 0 = 4*c - 5*s - 6182 + 1064. What is the smallest common multiple of 30 and c?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 95*p**2 - 39*p + 3. Let k be a(9). Calculate the greatest common divisor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9442259820 rounded to the nearest one million?\nAnswer: -9442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 75\/12)\/(98\/16). Let d = 41 + -165\/4. Let m = d - 0. Which is the second biggest value? (a) -0.4 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:53 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1884663, -3769336, -5654015, -7538700, -9423391?\nAnswer: -11308088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 666703.6 grams?\nAnswer: 0.6667036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.2777 plus -1549?\nAnswer: -1732.2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 71640 divided by 308\nAnswer: 17910\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*m*q + 5*j*m - 3*j*q - 4*j*y**2 + m*q*y**2 + 2*m*y**2 + q*y**2 wrt q?\nAnswer: 2*j*m - 3*j + m*y**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(55)\/sqrt(5)) + sqrt(12)\/(sqrt(4) - sqrt(64)) + sqrt(3) - (4 + (1 + sqrt(30)\/(sqrt(60)\/sqrt(6)))**2).\nAnswer: -8 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9\/((u**(2\/5)\/u)\/u)*u**(1\/5)*u**15 assuming u is positive.\nAnswer: u**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14380, -2, 1, -4 in increasing order.\nAnswer: -14380, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from bxxp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10944*0.5\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 - (-1090)\/(-126) and (-2120)\/(-48) + (-3)\/(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -30. What is the greatest common divisor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 552 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101010000100101110001101 - 100?\nAnswer: 110101010000100101110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 4 - (3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/7 - -30*8\/42. What is the nearest to -1 in -2, d, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:38 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 50. Let g = o - -17. Let u(y) = -y + 13. What is the tens digit of u(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 4) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20269861*u**3 - 742*u**2 - 2292*u - 1 wrt u.\nAnswer: 121619166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o = -135 - 297. Let k(p) = p**3 - 10*p**2 + 10*p. Calculate k(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 7*q**2 - 13*q - 15. Give s(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2716593*j**4 + 7*j**3 - 597*j**2 - 12635*j wrt j.\nAnswer: 65198232*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2592020 by 218.\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/13979 and -32\/97853?\nAnswer: 97853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 209, 193, 151, 71, -59, -251?\n\"Answer: -2*y**3 - y**2 + y + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 9, f: 1, a: 2, l: 1}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 + -187.1. Which is greater: -324 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 18544851?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2 + 2*i + 5. Let f(o) = 3*o**3 - 23*o**2 - 6*o - 15. Let k(b) = 8*a(b) + 3*f(b). What is the tens digit of k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 11:54 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -37. Let i(s) = -2*s**2 + 7*s + 3. Let c(n) = n**2 - 4*n - 1. Let v = 17 + -26. Let u(y) = v*c(y) + w*i(y). Determine u(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820905809?\nAnswer: 17, 2837, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.34 times 8\nAnswer: -146.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**5 - 11253*i**4 + 19*i + 804 wrt i?\nAnswer: 200*i**3 - 135036*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 + 55092*p + 220400 = 0. What is p?\nAnswer: -4, 27550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8636 - 3?\nAnswer: -8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**3*o*o*o)\/(o\/(o\/o**(-5))))**(2\/85)\/((o\/((o*o\/(o*o\/(o*o**1)))\/o))**(7\/2)\/(o**3\/o**7)) assuming o is positive.\nAnswer: o**(-324\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 + f. Let v be s(-1). Suppose v*x - 5 + 1 = 0. Suppose 2*a + x = -3*q + 5, 5*q = -3*a + 7. Solve -z = q - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*i + 37*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -647, -10, 1 in decreasing order.\nAnswer: 1, -10, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 0*k - 248*k**2 + 262*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720384690?\nAnswer: 2, 5, 29, 5932361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.217 - 19.617. What is u rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (-3*sqrt(77) - sqrt(77)))*3)\/(sqrt(11) + -3*sqrt(704)).\nAnswer: 9*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let k(x) = -6. Let s(g) = -4*k(g) - 21*l(g). Let h(u) = u + 7. What is 2*h(t) - 5*s(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 14. Solve -2*c - 4*f + 6 = 0, 0*c + 2*f + a = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 15) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**3 + y**3 + 2*y**3)*(2041 + 899 - 903)*(-4 + 1 + 4) as f*y**3 + s + n*y + p*y**2 and give f.\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, -24, -13, 53.\nAnswer: -24, -13, 2, 25, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6153848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3520231 - -314?\nAnswer: 3520545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, -65, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69.571 + 69.471. Let h = 35 - 24. Which is the nearest to z? (a) -9 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - 15 + 15)*(-2*s**2 + 0*s**2 + 4*s**2) - 192*s**4 + 13*s - 29*s - 293*s**4 + 16*s.\nAnswer: -473*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) -1\/3 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.226 - -0.44. Let c = x + -1.904. Round c to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -64. Let m be ((-14)\/b)\/(2*(-8)\/6). Suppose t - 24 = -5*r, 3*r = -3*t + 4*t + 16. Is t != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 160938*y**3 + y**2 - 4*y. Let j(x) = 6 + 4 - 2*x**2 + 4*x + x**2 + x. Let s be j(7). Let d be p(s). Round d to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*m = m - 6, -2*m + 4 = 0. Suppose -3*j = -x*j - 5*b - 11, 2*j + 2*b + 2 = 0. Let z = -3 + 2. Which is bigger: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -705.2 - 3633192.07?\nAnswer: -3633897.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/((-112)\/(-5170711)) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and -0.446155.\nAnswer: 49.523205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, 19, 77, 171, 313, 515, 789, 1147?\n\"Answer: 2*v**3 + 20*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 7:09 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 34156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2540 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (5 - 13) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3130826*h - 2. Let c(b) = 3*b. Calculate c(y(f)).\nAnswer: -9392478*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 2 + -14 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 20*d**3 - 21*d**2 + 17. Let l(j) = 7*j**3 - 7*j**2 + 6. Suppose -5*i = 4*o + 14, -20*i + 16 = -4*o - 24*i. What is o*s(n) + 17*l(n)?\nAnswer: -n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide (-5 + (-6)\/(-84)*-2)\/(42\/(-269108))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akha when four letters picked without replacement from aasaaakaabsaaaaasbha?\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -276*p + 2169. What is the units digit of r(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/186 and 38\/15.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69727.5 rounded to the nearest one hundred?\nAnswer: 69700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0*1\/(2\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 709510 - 4966566\/7. Factor 8*k**2 + 0*k + t*k**3 + 0.\nAnswer: 4*k**2*(k + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 394162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j**3 - 25*j**3 - 10*j**3 - 2*j**3 + 2*j**3 + j**3 + j**3 - j**3 - j**3 + (2*j + j**2 - 2*j)*(2*j + 0 + 0) + 9*j**3 - 11*j**3 + 10*j**3)*(3 + 1 - 5).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 545\/3993 - -119282155\/63888. Let i = -1871 + j. Find the common denominator of 17\/3 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - -68. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 1.55.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**11\/r))*r\/((r*r\/r**(-2))\/r)*r*r)\/((r\/r**(-5\/4))\/(r*r**(1\/7))) assuming r is positive.\nAnswer: r**(249\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - (-37)\/7. Let g(l) = -l**2 + 6*l - 2. Let u be g(z). Solve -s = -u*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 25. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.1, -0.0474 in ascending order.\nAnswer: -0.1, -0.0474, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h. What are the prime factors of -2*1 + h - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5317 in 0, 47, -1, 4\/9, 1\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/30 + (-848)\/(-60). Let u be (2 - 1) + 28\/f. Solve -3*b = u*m, -6*b + 4*b + m + 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 20. Suppose -y*q = -q - 2. Find the first derivative of -4*x + 0*x - q - 2*x wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 16*c + 278 = 0. Let x = c + 344. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -355.7 + 356. What is the smallest value in -8, 2\/9, s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 18*c + 13*c - 8, 82 = 5*d - 4*c. Sort -4\/7, 2, d, 0.3 in decreasing order.\nAnswer: d, 2, 0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 42*d**2 - 5*d + 252. Let v be t(42). Solve v = 18*l + 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 s when three letters picked without replacement from {f: 8, s: 1, d: 2, b: 2}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 8. Let t(n) = -2*n**2 + 2 - x + 9*n. Let j(d) = -2*d**2 + 3*d**2 + 0*d**2 + 3*d - 7*d. Calculate -9*j(f) - 4*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27268.686183 + -27402.6861. Let c = 134 + z. What is c rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -49*x + 53*x. Let z(r) = -5*r**3 + 5*r**2 + 4*r - 4. Suppose 3*h - 8 = -h. Let j(p) = 2*p - 3*p**3 + 4*p**3 + 1 - 3*p - p**h. Give x*j(g) + z(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*z. Suppose -10 = -3*l + 5. Suppose -10 = -0*f - l*f. Solve -2*m - 18 = -2*d - 0*m, f*d + 4*m + 12 = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-180) - 4704\/3780?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.030732 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110100110111 (base 2) to base 3.\nAnswer: 11221212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 58241 + 67247 = 0. Is 3\/(-5) - x\/(-155) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/30 + 115*u**4\/12 - 206*u**2. Let k(t) = t**2. What is i(k(j))?\nAnswer: -2*j**4 + 230*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/15))**16)**(-3\/2)*(b**(-5\/4)\/b**0)\/(b*b**(1\/4)*((b\/((b**5\/b)\/b)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:37 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1)\/(3\/6). Let u(x) = -2*x**2 + 9*x + 8. Let s be u(5). Let b be -3 + 1 + (-1 - -2). Put a, s, b in descending order.\nAnswer: s, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5268?\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -138050, -138101, -138152, -138203, -138254?\n\"Answer: -51*t - 137999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 9*h - 32. Suppose 4*k = k + 4*u - 6, u = 4*k + h. Let j(g) = g**3 + g**2 - 2*g - 2. Give j(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Let j(b) = 6 - v*b + 0*b + 5 + 4. What is the tens digit of j(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0478 - -5.1078. Let s = -5 + c. Let l = s + 0.04. What is the biggest value in l, -3\/8, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*4*sqrt(13).\nAnswer: -5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (11 - (2 - -4))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(605) + 3*(sqrt(605) + -4))**2 + -3 - (2*(5 + sqrt(605))**2 + -3)) + 5).\nAnswer: -2552*sqrt(5) + 17138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26093 + -403?\nAnswer: -26496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-561)\/(-374)*8\/(-21).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 1. Suppose 14*r - 50 = 34. What is o(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -154)*3\/1. Suppose 5*k - 2*k = i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 + 26?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4)*0\/(-25). Find m such that 0*m + 2\/11*m**4 - 8\/11*m**3 + z + 6\/11*m**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48087, -48578, -49889, -52422, -56579?\nAnswer: -62762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 155 = -16*n. Which is bigger: 47 or n?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 437\/2 in -1\/2, -3.7, -76.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 86*j**2 - 66*j + 193*j - 60*j - 67*j - 9*j**2. Let i(x) be the second derivative of x**4\/3 + 2*x. Determine -3*a(y) + 56*i(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from {l: 3, o: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 20246 = 5*d - 5655, 4*d - 3*a = 20720. Let r = d - 1806. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*m - 48 + 1\/4*m**3 - 19\/4*m**2.\nAnswer: (m - 8)**2*(m - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g)**(8\/11)\/(g\/(g*(g\/g**(-2\/59))\/g*g)*g*g*g*g**7*g) assuming g is positive.\nAnswer: g**(-5524\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300290416.\nAnswer: 2, 587, 31973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Suppose -5*i - 2 = -k + m, -4*k - 4*i = -12. List the prime factors of (k + -5)\/((-2)\/19).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1633698 to the nearest one thousand.\nAnswer: -1634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-70) - (-2)\/14. Solve 5*a - 2 - 23 = f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 3 - -1)*1. Let k(c) be the second derivative of -1\/3*c**2 + 1\/9*c**3 - 1\/30*c**r + 1\/18*c**4 + 0 + 2*c. Find f, given that k(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1580 = 2*v + 2*v. Let q(r) = -2*r**3 - r**2 - 2*r - 236. Let l be q(0). Let k = l - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m - 34. Suppose -199*p - 91 + 91 = 0. What is d(p)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(1\/1)\/35. Let t be 328\/840 - 2\/15. Let c = b - t. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9*y + 24 = 0. What is the remainder when 47 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238311000 to the nearest one million.\nAnswer: 238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114228 divided by -6012.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13497942 divided by -501.\nAnswer: 26942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 9}. What is prob of picking 2 j?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*x + 141*x - 40 = 0. What is the hundreds digit of 0 - -595 - x*22\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2354577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 x when four letters picked without replacement from {q: 4, x: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -18*w - 15. Let l be u(-7). Let i = 163 - l. Suppose -s - 151 = -4*o, 0 = -5*o + 5*s - i + 222. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -403, -402, -401, -400, -399, -398?\n\"Answer: w - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3270 (base 11) to base 6.\nAnswer: 31544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1805*z - 904*z - 898*z. Let i(o) be the second derivative of o**4\/12 + o**2 + o. Let x(j) be the first derivative of i(j). Give q(x(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323\/4 + 667\/8. Let b*g**3 + 15\/8*g**4 + 0 + 0*g + 3\/4*g**2 = 0. Calculate g.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/363? (a) -0.05 (b) 42 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + v - 311, v + 21 = -3*i + 485. Suppose 7*j = i + 218. Suppose -351 - j = -2*g. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/14 + 312\/56. Let h be 8\/6*9\/j. Suppose h*r + 0 = 4. Solve 0 = 3*g - 3*o - 12, 0 = 4*g - r*o - 3 - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 36*y. Let i(p) = -9*p**2 - 2*p + 20. Let v(j) = -3*j**2 - j + 5. Let a(h) = i(h) - 2*v(h). What is u(a(x))?\nAnswer: -108*x**2 + 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1 (c) -1.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b - 365 - 141. Solve 0 = 25*i - b*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2209*y = -1261*y - 11376 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22308453 + 22283195.0005. Let c = d + 25251. Let t = 7 + c. Round t to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 323032 - 26724 = -635420. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104368 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 644*k**2 + 45*k - 222. What is the hundreds digit of d(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 165. Suppose j - 4*j = 3*x - d, 10 = 5*x. Calculate the remainder when (-2)\/((-18)\/16 + 1) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 3*g + g - 5*g as f*g + m and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*-2)\/((sqrt(2) - (sqrt(32) + sqrt(2)))*-4).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133576543 + 0.16?\nAnswer: -133576542.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2*n + 2820. Let g(m) = 281*m + 283*m - m**2 - n*m. Let f = 0 + 2. Determine g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.3. Let f = -56\/33 - -15\/11. Which is the closest to w? (a) f (b) 0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-118)\/(-260) + (-2)\/4. Let h be -2*3 + 838\/130. Let s = h + j. What is the closest to 0.1 in s, 4\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, 5, -5, -6 in increasing order.\nAnswer: -6, -5, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1527 * -0.4.\nAnswer: 0.06108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a + 0*a)*(0*a + a - 2*a) + 2*a**2 + 0*a**2 - a**2 - 4 - 2*a**2 + 4 - 5*a + a**2 + 5*a + 2*a**2 - 2*a**2 - a**2 + a**2 + 0*a**2 - 5*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9684 less than 0?\nAnswer: 9684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -11*y**6\/120 - y**4\/12 + y**3\/6 + 2*y**2 - 31. Let p(t) = t**2 - 17*t + 17. Let i be p(16). Give n(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 27*n**4 - n - 21*n**4 + 6*n**3 - 5*n**3 as t*n**4 + r*n**3 + v*n + y + w*n**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 40*d**2 + 322*d - 16. Give y(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 36. Let q(n) be the second derivative of v + 1\/2*n**2 + 3*n - 1\/12*n**4 + 0*n**3. Factor q(s).\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r - 0. Let c(x) = x**3 + 4*x**2 - 2*x - 5. Give c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2145 divided by -5.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1844254, 3688516, 5532778, 7377040?\nAnswer: 9221302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from ibypidpyiy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34535715*o**2 - 4 - 3167*o**3 + 34535824*o**2 - o + 4 wrt o.\nAnswer: -19002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4 and -58\/913451?\nAnswer: 3653804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -5, -1, -123 in ascending order.\nAnswer: -123, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*i - 11, 5*s - 4*i + 59 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547757711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000100222 - 22212011?\nAnswer: -2100020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3163, -7304, -14147, -23692, -35939, -50888?\nAnswer: -68539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2. Let n(q) = -1601040*q**2. What is n(s(r))?\nAnswer: -6404160*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, x: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*m, -4*m = 4*g - 2*m. Suppose h + 2 - 7 = g, 4*h - 5039 = -3*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + u - 6, 0 = -5*q + 2*q - 2*u - 2. Let a(z) = 0*z**2 + 15*z - 6 - 9*z + z**q. Determine a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -15. Let v = q - -14. What is the third smallest value in v, 0.1, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203733 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v**17*v*v)**(-37) assuming v is positive.\nAnswer: v**(-6253\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 6. Let h(j) = -7*j. Let o be h(2). Let x = o + d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14116 is divided by 14094.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*p = 32 - 36, -20 = -5*a - 4*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5656*b - 327210. Determine w(58).\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3033*g + 29385 = 3048*g. Is 49 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**(-10\/9)\/(p**(2\/13)\/p*p*p*p*p**(-1\/2)\/p*p) assuming p is positive.\nAnswer: p**(-1031\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(12))*-4 + -4.\nAnswer: -12*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260589666523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -505013 (base 8) in base 2?\nAnswer: -101000101000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -315*u**2 + 20428382*u - 129704.\nAnswer: -(u - 64852)*(315*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 8*g + 9*g)*(-1 + 1 + 5*g) - 2*g**2 - g**2 + g**2 as k*g**2 + h*g + w and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -97, 18.82 in ascending order.\nAnswer: -97, -16, 18.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nr when two letters picked without replacement from rghhhrhhnhhnhhgor?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m - 60 - 14*m + 7*m. Let o be w(5). Let b(a) = a**2 + 12*a + 25. Let p be b(-10). Sort 0, -1, p, o in decreasing order.\nAnswer: p, 0, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0 - 1\/2*g**2 + 1\/3*g**3 - 4*g + 10\/3*g**4. Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2989455 to 2 dps.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/8 + (-118 - (-155386)\/1232)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724 - 148 = -32*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3848350*u**6 - 5*u**4 - 27073261*u**2 wrt u?\nAnswer: 461802000*u**3 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 116 + 60 - 378*j + 6043*j)*(2 + 3 - 4 + (6 - 3 - 4)*(-4 + 5 + 1) + 0 - 1 + 3).\nAnswer: 5665*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/40*4*-2. Which is the nearest to -38? (a) 1 (b) w (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 150088?\nAnswer: -150090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:57 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*s - 4, 2 = -3*y - s - 3. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53.28 - 53. Let y = -0.08 + i. What is the third smallest value in -0.3, 11, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*t + 10*t. Suppose 56 = t*g + g. Suppose g*v - 8*v - 180 = 0. What is the remainder when v is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046970 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7632, -15263, -22894, -30525, -38156, -45787?\nAnswer: -53418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110002220201100 (base 3) to base 5\nAnswer: 3121402201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9) + 2 - (-5)\/(-15). Let p = -180\/203 - -34\/29. Which is the nearest to 1\/4? (a) p (b) z (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 2*r + 391*r**2 - 395*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 3*p - 594 = -p. Which is greater: -1272\/13 or p?\nAnswer: -1272\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or 892405?\nAnswer: 892405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 5, 0.02, -2\/11, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 1444?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1757882890 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2 - 1) - 119\/51. Factor 4\/3 - 2*u**2 + 2\/3*u**4 - o*u**3 + 2\/3*u.\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 3)*7*(-24)\/(-28). What is the highest common factor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11923086*n**2. Let h(a) = a**2. Determine w(h(d)).\nAnswer: 11923086*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1393 - 95057?\nAnswer: -93884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37300 divided by 5\nAnswer: -7460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 2*b - b + (-5 - 2 + 4)*(-15 + 2*b + 15)*(3 + 5 + 12).\nAnswer: -119*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + (-7095)\/(-132) + 61\/(-92) + 1.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7516712.\nAnswer: 2, 7, 134227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2696 and 64962142?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 108 = 9*a. Is ((-66)\/a)\/(3\/171) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/12 + 19*r**3\/6 + 9*r**2\/2 + 3*r + 6. Let l be z(18). Which is the second biggest value? (a) l (b) -4\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 10. Suppose -2*l + d = 3*g, 11 = 4*g - 5*l - 10. Suppose g*x + 24 - 1 = m, 4*m - x = 137. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 30 - 60. Let y = -231 - -237. Calculate the highest common divisor of i and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1070 + -748. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-42)\/(-28)*930\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*d - 2*d + 2*q, 0 = d - 2*q - 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 39\/(-12))*(7 + -15). Let l be (-8)\/z*50\/20. Find the third derivative of 31*w**5 + 5*w**5 - 28*w**2 + 25*w**l wrt w.\nAnswer: 2160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6160 and 996380.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*b - 1658*b = -120 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -76*(12\/(-2))\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 45 = -130 - 609. Let k be (1 + -10)\/((-3)\/14). Calculate the highest common factor of w and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o**(1\/10)\/o*o)))\/o)\/(o*o**(-1\/19)*o)*o**13*o*o\/(o**(-13)*o) assuming o is positive.\nAnswer: o**(4779\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2140327796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15 from 4915.\nAnswer: 4915.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 q, and 1 h when four letters picked without replacement from hljlqps?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*2\/(-35))\/(1\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jkjkkk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 13*s + 107*s - 1342 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/24831 + 546233\/1216719. Let a(q) = q**3 + 6*q**2 - 4*q - 5. Let t be a(-5). What is the common denominator of 1\/(2\/t)*2 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 27. What is the remainder when r(13) is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 158.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 13*m**4\/4 - 13*m**3\/3 + 868*m + 194. Differentiate b(h) wrt h.\nAnswer: 39*h**2 - 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 4, v: 2, h: 1}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-103323654)\/(-686) + 8\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 142, 593, 1348, 2407, 3770, 5437, 7408?\n\"Answer: 152*m**2 - 5*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 223\/5 + (52 - 15708\/330)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6192 + -16.531\nAnswer: -6208.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose 4*b - 10 = f*b. Suppose -2*z - 3 = -b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 2 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/4 - 2365\/770. What is the second biggest value in -0.2, 195, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**4*x + 2*i**3*x - 87*i**2*x - i*x - 9*i wrt i?\nAnswer: -36*i**2*x + 12*i*x - 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261347167241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 6*o + 28. Let h = 2 + -2.03. Let s = -0.27 + h. Which is the third biggest value? (a) 3\/7 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -35*l**2 + 141*l + 39. What is q(2)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13230245.\nAnswer: 5, 7, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 23 - (-13 - (-5 + -15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182\/5, 8.5, -0.7.\nAnswer: -0.7, 8.5, 182\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 288012815 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71674467?\nAnswer: 3, 23891489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 + 2*f - 28943 - 2*f + 28943. Let o(g) = 3870*g. What is t(o(d))?\nAnswer: -44930700*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-110.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*x - 2449*x + 416*x + 2.\nAnswer: -2811*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18731, -18714, -18697?\nAnswer: -18680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 2*l - 1. Let z(w) = -3*w**3 + 9*w**2 + 6*w + 3. Let b(f) = -11*q(f) - 4*z(f). Let m be (-6)\/(-1) + -6 + 1*4. What is b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464548, -929405, -1394262, -1859119, -2323976, -2788833?\nAnswer: -3253690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -14*v + 8*v. Let u(m) = -2*m**2 - 2*m**2 + 9*m**2 + v*m**2 - m. Calculate u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194956361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus -4.77721?\nAnswer: -12.22279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23498944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*q - 5*q. Suppose 3*x + 375 + 201 = 3*a, 4*a - 2*x - 764 = 0. Let u = -105 + a. Calculate the remainder when u is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 3*k + 27. Let i be d(4). Put i, -5, 79 in increasing order.\nAnswer: -5, i, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + a + 9 + 19, -13 = -2*x - 5*a. Solve -h = 8*h + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 + 0.4?\nAnswer: 644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i**2 - 4. Let h(u) = 663*u. Calculate h(p(d)).\nAnswer: 7293*d**2 - 2652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(((-7)\/56)\/(3\/18)). Suppose 573 = h*d - 55. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5*2*(sqrt(700) + 2)*-3)**2 + -5 + 1).\nAnswer: 36000*sqrt(7) + 633596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-3 - (6 + -7 + -12))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let i(y) = -y + 11. Let x(b) = 1. Let k(f) = -i(f) + 6*x(f). Let m be k(o). Solve -3*w - m = 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 33. Suppose -w - 4*t = -0 - 22, 2*t = -2*w + m. Let d be 4\/(-3)*w*-9. Solve -5*p - 4*i - 7 = 0, 5*p + 4 - d = 5*i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1243*d**3 - 493*d**3 + 11 - 25161779*d + 25161574*d - 197*d**3 wrt d?\nAnswer: -11598*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2051*d + 2057*d. Solve -d*x + 10*x = -33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10033 and -76.8.\nAnswer: -770534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 114, 137, 176, 237?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 51*s**2 + 198*s + 2048. Is 8 a factor of u(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49957654.\nAnswer: 2, 24978827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 - r - 5. Let o(t) = -492*t + 1670. What is the remainder when o(3) is divided by b(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 172 = -3*t. Let c = t + 67. Suppose 3*a - 2*a = 5*n - c, 5*n - 20 = 5*a. Solve n*y = -5*r + 35, 0*y + 3*r = 5*y - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -8 - 4. Let c = -6.3 - -6. Let d = c + 0.1. What is the closest to 0.1 in 0.5, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let j be u\/6*(-3)\/(-2). Suppose -5*h + 95 = 3*v, 5*v = 3*h - j - 90. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.15, 9, -4, -2, -2\/77, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319*d**2 - 88*d**2 + 1213*d - 1213*d + 779*d**3 wrt d.\nAnswer: 4674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*(2 + (-5)\/(-10)). Let x = z + 6. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415149 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 + 29.62. Let h = m - 47. Let x = h - -18.064. Round x to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968000 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*m - 29 = 0, -20 = 4*m - 4. Is 17 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.023 + -2.977. Let g = -750 + 21752\/29. Which is the smallest value? (a) g (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*c + 131*c + 8 = -z, -2*z - 16 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 9*p**2 - 12*p + 3. Determine b(11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29527 + -885919\/30. Find the common denominator of p and -7\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/5, -0.2, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/225 + (4\/(-15))\/(67 - 25594\/402)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 671090589 to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 1444787240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1573*b + 997*b - 34 - 3 - 48 - 22.\nAnswer: 2570*b - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4525885 to the nearest integer?\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2763*z**3\/5 + 71836*z**2\/5 - 367427*z\/5 - 266\/5 = 0. What is z?\nAnswer: -2\/2763, 7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 19. Does 3 divide 516\/l*(-3)\/(4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*l - 12, 3*q + 5*l + 1 = 37. Solve q*o - 17*o = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127103?\nAnswer: 127103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (253 - 249 - (-13 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3798 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -67. Let l = -77 - -229\/3. Which is the closest to l? (a) 5 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*x + 91561*f**2 + 21534*f*x - 2*f - x - 44 wrt f?\nAnswer: -4*x + 183122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 127*q**2 + 154*q - 215. Is 58 a factor of n(-57)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -12a?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/42*6\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**8\/1680 - 5*x**4\/12 - 10*x**3\/3 - 11. Let m(l) be the third derivative of w(l). What is the derivative of m(r) wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 8. What are the prime factors of ((-64)\/6)\/(c\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**2 - y + 8*y + 3 - 5*y. Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:36 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 713 divided by -15303.\nAnswer: -713\/15303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(3*-2)*25\/((-200)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0481534996 + -534361.\nAnswer: -534361.0481534996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 27 = 3*q, 9 = -4*q - 5*g - 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**0\/r)))**(-2\/23)*(r\/(r*r\/(r\/r**1)*r)*r)\/(r*r**2*r) assuming r is positive.\nAnswer: r**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 12 - 20. Let d = y + 25. Solve 5*a - 15 = -3*c - 2*c, -d = a - 4*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (49\/(-21))\/(1\/(-42))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 17, -1\/3, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -16*t**3 - 34*t**2 + 14*t. Let m(u) = 15*u**3 + 30*u**2 - 12*u. Determine 7*m(o) + 6*r(o).\nAnswer: 9*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010101010001110010111 + 0?\nAnswer: 1001010101010001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Let p = -443235 + 2216176\/5. Let h = -445\/1022 + 1\/146. Which is the nearest to -26? (a) h (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 57*f**2 + 104*f + 32. What is q(55)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -817853790*d - 388556968.\nAnswer: -817853790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 6:38 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/(-14)*12\/18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggga when four letters picked without replacement from {a: 2, g: 8, s: 8}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20839, 29737, 44573, 65353, 92083, 124769?\nAnswer: 163417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -231. Let m be 2\/(-6) - (v\/(-9))\/(-4). Let a(l) = -l**3 + 4*l**2 + 13*l - 1. Let z be a(m). Solve -z*g - 4 = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12*15)\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3860 is divided by 379?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 11743?\nAnswer: -11717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((8 - (-2 - -11))*1)\/1. Put a, -0.2, -2\/47, 2, 4 in decreasing order.\nAnswer: 4, 2, -2\/47, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + 13*t**4\/4 - 73*t**3\/6 - 8*t**2 - t - 11. Is 2 a factor of d(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m. Let o be p(-4). Let g be o\/8*(0 + 2). Let q = g - -53. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 12*n**2 + 12*n - 13. Let q be o(11). Let d be -4 - (-7)\/1 - (q + 5). Suppose 3*a - 2*a - 104 = d. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/7 + -4)*0\/1. Which is greater: m or 11\/1029?\nAnswer: 11\/1029","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14710281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 7. Determine c(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*b + 3*v, -5*b - 5*v + 21 = -7*b. What is the second derivative of -11*o - 16*o**b + 37*o**2 + 48*o**2 + 69*o wrt o?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -254310 + 532193. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 8*d**2 - 7*d + 2. Let y be f(-7). Suppose 0 = y*a - 4*s - 12, 2*a - 3*s - 14 = -5. Solve n = -a*n + 2*i - 3, 4*n - 3*i = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/42 and 23\/25151.\nAnswer: 150906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 510\/322 - 2 - 3\/(-7). Let t = 44\/161 + q. Which is the closest to 2\/3? (a) t (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -54463 divided by 49.\nAnswer: -54463\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*u**2 + 5 - 47*u**2 - 2 + 6*u in the form z*u + k + d*u**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let y(z) = -6 - 84*z + 90*z + s. Suppose 6*v = 17 + 7. Let t(q) = 17*q - 11. What is v*t(u) - 11*y(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003719917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 31, 2, -0.4, -10\/43 in increasing order.\nAnswer: -0.4, -10\/43, -0.1, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2570 and 75\/38.\nAnswer: 48830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.028 + 29.028. Let k = -29116478 - -29116506.999961. Let i = n - k. Round i to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 15*a**2 - 15*a + 10. Let n be o(14). Let m(b) = -b**3 - 3*b**2 - 5. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:30 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231 - j**4 + 12*j**5 - 2*j - 231 wrt j.\nAnswer: 240*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -21150.\nAnswer: 21149.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/3 - 182*a**3\/3 - 976*a**2 + 72200*a\/3 + 680000\/3 = 0 for a.\nAnswer: -50, -8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -694408, -694406, -694402, -694396, -694388, -694378?\n\"Answer: y**2 - y - 694408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58132?\nAnswer: 2, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35507 + 1623?\nAnswer: -33664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589179.\nAnswer: 19, 83641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9310105.\nAnswer: 5, 7, 266003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1, -11, -315, -2 in ascending order.\nAnswer: -315, -11, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/10 + -2 + 1. Let t = 0.7856 + -0.2856. Which is the second biggest value? (a) -3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 15, 3*i + b = -0*b + 159. What is the common denominator of 101\/6 and 1 + 0 - 1251\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/78788541 and 21\/143.\nAnswer: 866673951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1\/2)\/h)\/h)\/(((h**1*h*h)\/h)\/h))**(-42))**(1\/17) assuming h is positive.\nAnswer: h**(147\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgi when three letters picked without replacement from jjhjgjimgm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:56 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (72\/16 - 7\/14) + 1452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + -2 + 3 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5054*s**2 - 5081*s**2 + 76*s + 2*s**3 + 10105*s**2 + 288 = 0.\nAnswer: -2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88178625 divided by 4.\nAnswer: -88178625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 8*l + 9. Let o be c(7). Suppose -v - 22 = 4*r - 7*r, -o*r + 24 = -2*v. Let g = 12 + v. Is 5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 108*z - 1\/12*z**4. Let j(m) = 59*m. Give d(j(f)).\nAnswer: -3481*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*g)*(491 - 491 - 173*g**3).\nAnswer: -346*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 310700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -35. Suppose -x*i - 25 = 0, -4 = -d + 3*i + 29. What is the remainder when d is divided by 1\/(-1) + (-33)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -220208, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1100 + 1175. Solve -j - h = -72 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 c when three letters picked without replacement from {q: 1, v: 1, c: 6, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196 - -200) + 0 + -11 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 8*n**2 - 5*n + 31. Let b be d(8). Let c be 20\/(-7) - ((-9)\/7)\/b. Let f = 31\/20 - 679\/180. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*y + 3 - 4 = 0, 2*r + 5 = 3*y. Sort 2, r, 5, 19 in increasing order.\nAnswer: r, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, g: 2, a: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**5 + 48*f**4 + 168*f**3 + 176*f**2 + 60*f.\nAnswer: -4*f*(f - 15)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)*(j*j**(-1\/6))\/j*j*j*j**(-9)*j**4*((j\/(j**(1\/5)\/j))\/j*j)\/(j**(2\/17)*j)*j**(-1\/6)\/(j\/(j**(2\/11)*j)) assuming j is positive.\nAnswer: j**(-18146\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 0, -5, -12, -21, -32?\n\"Answer: -l**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 9) to base 16.\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 + 194.87. Let r = -2.13 - t. Which is the fourth smallest value? (a) -0.1 (b) -5 (c) r (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11023190 to the nearest one hundred thousand.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y, c - 2 = -3*y. Let r = 2.92 + 0.08. Let g = r - 3.1. Sort 3\/2, c, g in increasing order.\nAnswer: g, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2789, 2781, 2761, 2723, 2661, 2569, 2441, 2271?\n\"Answer: -j**3 - j + 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**3 - 6*f**3 - 5 - 8*f**3 + 20*f**3 - 5*f + 7*f**2. Let i = -770 + 776. Determine c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -79. Suppose -2*i - o = -4*i. Suppose 15 = 2*r + 3*r + 4*n, -i*n = -r + 3. Solve r*w = -0 - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 458?\nAnswer: -31\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167499 + -0.0807626.\nAnswer: -167499.0807626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 5*i + 57. Suppose -5*f + 2730 = 5*n - 890, 0 = -i*n - 4*f + 2170. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 652708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183.4 - -51.6. Let d = l - 157.4. Let t = 78 - d. Sort -2, -1, 3, t in ascending order.\nAnswer: -2, -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqffffvffvfvfff. What is prob of sequence vfq?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3294\/24335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 - (-2 - ((9 - 1) + 4) - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2001? (a) 26 (b) 2\/5 (c) -0.4 (d) 81 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 + 0*v**2 - 3*v**2)*(4*v + 0*v - 6*v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185468 is divided by 780.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5076219789 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 + 375566*a**2 - 1502240*a + 1502232 = 0 for a.\nAnswer: 2, 187779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -6 + 10 - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*q - 341*q + 240 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 972*o + 52. Let q(c) = 322*c + 17. Let f(h) = 17*q(h) - 6*u(h). Find the first derivative of f(l) wrt l.\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 - 148845 - 2*x**3 + 148845.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1446 divided by 6.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1170001*r**3 - 2*r + 1. Let l be z(1). What is l rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:59 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14636808, 29273619, 43910430, 58547241, 73184052, 87820863?\nAnswer: 102457674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3016*r*t**2 + 121*r + t**2 - 3*t + 50 with respect to t.\nAnswer: 6032*r*t + 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103\/45 - 17\/9. Let s = 17 - 16.3. Let w = s - 1.7. What is the closest to -4 in w, z, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/28 - (-16)\/7. What is the nearest to 2 in 3\/4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 5. Suppose -q - 1 = 2. Let v(i) = 7*i - 23. Let z(o) = 4*o - 12. Let d(n) = q*v(n) + 5*z(n). What is 3*d(l) + 5*p(l)?\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.227769 years in months?\nAnswer: 110.733228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let p(n) = -13*n - 1. Let u(g) = 43*g + 6. Let t(f) = -6*p(f) - u(f). Determine 30*h(r) - t(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - 100?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 576323 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 36 = 6. Solve -2*m + m + p = -5*y, 0 = -m + 4*y + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Suppose 6 = -2*g - g, 5*g - 10 = -u*f. Let t = -15 + 20. Solve -t*w = -5*v + 10, -f*v + 2 = 4*w - 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/15)\/(4\/(-12)). Let l = -6.38 - 0.62. Sort d, -5, l, -2\/7 in decreasing order.\nAnswer: d, -2\/7, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 35 + 18)*(4 - 2 - 1)*(-6 + 4 + 0)*((0*k - 3*k + k)*(0 + 2 - 1) - 4*k - k + 3*k).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/252560 and -133\/40590?\nAnswer: 2273040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 b when four letters picked without replacement from {a: 10, c: 2, b: 4}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Suppose -4*v - 36 = -9*o + 4*o, 2*o = -2*v. What is the second derivative of o*l**2 + l + 0*l - 4*l**2 + l**4 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21866 + 3833 + 7734 + 25150 + 12843 + 10438)*(-3*r**2 - r**3 + 3*r**2) to v*r**2 + q*r**3 + l + y*r and give q.\nAnswer: -81864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -807?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:26 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 254, 611, 1154, 1907, 2894, 4139?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -50. Is 4 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -3)*-5 + 0. Let t(g) = g**3 + 4*g**2 - 4*g - 3. Let n be t(a). Let i = -6 - n. Solve -3*o = -4*j + 5, -o - o = -i*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {n: 4, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -53, -92, -135, -176, -209, -228, -227?\n\"Answer: k**3 - 11*k**2 - 3*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 132. Let z = c + -95. Let l = z + 44. Solve w = -2*w + l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let p = -12 - -7. Let j(t) = 17*t - 2. Let f(o) = 8*o - 1. Let i(a) = p*f(a) + 2*j(a). What is i(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 2*r. Suppose -r*v + v = -3474. Let k = -24270\/7 + v. What is the common denominator of k and -18\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150653, 150650, 150647, 150644?\nAnswer: 150641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -8. Let k(u) = u**2 + 2*u. Let b be k(-2). Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104123 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -318810.\nAnswer: -318803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -2\/21*f**3 + 0*f + 30 - 1\/7*f**2. Factor c(l).\nAnswer: -2*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2187, 1, -0.3 in increasing order.\nAnswer: -0.3, 1, 2187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/5))\/g*g)\/(g**(2\/11)\/g))\/((g*g\/g**(-5\/2))\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-731\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/424153 and -21\/10?\nAnswer: 4241530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 1523 = 472 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(216*l + 89*l + 572*l) in the form t + z*l and give z.\nAnswer: 1754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/154*1 - 6\/(-33).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66351521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -8 - -7 - (1 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/10 - k**4\/12 + k**3\/2 + 5*k**2. Let g be h(3). Suppose c + g = a, -a + 0*c = c - 53. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263233 + -84234633\/320. What is the common denominator of 29\/220 and w?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + ((-12 - 20) + 26 - -31).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 4. Let g(s) = 2*s**2 + 5. Let m(j) = -5*g(j) + 6*w(j). Suppose -4*z = 5*t + 1, t + 17*z = 16*z. Give m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naj when three letters picked without replacement from {a: 6, v: 1, n: 1, g: 3, j: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.8 in -0.4, -14123, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**2 + 21*n. Let z(j) = j. What is z(s(u))?\nAnswer: -12*u**2 + 21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - v - 2*v - 14 = 0, -4*v + 8 = 0. Solve -i - g*m = 0, -i + m = -m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 818804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 - 5*y**3 + (0 - 2 + 7)*(-y**3 - y**3 + y**3) + 2*y**3 - y**3 + 3*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2796776 minutes in days?\nAnswer: 0.000888665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 16 = 52 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1239 in -1\/5, 0.3, -3\/7, -3\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -l - 4*a, -10*l + 6*l = 5*a - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182182*a**3*m**2 + 2*a**2*m**2 + 26*a**2 - 3*a*m**2 + 247*m wrt a?\nAnswer: -1093092*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5166 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v - 1 - 2*v - 6. Let n be d(7). Suppose -s = -2*p + 168, 5*p + n*s - 423 = s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -52?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120 + (-17447)\/146)*(109*-2 - 4).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 0*q - 2314*q**3 + 2243*q**3 + 3*q.\nAnswer: -71*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 - (-30 - 5) - 5. Suppose 0 = s*q - 171541 - 71371. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1967211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 836552008 by -8.\nAnswer: -104569001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1144*o + 1. Let c(i) = i**2. Calculate c(h(z)).\nAnswer: 1308736*z**2 - 2288*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 4) + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0743 - 0.1257. Put 0.2, 19, z, -8 in increasing order.\nAnswer: -8, z, 0.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/16450 and -35\/121.\nAnswer: 1990450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 - 2*z. Let u(k) = -43*k. Give u(l(i)).\nAnswer: -387*i**2 + 86*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3897 + 40116. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173709, -347419, -521129, -694839, -868549, -1042259?\nAnswer: -1215969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1008) + sqrt(1008)*-3 + sqrt(1008) + -3)**2 - (3 + -1 + sqrt(1008))**2) + 3.\nAnswer: -72*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 203566.23 seconds?\nAnswer: 2.356090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 29 - 13 - -50\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kppkk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*i + 124. Suppose 0 = -10*u + 4 + i. Solve -t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/60)\/(-1))\/((-9)\/(-15))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c1b2 (base 13) to base 5.\nAnswer: -1323203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 171\/114*4\/10*(2 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*v - 49*v - 134*a + 132*a + 84, -38*v + 1893 - 453 = -a for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {u: 4, v: 3, e: 1, p: 6, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/5, -0.4, 6.56, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*f + 287, -4*f - 4*q + 15 = -405. What are the prime factors of f?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let h = -11 - -15. Find the third derivative of 3*t**h + 3*t**4 + 3*t**2 - 4*t**4 - x*t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/12 - 4\/16. Suppose -4*w + 0*w - 5*h + 41 = 0, 3*h - c = 0. What is the least common multiple of w and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a33c (base 13) to base 12.\nAnswer: -115961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 99 - 255. Calculate the common denominator of (-1236)\/m*(-5)\/90 and -63\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and 65\/2122.\nAnswer: 25464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 23. Let q = d + 109. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -802*w - 11300. What is s(-14)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1 - 2*a - 4*a**2 + a**3 + 4*a + 0*a**2 + 4. Suppose -i - 2 = -6. Give y(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-7 - -4)\/3. Solve -7*w + 20 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 9*y. Let n(r) = 4*r**2 - 39*r. Let v(d) = 26*l(d) - 6*n(d). Let p(z) = 3*z**2 - 4*z. Calculate v(p(s)).\nAnswer: 18*s**4 - 48*s**3 + 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28078 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -42*r + 624. Let g be (-4 - 1)\/(1\/(-2)). What are the prime factors of 25\/((g\/r)\/2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -2*w. Let c = 2 + w. Suppose -c*k + 154 = -191. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262878?\nAnswer: 2, 31, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9404, 1 in ascending order.\nAnswer: 0, 1, 9404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**8\/4200 + x**6\/300 - x**5\/150 + 43*x**3\/3 + 63. Let p(n) be the third derivative of m(n). Factor p(o).\nAnswer: -2*o*(o - 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*u - v + 18, v = 5*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - -122. What is the third biggest value in -0.2, n, 0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*i**3\/5 + 79258*i**2\/5 + 22644*i\/5.\nAnswer: 2*i*(i + 5661)*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 5*x + 1. Let c be z(4). Suppose 3*o = c*i - 0 + 14, 4*i + 24 = 4*o. Suppose 0 = o*s - 3*s - 25. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 10, -9, -24, -29, -18?\n\"Answer: n**3 - 7*n**2 - 3*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094606209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60558881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 25*g - 50. Determine x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.59 and -6?\nAnswer: 9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*1*8*((-17578)\/940)\/187.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8352.006 nanometers?\nAnswer: 0.0008352006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 1}. What is prob of sequence rrx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1496)\/20 + (22 - 19)\/((-525)\/35).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 183200836 divided by -538\nAnswer: -340522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*12\/(-42) + 0 + -2. Suppose 2*o = -7*i + 4*i + 18, o + 2*i - 8 = s. What is the remainder when 239 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2389, -2392, -2397, -2404, -2413, -2424?\n\"Answer: -r**2 - 2388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)*q\/q**7)\/(q**(-26)*q*q)**(-34) assuming q is positive.\nAnswer: q**(-2467\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177, 340, 505, 672, 841, 1012?\n\"Answer: s**2 + 160*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35667 (base 13) to base 4\nAnswer: 113313213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 5:32 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 19*p**2 - 5*p - 20. Is 15 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 71*t**4\/12 - 107*t**2 - 96*t. Find the first derivative of u(j) wrt j.\nAnswer: 142*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 5. Let h be g(-6). Let j = 7 + h. What is the units digit of 2\/4 - (-99)\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -12*w**2. Let n(u) be the first derivative of 2*u**3 + u - 1543. Give n(p(r)).\nAnswer: 864*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26315*c - 13158*c + 149*c**3 - 13157*c.\nAnswer: 149*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -5*k - 43, q + 238*k - 240*k = 16 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 22\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 65 = 6*k. Let g be (-3)\/9 - (-78)\/k. Solve 0 = 5*h - w + 7, 0 = -g*h - 0*w - w - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2067605 and 3.0990972.\nAnswer: -2067601.9009028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 601433.9 days in nanoseconds?\nAnswer: 51963888960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*5\/(-30)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247580 a multiple of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 - 2008293*a - 4016583.\nAnswer: -3*(a + 2)*(a + 2677722)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 968*p**3 - 9*p**2 - 18*p + 9. Let r(g) = -242*g**3 + 2*g**2 + 4*g - 2. What is 2*c(l) + 9*r(l)?\nAnswer: -242*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrbk. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 47, 48, 33, -4?\n\"Answer: -m**3 + m**2 + 15*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v + 18*v + 34*v + (-1 + 4 - 5)*(3 - 3 - 2*v) as l + s*v and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1408 (base 10) in base 11?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132944447?\nAnswer: 71, 887, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p. Let g = -6 - -10. Let t(d) = g + 0 - d + p*d. Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**3 - 2*t**2 - t. Let o be v(-1). Suppose -5*k + o = -5. Solve 0*f = -f + k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72568 rounded to the nearest one hundred?\nAnswer: 72600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m - 0*m. Let h = -76453 + 76456. What is the nearest to m in h, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5868\/7 (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25300656 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13*c - 208. What is m(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -121095, -242174, -363257, -484344?\n\"Answer: -2*n**2 - 121073*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, h: 1, y: 1, g: 4}. What is prob of sequence ah?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -16 - (-5 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*p + 5*p. Let y(x) = -x**3 - 11*x**2 - 8*x. Let a(v) be the second derivative of -v**4\/3 - v**3\/2 - 43*v - 1. Determine p*y(c) - 11*a(c).\nAnswer: -4*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43101332 plus 14?\nAnswer: 43101346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:24 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 + 217 + (-4 + 4 - (-6 + -54)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.0789 and -0.6096921.\nAnswer: -1.6885921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqqqygggeqqegggqqy. What is prob of sequence gyq?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315224 - -1544?\nAnswer: 321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 8*a**2 + 9*a + 4. Let x be 4\/(-20) + (-78)\/10. Let r(h) = h - 1. Let i be r(x). Let t be y(i). Solve u = t*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/10 + -99\/20. What is the nearest to -2\/3 in 2.5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 11*q - 9. Let b be c(-10). Let x(y) = -1 + 0*y + 4*y + 10*y. What is x(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*t**3 + 2*t + 7 - 7 + 1 + (-2*t + 0*t + t)*(2*t**2 - 2*t**2 - t**2).\nAnswer: -11*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**6\/8 - 3*i**5\/4 + 3*i**4\/4 + 4*i**3 - 12*i**2 + 12*i - 29. Factor h(r).\nAnswer: 3*(r - 2)**3*(r - 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-2 + 1 - -3). Suppose 5 = t*j - 7. Suppose -j*q + 4*m = -43, 0 = -5*m - 5. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*d - 295*d**3 + 53*d - 178*d.\nAnswer: -295*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 82284*t\/5 + 82287\/5.\nAnswer: -3*(t - 1)*(t + 27429)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v. Let w be 0*(v - 3\/12). Let g = -2 - -1. Sort 1, w, g in ascending order.\nAnswer: g, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1538\/21, 473, 0.6?\nAnswer: -1538\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2567 - -2570. Let s = 0 + 0. Solve s = 4*r + 2*o - 12, 2*r + 0*r + j*o - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 0 = -4*l. Let d = l + -1. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174 and -9724.\nAnswer: -1691976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.01, -2, -15, -0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622140 divided by -155535.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -110\/7 - 106\/7*a**2 + 218\/7*a - 2\/7*a**3 = 0?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9466?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Suppose 2*h - 1910624 - 869376 = m. What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 10*y - 1. Calculate v(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzuzkkkzkzzukk. What is prob of picking 2 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 o, and 1 x when four letters picked without replacement from {t: 2, x: 4, b: 1, o: 6}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiaywyvwievy. What is prob of sequence iyea?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:00 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 3. Let o = -236 - -239. Give i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*24 - 5904\/(-369). What is the greatest common factor of o and 4432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 39*h**2 - 30 - 1002*h**3 + 2007*h**3 - 1004*h**3 - 34*h. What is the hundreds digit of x(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**5\/5 - 46*y**4\/5 + 28*y**3\/5.\nAnswer: 2*y**3*(y - 7)*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43135331.\nAnswer: 47, 917773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + 3*a)*(2*a**2 - 3*a**2 + 2*a**2) + a**3 - 3 + 3 + (-3*a**2 - 8*a**2 + 7*a**2)*(-3*a - 3*a + a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-758)\/(-6) + -1*5\/15.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 0.038982705268\nAnswer: -66.961017294732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -2)*(-2)\/13. Let y = -701 + 696. What is the closest to 2\/5 in -0.4, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) -5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-1)*s*s**(4\/5)*s*s*s*((s\/(s**1*s))\/s)**(-5) assuming s is positive.\nAnswer: s**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - (-7 + -24). Suppose 0 = -2*k + a + 349. Is (3 + -4 + 2)*k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 22. Suppose -t*y = y - 27. Find the third derivative of 0 + 0 - y*p**2 - 10*p**3 wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.29 - -0.29. Let y = -0.6 + g. Let k = -1.58 - y. Which is the second smallest value? (a) 2 (b) k (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.9563 - 0.0437. Sort -137, 0.4, o in descending order.\nAnswer: 0.4, o, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6346 - 6346 + 84*p)*(96*p**2 + 86*p**2 - 131*p**2) as q*p**2 + y*p + u*p**3 + n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 50, 141, 286, 491?\n\"Answer: b**3 + 18*b**2 - 18*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 + b**2. Suppose -i + 0*i + 2 = 0. Let f(d) = i*d + 3*d - 7*d + 0*d. Calculate f(z(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.7566 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/155733201 and 61\/206817.\nAnswer: 155733201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((5\/(-10))\/((-4)\/8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2448)*-1)**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 501508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 19*z + 517. Give m(-32).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/5, 1, -112, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 10*u)*(-19 + 38 + 91).\nAnswer: 440*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34372 to three decimal places.\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 30*p + 14. Let s be i(-18). What is the highest common factor of 69 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 6*b + 7 + 2*b. What is the units digit of r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 1252?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7830 + 7830.0000009335. Round d to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22138389 by 7.\nAnswer: 3162627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73308017?\nAnswer: 73308017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1689728 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 796 - 786. Suppose 220*n + q = 225*n. Factor 0*p + 1\/2*p**n - p**4 + 0 - 1\/2*p**3.\nAnswer: -p**2*(p + 1)*(2*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484814 is divided by 10804?\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 7*p - 6. Let a be h(-8). Suppose 4*l - 76 = 2*q - 6*q, 23 = 2*l - q. Let n be 18\/l - (-16)\/(-56). Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:49 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + (-3)\/(-2). What is the third derivative of 7*z**6 - 2*z**p + 10*z**2 - 10*z**6 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 1556?\nAnswer: -10892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = -18*d + 330 + 650. What is the highest common factor of d and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*j + 45, -3*s + j - 3 = -48. List the prime factors of (-40)\/2*(-66)\/s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 243\/76214?\nAnswer: 243\/76214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/14 and 45\/799508.\nAnswer: 5596556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*m**3 + 69*m**2 - 69*m**2)*(-6 - 11 + 86)*(1 + 2*m - 1).\nAnswer: 3174*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272552142.\nAnswer: 2, 7, 162325153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1259758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184081 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -40, 5, -5.\nAnswer: -40, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24334 is divided by 567.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19072585117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14094*h**3 - 1817*h**3 - 21*h**3.\nAnswer: -15932*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) - (52 + -52). Which is the closest to x? (a) -0.01 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.782373 millilitres in litres?\nAnswer: 0.004782373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/8)\/((-2)\/(-40)). Suppose -b + j = 3. What is the units digit of b + (-3 - -1 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m. Let r(b) = 5*b + 11. Let y(f) = f + 2. Let s(o) = 2*r(o) - 11*y(o). Let q(g) = 8*g. Let n(p) = -q(p) - 6*s(p). What is n(j(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 76168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))\/v)**(-2\/57)*(v\/(v**(-2)*v))**6 assuming v is positive.\nAnswer: v**(682\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42556 not equal to 42320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -925 (base 10) to base 11.\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from otjrsjm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udn when three letters picked without replacement from {j: 1, g: 6, c: 3, u: 2, d: 3, n: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.41 (b) -0.09 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 35 and -2504096655.\nAnswer: -2504096620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -8*h**3 - 9*h**2 + 3*h + 16. Let t = 146 - 150. Is 14 a factor of i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118299869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2799.59 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*u = 208, -73*u + 78*u = -3*i + 118 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 217337?\nAnswer: -217335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -777, -782, -789, -798?\n\"Answer: -x**2 - 2*x - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - 3?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*h = 78, 8*o - 42 = 11*o + 5*h. Sort -1, 4, o, -2, 2.\nAnswer: o, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + b + 31 - b + b + 1. List the prime factors of g(-9).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 8 = -12*i. Let f be i\/(-28) + 78\/(-1092). Factor 1\/5*l**2 - 3\/5*l + f.\nAnswer: l*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/10, 0.06, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((4\/(-14))\/(-19*(-44)\/(-385)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 - -221. Let c be -5*r\/((-30)\/5). Let o = 39 - -21. Calculate the highest common factor of o and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 26 = 4*w, -2*w - 14 = -3*j - 0*w. Let q = -106 + 183. Suppose 73*i = q*i - 16. Solve -5*v = -i*r + 4 + j, 2 = 5*r - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 492\/(-8)*8\/(-6). Let r = n - 167\/2. Let f = -0.1 - -0.5. Sort r, -1\/4, f in increasing order.\nAnswer: r, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10141.47 years to centuries.\nAnswer: 101.4147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585622378.\nAnswer: 2, 211, 3757399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -13.2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 1 + 2 + 1 + 3. Let g be p(-3). Let c be 23\/2 - g\/(-4). Is 13 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2722.98488994 + 2704.98489. Let y = 40 - 22. Let f = y + u. What is f rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14945 is divided by 110?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*u**3 + b**2*u - 118*b**2 - 1 with respect to u.\nAnswer: -9*b**2*u**2 + b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3337 - -3363. What is the remainder when 556 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, -2\/7, 0.0333, 21\/11 in ascending order.\nAnswer: -150, -2\/7, 0.0333, 21\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -44, -4, 7.\nAnswer: -44, -4, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5329229 to the nearest integer?\nAnswer: 2309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85255660.\nAnswer: 2, 5, 7, 19, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.17 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101111011232 + -21?\nAnswer: -101111011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 - 10*q + 21. Give d(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-16 + 7 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 9*x - 9. Let o be r(6). Let z = -22 - o. Let g be z\/(-10)*2 - -8. Calculate the greatest common factor of 63 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let r(f) = -4*f - 4. Let s(k) = -9*k - 9. Let i(q) = -5*r(q) + 2*s(q). Let z = 4 - 1. Let a(x) = -x - 2. Calculate t*i(u) + z*a(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24799273?\nAnswer: 24799273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y + 142. Let l = 85 + -85. What are the prime factors of a(l)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_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: What is the second derivative of 1298*g**3*o**2*y + 4*g**3*o + g**3*y + 945*g**2*n*o**2*y + 17*g*n*o - 4*n*o*y - 117*n*y + 2*o*y wrt o?\nAnswer: 2596*g**3*y + 1890*g**2*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -40 - -6) + (-7 - -18 - 5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 1, g: 3, t: 2, k: 1, d: 3}. What is prob of sequence dbtk?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoojo. Give prob of picking 3 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 18*j**2 - 3*j - 4*j**2 + (-j + 4*j - 2*j)*(0*j + 4*j - 2*j)*(-2 - 11 + 10).\nAnswer: 8*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -73 (b) 1.3 (c) -11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/174 and 17\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 - t**4\/4 + 3*t**3\/2 - 2*t**2. Let r be a(-7). What is the second derivative of -d + d**r - 3*d + 6*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4262137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Suppose h - i + 2 = 0. Calculate the remainder when (-42)\/9*3\/(-2) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) 1 (c) 2\/21 (d) 0.3 (e) -89 (f) -2140\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/27 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + (-12412)\/3)\/((-4)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**3 + 14*f**3 + 5*f - f wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-96)\/(-32) + (4 - 1 - 51246\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 + 190. Which is the closest to 0.2? (a) -1 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 14*m - 10*m - 2*m + 7*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (392\/35)\/(-8 + (-7390)\/(-925)). Is q at least as big as -1034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 87, 2, -123, -294, -517?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6229473 and 1767?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*v + 5232 = -229*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 84*h - 35. Let z(g) = -7*g + 3. Let r(j) = -3*k(j) - 35*z(j). Let y(o) = -2*o. What is r(y(a))?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-1890)\/360*60\/(-21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 259?\nAnswer: 3\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*z + 4, 4*o + 3*z - 8 = -z. Solve 29*l + 165 = -o*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -8783\nAnswer: -8783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118424 is divided by 4365.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 2*b**2 + 10*b + 14. Let o be q(6). Suppose 2*t + 2*x - 328 = -2*x, 5*x - o = -4*t. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 5. Suppose -2*p = -w*p + 5. What is the remainder when (p\/1)\/(1\/24) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x + 30. Suppose -5*y + 131 - x = -2*h, 4*y = -3*h - 193. What is the common denominator of ((-54)\/14)\/((-90)\/h) and 97\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -624*g + 780*g + 2184 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -886a8 (base 12) to base 4.\nAnswer: -230013200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-920)\/(-2093) - (-2)\/(-7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 2, -5, 4 in decreasing order.\nAnswer: 4, 2, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21589.52 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -16735510910?\nAnswer: 16735510914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2503595+-1\nAnswer: -2503596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m + m**3 + 0*m**3 + 7*m - 30*m**2 - 4 + 75*m**2 to r*m**2 + d + s*m + c*m**3 and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*h + h. Suppose 4*j = h + 75. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five eighths of a litre?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-801)\/(-4950) - (0 + 16\/88)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4562866 divided by 14\nAnswer: -325919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-248)*(-45880)\/370.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 7 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by 1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 17*v**2 - v - 4. Let r be s(-17). Suppose -103 - 66 = -r*l. What is the greatest common factor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*a + 2*a + 10 = 0, l + 2 = -2*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10804477 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 683 + -674. Let p(d) = -d + 3. Let l be p(6). Put l, y, 4 in decreasing order.\nAnswer: y, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*s + 2*s - 14701*t + 14700*t, 7*s + 2*t = -42 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 198662+0.3\nAnswer: 198662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6956 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 235059*z. Let l(n) = -70*n**2. Determine l(o(u)).\nAnswer: -3867691343670*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/249 and -35\/4291668.\nAnswer: 356208444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-282)\/(-4) + (174\/12)\/(-29). List the prime factors of ((-16)\/14)\/(-4) + 74040\/l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3930*k + 86656 = -270974 for k.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-30)*-8)\/((5060\/150)\/(-23))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:29 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4.4 (b) 6 (c) -3931\/3 (d) -3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3630435 + 0.363. What is g rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(7\/(-2))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 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: Simplify 1*((-4*(1 + sqrt(343)) - sqrt(343))**2*-5 + 1 + (sqrt(343) - (-1*((1 + sqrt(343))**2 + sqrt(343) + sqrt(343)) + sqrt(343)))) + -3.\nAnswer: -42613 - 1372*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-10) + 22\/(-55). Let p be (-13)\/15 + z\/3. Let u = 4\/71 - 186\/781. Sort u, 1\/11, -3, p in decreasing order.\nAnswer: 1\/11, u, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -103. Is 4\/((-12)\/p) - -216 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m - 3. Suppose 29*l + 19*l + 78 = 9*l. Let p(n) = -n**2 - n + 3. Determine l*a(o) - 3*p(o).\nAnswer: o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = b + 3*a, -2*b + a = -3*b - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 9. Calculate g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 11*w**2 + 26*w + 1315. Determine q(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-56))\/((160\/(-120))\/((-14)\/(-3)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 81475?\nAnswer: -81472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*c + 106*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159910000 rounded to the nearest 1000000?\nAnswer: 160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z + 5*u - 30, 5*z - 4*u - 12 = 0. Suppose 15 = s - z. Calculate the common denominator of -97\/28 and 3\/(-2)*(-4 - s\/15).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/8 (b) -5 (c) -0.03 (d) -17\/6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/(g*(g*g**(1\/4))\/g))**(-1\/42))**(-37) assuming g is positive.\nAnswer: g**(-1073\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 165*-250\nAnswer: -41250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 211365.51 months?\nAnswer: 1761.37925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 11 = -x - 27, 5*f - 20 = -4*x. Let z(y) = -4*y + 11. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -277, -422, -567, -712?\n\"Answer: -145*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2652 and 1053486?\nAnswer: 465640812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.397 + 0.003. Let t = z - 2.4. Which is the nearest to t? (a) -0.1 (b) 2\/17 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -51723918?\nAnswer: 1\/17241306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56963 decades in millennia?\nAnswer: 0.0156963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 131*g - 1651 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -146. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371797 divided by -5.\nAnswer: 371797\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 136*c**2 + 13*c - 38. Let t = 224 - 217. Is a(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -583 + 583. Let a(v) be the second derivative of -1\/60*v**6 + 1\/40*v**5 + j - 9*v + 0*v**2 + 1\/24*v**4 - 1\/84*v**7 + 0*v**3. Let a(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -22*y. Let n(t) be the third derivative of -t**4\/4 - 217*t**2. Calculate a(n(d)).\nAnswer: 132*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 7*l - 5. List the prime factors of r(8).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3*z**2 - 7 + z + 71 + 0*z as g + f*z + w*z**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1. Let v = -48 + 47. Which is the biggest value? (a) s (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1649*h**3 + 1268*h**2?\nAnswer: 9894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -5*y, -4*y - 8*o + 7 = -3*o. Solve 0 = 4*a + y + 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 76?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 17*p - 70. Let x be w(10). Let k = -10 + 7. What is the nearest to x in -4\/5, -4\/9, k?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2*t = 13*k - 2, -4*t - 18 = -3*k. Suppose 5*s = -2*g + 2164, k*g = -3*s + 243 + 1057. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-17 - (-15 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994391267.\nAnswer: 47, 191, 110771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996.422 rounded to the nearest integer?\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 464 = -338*h + 2571. Solve -10 = 3*l - 25, 4*k + h = 5*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 0*z + 0*z**3 + 2*z**3 + z + 4*z**2. Let m be t(-1). Solve -2 + m = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (-3 - -3) - 3. Put u, -2\/7, 5 in decreasing order.\nAnswer: 5, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3\/4 - 15617*x**2\/2 - 343471*x\/4 - 281007\/2 = 0.\nAnswer: -31223, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 + 5*p**2 - 3*p + 0*p**2 - 4*p**2 + 99 + 0*p**2 in the form o*p + b*p**2 + q and give q.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241681 at most 2241683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -668*n + 10714. Suppose 4*t + 72 = s, -4*s + 193 = -2*t + 5*t. What is the remainder when s is divided by x(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) 97 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.2. Let v = 0.1 + k. Let h be -1*2\/4*-4. Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2795314866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 39*d**2 - 82*d - 78. What is f(41)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 182 - 190 = 0. Let h(t) = -737 + 3*t**d + 1472 - 735. Let m(n) = -6*n**2 - 4. Give m(h(s)).\nAnswer: -54*s**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 548878 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 3*c**2 + 2*c + 5. Calculate the remainder when 19 is divided by t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-12 + (-12 - -26) + (-91 - (5 + -4)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19880 - 16020. What are the prime factors of k?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/35009190 and -133\/175045950?\nAnswer: 175045950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2353780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 35*w**2 - 158*w - 77. Suppose -5519 = 304*c + 6337. Give x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 7*f - 4*i = 82, 2*i + 122 = 4*f. Solve -f*c - 34 - 209 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 18282?\nAnswer: -18286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1163*j + 1180*j - 1011*j + 806*j.\nAnswer: 2138*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6390575.\nAnswer: 5, 107, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 20*m**2 + 21*m + 2. Let f be k(21). Suppose 0*h = -f*h + 18. Let v = 28 + 16. What is the remainder when v is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13608059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711*u**2 - 3*u - u - 3*u - 2331*u**2.\nAnswer: -4042*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 9. Let b = -14 - -8. Let m be h(b). Suppose -p + 0*g - 4*g + 18 = 0, 0 = 2*p + m*g - 21. What is the highest common divisor of p and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 9 = 4*u + 2, 2*h = 3*u + 3. Suppose -h*x = -6*x - 6. Suppose -5*i - 8 = 2*d - 36, 4*d + 4 = 5*i. Sort -3, i, x in increasing order.\nAnswer: -3, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 - 5*r + 162 - 162 + 7*r**2.\nAnswer: -r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 43*u**2 + 75*u - 15. What are the prime factors of z(-40)?\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/3 and -20\/677.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -50. Let l = -33 - -58. Let d be (72\/(-6))\/((-12)\/6). Solve -a + d*a + l = h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, -1\/3, 4\/46513?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 - 3. Let t = k + -102. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 15*q - 1. Suppose 156*h = 177*h - 210. What is p(h)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-24)\/4 - -7. Suppose p - 4*t = 37, -n*p - 2*t + 79 = -4. Let h = 34 - p. Solve -u + h = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -346883.8?\nAnswer: 346883.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 31 (c) 2\/41 (d) -3\/13 (e) -256 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f - 31. Calculate the remainder when 36 is divided by l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111030 - 0?\nAnswer: -111030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h + 0*h)*(-1 + 1 - 3*h)*(4 - 4 + 6 - 3 - 2 + 3 + 2 + 1 - 1 + (2 - 1 - 3)*(2 - 5 + 4) - 6 + 3 + 4 - 3 + 4 - 2).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*y = -26, -267*y = -5*i - 265*y + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375551345*o**3 - 7*o**2 + 266*o - 73925.\nAnswer: -2253308070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3838, 21, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12970*m - 12988*m + 2028114 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 127 + 37. Let j(g) = 21*g**2 + 5*g + 3. Let o be j(-3). Let y = r + o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 76. Solve -a = -s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-280)\/25)\/4)\/((240\/(-75))\/(-4))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 966 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*b - 7*b + 123*b + 207*b**4 wrt b?\nAnswer: 2484*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007982305183 to six dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - 109\/((-14061)\/903)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/1820*10*14\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhhhhhhhbhb. Give prob of picking 3 b.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1163 = -167. Let d = -953\/5 + j. Let p = -509\/668 - -2\/167. Sort d, p, -2\/11.\nAnswer: p, d, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**2 + 17*h + 7. Let z(r) = -3*r**2 + 4*r + 2. Let x(o) = 2*s(o) - 9*z(o). Let m be x(-2). Solve 0 = -m*j + 8*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -87586*g. Let t be k(6). Let q = t - -310516. Round q to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300 - 298. Let h be (4 + (-19)\/3 + x)*-3. Solve 4*b + v = 2*v - h, -5*v = 5*b - 30 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6246.521 milligrams?\nAnswer: 0.000006246521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**3 + 11596*f**2 + 3072224*f - 25321984 = 0.\nAnswer: -2603, -304, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*y - 12*y - 15*y + (6*y + 5*y + 6*y)*(0 + 1 + 0).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-662)\/(-1986) + 14\/(-60))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 - ((2 - 1) + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from oomrmrom.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 18*c**2 - 22*c - 17. Let m be u(-10). Solve 5*s = m*k - 11, -4 + 2 = -4*s - 3*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 41, 34, -1, -70, -179, -334, -541?\n\"Answer: -p**3 - 5*p**2 + 37*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -26 + (46 - 20).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/11 (b) 30\/7 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 1\/3, 13261, -3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39912819*w**6 + 152*w**2 - 373919*w + 2 wrt w?\nAnswer: -4789538280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -2*g**3\/3 + 6*g**2 - g - 290. Calculate t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 28 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181995\/23 - -7913. Factor w*t**4 - 6\/23*t**3 + 0*t**2 + 0*t + 0.\nAnswer: 2*t**3*(2*t - 3)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1946, -1944, -1932, -1904, -1854, -1776, -1664?\n\"Answer: r**3 - r**2 - 2*r - 1944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a**2 - 183*a**2 + 14*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 + 17 = 0. Suppose 0*u = -p*u + 75. Let k be (0 + -1)*(u + -7). What is k rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 100.72. Let s = 3.14 - w. Round s to one decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578 = 26*k - 176. Suppose k*l + 2176 = 33*l. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -72. Let y(r) = -98*r**2 + 74*r**2 - 5 + f. Let z(j) = 2*j**2. Calculate z(y(u)).\nAnswer: 1152*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3\/9 - 11*l**2\/3 - 85*l\/3 + 57. Determine i, given that f(i) = 0.\nAnswer: -17, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 19251169.\nAnswer: 5775350.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64843 - -64847. Let k = 5 - 3. Let i(m) = -m**3 + 2*m**2 - 2*m + 1. Let s be i(1). What is the nearest to s in -7\/3, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r + 24. Let m(f) = -9*f - 24. What is 6*m(y) + 5*t(y)?\nAnswer: y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01558 and -73284.\nAnswer: 1141.76472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 5, -0.4, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 18*n**3 + 9*n**2 + 14*n + 4. Let b be x(-3). What is b rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*a + 1 + 9 = 0, z + 5*a + 10 = 0. Is -11 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2856 and 2548266.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 336*g - 19. Let x(p) = -172*p + 10. Let z(q) = -3*v(q) - 5*x(q). Let b be z(-4). Which is bigger: 598 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Suppose 0*h - 4*h = 0. Let z = h - g. Calculate the lowest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 10*t**3 + 81*t**3 + 3*t**2.\nAnswer: 91*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, g: 1, v: 2}. Give prob of sequence fh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86742781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00923966 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*d - 6 - 8, -2*i + d = -14. Let t = 9 - i. Suppose -z = t*b - 15, 2*z - 3*b - 18 = -6. What is the smallest common multiple of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110772 rounded to six dps?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -135. Is 11 a factor of 138 + y*10\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/8))\/(o**(-3)\/o) assuming o is positive.\nAnswer: o**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a = 26*a + 330 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3124199498 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -380, 5, 0.03?\nAnswer: -380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 - 33*d + 8 - 34 - 135*d - 39. Let v be k(-3). What is the greatest common factor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17588 is divided by 2850.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66005?\nAnswer: 5, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32750312677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*r - 12 = 0, -2 = -2*r + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1761 is divided by 139?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblueill. Give prob of picking 1 u and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 115, -2\/9, -45, 0.2, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 100. Let s = -10\/19 - -59\/76. Which is the biggest value? (a) y (b) 5 (c) 3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 + 50*u - 46. Give o(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/35 and -19\/955?\nAnswer: 6685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2671, 1498, -469, -3236, -6809?\n\"Answer: -a**3 - 391*a**2 + 7*a + 3056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:11 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 543.2488 millennia?\nAnswer: 54324.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4488, 9010, 13534, 18060, 22588, 27118, 31650?\n\"Answer: x**2 + 4519*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 18*d - 13. Let m be s(4). Is 4\/33 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59973, -119932, -179875, -239802, -299713?\n\"Answer: 8*x**2 - 59983*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let c be j\/(2 + (-2)\/4). Suppose 0*t - 4*r + 8 = c*t, 2*t + 3*r = 6. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -983*l - 20. What is the thousands digit of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*u - 28 + 28)*(94 - 196 + 97)*(-1 + 7 - 3) in the form z + s*u and give s.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m**3 + 0*m**3 + (2*m - 2*m + m**3)*(-1 + 0 - 1))*(4*m + 0*m + 4*m)*(3 - 3 + 1)*(-2*m - 5 + 5)*(5 + 7 - 4).\nAnswer: 128*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 6:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/((-7040)\/(-100))*(-1)\/((-15)\/2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**5 - 3*b**5 + 4*b**5 + (2*b**3 - 2*b**2 + 2*b**2)*(3*b**2 + 0*b**2 - 5*b**2))*(4 + 2 + 0).\nAnswer: -36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*2713.5.\nAnswer: 208939.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhphpppfphfjyypbypj. Give prob of sequence bjy.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*b - 16 = -1035*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1190 + 1191. Solve -d = 2*l - 0*d - r, -5*d = -4*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*q**5 - 2*q**3*s - 2*q**3 - q**2*s - 45*q**2 - 28 wrt q.\nAnswer: 22380*q**2 - 12*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978071274 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 + 125*m - 120 = 0?\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x + 11. Let y be j(5). Let z = -27 - y. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3907*b = -3929*b - 176 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 180*u**2 - 1148*u + 1332.\nAnswer: -4*(u - 1)*(u + 9)*(u + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*j + 608 = 0, 733 = 5*l - 3*j - 880. Calculate the highest common divisor of 841 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, c: 3}. Give prob of sequence mc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v. Let k(m) = -4*m. Let g(u) = -5*a(u) - 4*k(u). Let l(s) = 3*s + 1. Let z(p) = 3*p + 2. Let d(c) = 3*l(c) - 2*z(c). Calculate -d(j) + 5*g(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 70685109908 and 12.\nAnswer: 70685109920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 23 + 37 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3231100203 - -10?\nAnswer: 3231100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/2))\/m)**(-29)*(m*(m*m**(-2\/3)\/m*m)\/m)**(-16))\/((m\/m**(-2\/9))\/m**1*m\/(m*m\/((m\/m**(-3))\/m*m)*m)*m\/m**(2\/3)*m*m) assuming m is positive.\nAnswer: m**(83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9 and 34?\nAnswer: 166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-27) + 26\/6. Solve r + 4 = k - 0*r, 2*k + 20 = -q*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a93 + 9?\nAnswer: -33a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -368905717.1 rounded to the nearest 10000?\nAnswer: -368910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 27?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 21*n**2 + 17*n - 42. What is the remainder when 53 is divided by f(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2585575 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o - 3 = 59*o + 4*b, o - 7 = 5*b. What is the nearest to 1 in o, -3, 5\/2, 3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1030 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81943039 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -476\/5 + 96. Let z = 0.2 + -0.2. Let d = 0.3 - z. Sort d, 1, u.\nAnswer: d, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.169 (b) -0.5 (c) 4\/3 (d) 0.23 (e) -186\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 5, -190, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 4*w + 5*w. Let x = w + 14. Solve x*t + 2 = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 20)\/9 - -1*1. Solve -o = 2*g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = 47*z - 190 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j = 5*h + 313, -319 = -2*j - h. Suppose -5*f + 126 = 4*v - j, -2*f = 6. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 - 5*x - 7. Let d(p) = -p**3 + 6*p**2 - p - 2. Let t be d(5). Let z = -25 + t. Let g(o) = 2*o**2 + 2*o + 3. Determine z*g(q) - 3*a(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035 - 2035 - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**3\/3 - 3*y**2 + 2*y. Let x be t(4). Factor 2*s + 3*s**4 + 7*s**2 + 5*s**4 + s**x + 2*s**5 + 12*s**3.\nAnswer: 2*s*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 v when three letters picked without replacement from vffvccfvfffvvccfcvvv.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(4 - 2) - (-2411 + 19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 31\/2 of a millennium?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/3 + 4*p**3\/3 - 56*p**2 - 240*p.\nAnswer: 2*p*(p - 10)*(p + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*r - 13531 - 15646 = -10670 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*l - 150, 3*r + 3*l = 2*l + 204. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyk when four letters picked without replacement from pspspsyspkjjkvssv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3480 + 3481. Which is the nearest to n? (a) 1\/4 (b) 0.2 (c) 1\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in 2, 14, -461?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163 - -285.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 406*s - 798*s + 550 + 393*s as u + p*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 151 = 55. What is the remainder when 69 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (248\/(-1860))\/(1\/(-10)) - (-36)\/(-28)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2490.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 6) + 1 + 0 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505012 (base 6) to base 16.\nAnswer: 9c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4. Let m(c) = -4*c**3 + c**2 - c - 1. Let p be m(-1). Suppose j*i = -3*g - 2 - p, 3*g = 2*i + 13. Is g > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243 - 174. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8819 * 14.\nAnswer: -123466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 50, -595, -1518, -2731?\nAnswer: -4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 58 = 22. Is 2556\/z - 19\/(-76) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 18. Let j be i(13). Suppose -a = k, 4*a = -2*k + j*k + 14. Solve 4 - a = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2 - 2 + s - 1. Let w = 5 + -5. Suppose w = -g + 2 + 2. Calculate a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 33888*r**2 + 10773319*r + 21411078 = 0. What is r?\nAnswer: -313, -2, 34203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.3 + 20.241. Let g = -0.441 + j. Which is the second smallest value? (a) g (b) 3 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 9, n: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 37*y + 16. Give k(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 12. Let h(n) = -2*n - 6. What is -13*h(v) + 6*p(v)?\nAnswer: -4*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.58 times -326641\nAnswer: -516092.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9310, -18627, -27942, -37255, -46566, -55875?\nAnswer: -65182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44083 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5489895 and -26\/1184095.\nAnswer: 60388845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 8 = 4*u. Let x = -17.7 + 16. Let r = x - 0.3. What is the third biggest value in 2\/3, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -5903\nAnswer: -11\/5903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 3286?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 7*s**5\/60 - 7*s**4\/8 - 14*s**2. Let g(j) = -j**2. What is y(g(b))?\nAnswer: 7*b**4 + 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1822 and 6801526?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39136?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 2*k**3 - 5*k**4 - 2*k + k**2 + 0*k**2 + k to the form q + c*k**3 + y*k**2 + l*k + v*k**4 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -58*j - 38. Let g = 161 - 166. Calculate the remainder when q(g) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*v**3 - 12*v**5 - 4*v**2 - 28*v**2 - 15*v**5 + 6*v**4 + 31*v**5 - 30*v**4.\nAnswer: 4*v**2*(v - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - 11?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 16655.335 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*s = 12. What is the derivative of 7*z**2 - 18*z**s + 5 + 5*z**2 + 13*z**2 wrt z?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/14963, -7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 163 - 479 + 2167*i**2 + 156 + 160 as p + v*i**2 + c*i and give v.\nAnswer: 2167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = -4*i - 6, 6 = -5*h - 3*i. Let p = 4 + -1. Put -3, p, h in descending order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -1.9. Let z = -21 + 18. Let j = 6\/47 + 52\/329. What is the second biggest value in j, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*x + 6*x. Suppose 49*b = 55*b - 90. Sort b, -5, x.\nAnswer: -5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.062 + -0.12. Let b = p + -28.942. Let t = -19.7 - b. What is t rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*p*x - 1112*a**2*p + 3*a*p + 26*p*x - 32*p wrt a?\nAnswer: 2*a*p*x - 2224*a*p + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 109 = i. What is the lowest common multiple of i and 20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*i = 2, -z + 2*z - 2*i + 5 = 0. Sort z, 2\/7, 5, 2.\nAnswer: z, 2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -2 - 43 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*w + 7 - 20, -4*w - 12 = -4*j. Solve 0 = 4*i + 16, -5*m + w*m = -i + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2, 0.115 in increasing order.\nAnswer: -2, 0.115, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-24 - -13) + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-43))\/((-4063)\/(-7021)). Let u = -9\/43 - s. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**5\/10 - f**4\/3 + 12*f + 9. Let y(m) be the first derivative of s(m). Suppose y(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*a - 29. Let r(m) = m**3 + 7*m**2 + 7*m + 6. Let j be r(a). Let x = 57 - 59. Does x = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:11 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/10)\/(16\/10). Let n = -15 + 15. Suppose 18 = 3*o + 3. What is the second smallest value in n, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 190\/225*5 + (-4)\/18. Let d = -3 - -7. Find the second derivative of -12*z**5 - 18*z**c + 18*z**d + 5*z wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13371 + -13258. Calculate the remainder when 245 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256 times 175729?\nAnswer: 396444624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 468 - -13c07?\nAnswer: 14271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 38. Calculate the greatest common divisor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/10 + 1428*x + 5097960 = 0.\nAnswer: -7140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7d40 (base 16) to base 12\nAnswer: -16680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w + 18*w + 10*w + 14*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-5 + -14 - -130) + (2 - 16)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 2488763?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69a74 + -2?\nAnswer: 69a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - m = 20*j - 167, -j = -m - 76. Solve 0 = 19*z + 8*z + j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 136. Let j(g) = -g**3 - 25*g**2 + 22*g + 56. What are the prime factors of j(o)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 36 = -5*g - 8, 3*g = 15. Let d be (5 + -2)*(u - 2). Solve -n = 5*w - 3*w - 1, -n = 4*w - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3682.1 - 3682. What is the nearest to 2 in -5, -357, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -52, -146, -328, -628, -1076?\n\"Answer: -5*d**3 + d**2 - 4*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -177 + 311. Suppose 0 = -5*k + h + 231. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 437*q**2 + 48816*q - 233280.\nAnswer: (q - 216)**2*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22298.05 milligrams in nanograms?\nAnswer: 22298050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -3*a**4\/4 - a**2 + a - 899. Let i(c) = -28*c**2 - 7. Determine 2*i(t) - 7*n(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090701 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1358 - 1360. Let o = -1 + 1. Let x(r) = r**2 + r - 1. Let q be x(-1). Which is the closest to q? (a) o (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 44701*j + 581327. Determine l(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155851 - -0.4748?\nAnswer: 2155851.4748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*y + 17. Let t = -35 - -37. Let f(k) = k - 5. Let q be f(5). Sort q, -3, y, t.\nAnswer: y, -3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:19 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 25*l**2 + 176*l + 2344. Calculate the remainder when v(-25) is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - x**2 + x**2)*(5*x - 18 + x + 0).\nAnswer: 18*x**4 - 54*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6350 = 4*k, 0 = -h - 2 - 0. Let m be k\/65 + -8 + 4\/(-10). Calculate the greatest common divisor of 36 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 3*x**2 + x**4 + (5*x**2 - x**2 - 3*x**2)*(5*x**2 - x**2 - 3*x**2) - 13*x**4 - 3*x**2 + 3*x**2 - 5*x**2 + 3*x**4 + 5*x**2.\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*b - 12 - 10 = 0, -3*b + 16 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/27 in -6, 13, 0.3, 84, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 15524*i**2 - 16059*i**2 + 0)*(4*i - 4*i - i**3).\nAnswer: 535*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 - 197*d**2 - 5*d - 10. Let s(w) = -w**3 - 98*w**2 - 2*w - 4. Let n(c) = -5*s(c) + 2*v(c). What is the third derivative of n(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14\/3)*h*h**(-2\/7) assuming h is positive.\nAnswer: h**(-83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 1 - 41) + -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 321*g**3 - 2*g**2 - 3*g + 6. Let h be n(2). Round h to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {a: 2, x: 2, t: 6, h: 1, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-16) + (-165)\/(-24) + -3. Let l(a) = -a**2 + 2*a + 5. Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 2*c - 1. Let r(i) = -14*i + 12. Let u be r(8). Let m be u\/(-16) + (-2)\/8. Suppose -3*l + g + 12 = m*g, g = 2*l + 5. Give f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -12438?\nAnswer: 12436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t - 581. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.34*14652\nAnswer: -34285.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -81. Suppose b = 5*j + 3*z, 2*j + 4*z = j + 17. Suppose 3*r = -t + 9, -j = -5*t + 4*r - r. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - l**2 + 4*l + 21*l**3 - 46*l**3.\nAnswer: -25*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97989469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6568 - -6528. Which is the closest to k? (a) -0.2 (b) 5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094100 = 1374*w - 1399*w. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405925.2 hours to minutes.\nAnswer: 24355512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w = 50*w - 433680. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 994412.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -105*v. Let m(y) = -1 + 1 - 257864*y + 257865*y. Calculate t(m(d)).\nAnswer: -105*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5980 = -2*p - x, 3*p + 0*x + x = 8971. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4137 is divided by 855?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*24*(-170)\/68.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, u: 2, n: 1}. Give prob of sequence qu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**6\/144 + a**5\/24 - a**4 - a. Let i(f) be the third derivative of q(f). What is i(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, h: 4, j: 3}. What is prob of picking 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2367 and -4?\nAnswer: 9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4369 * -4871.5\nAnswer: 21283583.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**5 - o**4 + o**3 - o**2 + 2. Let y(t) = -3*t**5 - 4*t**4 + 2*t**3 - 4*t**2 + t + 8. Let f(u) = 4*d(u) - y(u). Determine z, given that f(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19009303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 3. Suppose 0 = 3*m + 3 + 3. Let c be k(m). Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29302.4 less than 54856?\nAnswer: 25553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, -0.4, 0.29, 14, -7, -8, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**4\/6 - g**3\/6 - 3*g**2\/2 + 9*g. Suppose 3*x = -x - 16. Is h(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*l - 37*l**2 - 195*l**2 - 451*l**2 + 283*l.\nAnswer: -683*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l - 27. Let s(p) = p**2 + 9*p + 1. Let j be s(l). Which is bigger: j or 2\/57?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28505 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: Simplify ((-3*1*sqrt(112) - (-4 + sqrt(112) + 0))**2 - (4 + sqrt(112) + sqrt(112) + -4 + 0)**2) + 2.\nAnswer: -128*sqrt(7) + 1362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 26*c**2 + 45*c - 68. Let w be r(-24). What is the smallest value in w, 1\/27, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30461.87 to the nearest 100.\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 6:43 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13568 is divided by 6777.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526952 rounded to the nearest 1000?\nAnswer: 527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13471*d**3 - 16*d**2 + 25*d - 13. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-171)\/(-6) + 2)*-2. Let p be (-801)\/12 - (-2)\/(-8). Let l = g - p. Solve -2*a - l = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiyuiirlyyyjjuylil. What is prob of picking 1 r and 2 i?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806951 is divided by 806828.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 2*z + 3*m, z + 0*m - 55 = -m. What is the greatest common factor of 20 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 2*l)*(l - 1 + 1) + 3*l - 3*l - 2*l**2 - 2*l**2 - 3*l**2 + 7*l**2 - 1 - 7421*l**2 + 7415*l**2 + 5.\nAnswer: -5*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24667519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 less than 458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*i + 69*i - 380*i)*(-1 + 3 - 6)*(2*i**2 - 4*i + 4*i).\nAnswer: 1968*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 12\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:09 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12454542829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1685 and 3258158125?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 3132120041?\nAnswer: -3132120041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 0.535, 1.1351, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**4\/24 + 6*b**2 + 2*b. Let m(w) = -23*w. What is m(o(a))?\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:26 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-76)\/(-70) - (-2)\/(-7). Sort c, -0.1, 4 in ascending order.\nAnswer: -0.1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 18*v**3 - 12*v**3 + 35*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3241 and 13.481325487?\nAnswer: 3227.518674513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -834432*r**3 + 38507*r**2 + 4 wrt r.\nAnswer: -5006592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 489 + -126?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66448133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175860 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -0.33. What is the nearest to 0 in 0.4, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/10*6)\/((-195)\/(30225\/62))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 11*p + 66. Let o be k(7). What is the greatest common factor of o and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*(26\/(-6) + 5). Let v be (-1 - 2)\/(y\/(-2) - -1). Find the common denominator of 73\/18 and -11*(v\/(-7 - -4))\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -17 - ((22 + -27 - 1) + (1 - -68))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = -2, 5*o - 116 = -3*l. Let u = l - 22. Suppose 2*y + 5*b + 0*b = 31, -4*b = -u. Calculate the highest common divisor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 623.6 - 575. Round h to the nearest integer.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -41*k**2 + 1\/30*k**5 + 0*k**3 + 0 + 0*k + 1\/120*k**6 + 1\/24*k**4. Factor g(h).\nAnswer: h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3466 divided by -164813?\nAnswer: 3466\/164813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -210211?\nAnswer: -210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -674 - -1245. What are the prime factors of j?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636219437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1217 = -u, -2*q + 0*u - u - 484 = 0. Let d = q - -245. Solve 0 = -d*v - 6 + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -98, -148, -198?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 39*t**4\/4 - t**3\/6 - 111788*t**2. Let s(y) = -4*y + 6*y - 3*y. Determine d(s(g)).\nAnswer: -234*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 91.3 * -0.2\nAnswer: -18.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -23. Let k be 0*i\/(2 + -3). Suppose k*d = d. Solve 4 = 4*v - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -34, 2, 3 in increasing order.\nAnswer: -34, -5, 2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-450)\/42*14\/4. Let u = c - -39. Suppose -1\/2*q**2 - 1 + u*q = 0. Calculate q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 - 5*m - 7. Determine n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + a**2 - 20*a - 16. Is i(-5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -251 (c) 267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/8)\/(((-1704)\/224)\/71). Suppose -2*q + 4*v = -126 + 40, 3*q - v = 124. Let u = -5 + q. Which is bigger: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Let n(m) = -18 + 50 - 2*m - 27. Let t(a) = -a + 4. Determine c*t(x) - 4*n(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-120))\/(((-312)\/(-130))\/(45\/25))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455749599 by -57.\nAnswer: -7995607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 50, 135, 294, 551, 930?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213518 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/64)\/(1\/(-3)*2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - (-3*sqrt(153)*-2 - sqrt(153))) + sqrt(153))*-5)\/(-6*sqrt(81)*-5).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + y + 6 - 3 - y + 3 + (6 - 2 - 3)*(4 - 4 + y) + 2 + y - 2)*(595*y + 705 - 705).\nAnswer: 1190*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -1.4 (c) -3\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.3, 2, 1\/8, -1.81 in descending order.\nAnswer: 2, 0.3, 1\/8, 0.1, -1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(252) + -2)**2 - sqrt(7)))*5 - (sqrt(7) + sqrt(7)*-1 + 0)**2*-3*5.\nAnswer: -125*sqrt(7) + 1285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-6)*y))**(1\/5) assuming y is positive.\nAnswer: y**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:55 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*148\/(-17538)*-79.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96d5 + -4?\nAnswer: -96d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11639 - -a1a?\nAnswer: -1071a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)\/((-2)\/150). Suppose 3*t - 4*x - l = -8, 4*t + 4*x = 52. Let p = t - 9. Solve 6*v - 4*v = -p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 - 416*j**3 + 2*j**2 + 418*j**3)*(3*j - 3*j + 3*j**2).\nAnswer: 6*j**5 - 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 18 = p + 5*t, -5*p - 2 = 3*t. Suppose -6 = -2*j - l - l, -p*j + 12 = -l. Calculate the remainder when 8 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/8 - 153*y**2\/4 - 63787*y\/8 - 47145\/2.\nAnswer: (y - 449)*(y + 3)*(y + 140)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3672, 24510, 81070, 191214, 372804?\nAnswer: 643702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, o: 5}. Give prob of sequence eoe.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2381196, 9524788, 21430768, 38099130, 59529868, 85722976, 116678448?\n\"Answer: -h**3 + 2381200*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**3 + 8*y**2 - 6*y + 18. What is the tens digit of l(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -42. Let b = o - -29. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 5) to base 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -12. Suppose 4 - 14 = -2*m. Let y(w) = -4*w**2 - 2*w + 1. Let g be y(1). Put m, u, g in decreasing order.\nAnswer: m, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*u + 452, -4*u - 76 = 4*i + 364. Let c = -103 - u. Let j(m) = 2*m + 1. What is the least common multiple of j(c) and 11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 20*p**2 - 18*p - 10. Give l(-19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39209889*c**2 + 767924*c - 36?\nAnswer: 78419778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h - 4*h**2 + h**3 + 0*h**2 - 5 + 2*h. Suppose -44*v + 38*v = -24. Let l be k(v). Solve -c - 5 = -t + 1, l*t - 22 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y - a + 62, 4*y = -4*a + 96. Suppose -4*b + y = 3. What is the first derivative of b*g**2 + 1 + 0 - 2*g**2 - 3 wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -h + 2*h - 6, 2*r - 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*k - 1326*k + 2261*k + 2953*k + 564*k.\nAnswer: 5240*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 8*g + 25*g - g - 7*g + 17.\nAnswer: -g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 2*y**2 - 3*y + y**2 - y**2)*(2*y - 5*y + y)*(36 - 4 - 1).\nAnswer: 124*y**4 - 124*y**3 + 186*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13646235 and 615.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*56\/(-21). Suppose -12*a + 472 = -p*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + 4*4*(sqrt(1088)*2*6 - sqrt(1088)))*-4)**2.\nAnswer: -270336*sqrt(17) + 3235381344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -0.14. Let y = -0.73 + q. Let i = y + 1.1. Put 1, i, 0.2 in descending order.\nAnswer: 1, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s + 2. Suppose 5*j + 4 = -l + 4*l, s*j = 3*l + 11. Calculate the least common multiple of 9 and 2\/l + (-32)\/(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*l**2 - 1335*i**3 + 2*i*l + 7057*l**2 wrt i?\nAnswer: 12*i*l**2 - 8010*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 272, 255, 232?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1234 in -1, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -16, -90, -236, -478, -840, -1346?\n\"Answer: -4*g**3 + 2*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -2*b**7\/21 + 11*b**4\/12 - 16*b. What is the third derivative of u(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -50*j**2 - 3*j - 5. Let z(l) = -51*l**2 - 2*l - 4. Let p(n) = -2*t(n) + 3*z(n). Let f(k) = -2*k - 6*k + 3*k + 3*k + 4*k. Calculate f(p(u)).\nAnswer: -106*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 13 + 5)*(-2*d**2 + 0*d**2 + 0*d**2) + 2*d**2 - d**2 - 5*d**2 + 49*d**2 - 112*d**2 + 52*d**2)*(0*d**2 - d**2 + 0*d**2).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57184218 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 14 = -10*m. Is 5 a factor of m\/(-2 - 12\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 12. Let c be t(-5). Let o = c + 20. What is the remainder when o is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ccwcwwc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**5 + 4*q**4 + 9*q**2 - 4. Let n(v) = -11*v**5 + 7*v**4 + 19*v**2 - 7. Let a(l) = -7*g(l) + 4*n(l). What is the third derivative of a(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4568 divided by -571.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*z + 2*z = 138, 0 = h + 3*z - 69. Let u be -2 + 3 + h\/3. What are the prime factors of 19\/3 - 8\/u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 9*h**2 - 4*h. Let p be o(4). What is the nearest to -1 in 2\/5, p, 1\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5)*(n + 0*n + 10*n) - 5*n - 5*n + 5*n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 58 = 1298. What are the prime factors of a?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 20*d**2 + 45*d**4 + 60*d**2 + 3*d**5 - 8*d**5 - 120*d**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 255e - -1547?\nAnswer: 3aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29549.0447 - 29549. Which is the third biggest value? (a) k (b) -2\/11 (c) -0.5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 3*n - 556 + 0*n + 5*n.\nAnswer: 2*n - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 0.08 (b) -1\/304 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + -636. What are the prime factors of b\/(-10) + (-12)\/(-8)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -43 - -6) + (5 - 13 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + o**2)*(3*o**3 - 4*o**3 - o**3) + (6*o**2 + 8*o - 8*o)*(2*o**3 + 9*o**3 + 3*o**3) - 2*o**5 + 0*o**4 + 0*o**4 - o**3 - o**5 + o**3.\nAnswer: 79*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1064*t**2 - 46*t - 176. What is the tens digit of p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56459220 divided by 4?\nAnswer: -14114805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2058559332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:30 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 1 + y**2 + 0*y**2 - 1. Let l be x(0). Let n be (-69)\/(-12) - l\/8. Solve 2*i - 2 = -4*g + n*g, 3*g + 2 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4877?\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 8*x**2 + 6*x - 9. Let z be l(-7). What are the prime factors of ((-2)\/(-6))\/(z\/(-294))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -2)*2\/(-2). Let k(l) = 25*l**2 - 7*l - 16. Let w(j) = 17*j**2 - 5*j - 11. Let t(i) = u*k(i) - 7*w(i). Differentiate t(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by -160.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 226, 235, 248, 265, 286, 311?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4620135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 6\/(-3) - 0. Suppose -5*y + 64 + 31 = t. Differentiate -18*b**2 + y*b**2 + 2 + 3 with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10473*23\nAnswer: -240879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 582307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 17*t**2 + 2*t - 42. Let l = -3965 + 3982. Determine b(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 divided by 3?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 12 = -2*u. What is the highest common factor of u and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 - 5*k**2 + 4*k - 35. Is v(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = 0. Let y = 0 - g. Suppose y = -z + 13 + 7. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 1. Let l be r(-1). Let 3*p**2 - 54*p + 54*p + p**l = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 304061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51829117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwgr. Give prob of sequence rgww.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 436, 1039, 796, -1313, -6308, -15209, -29036?\n\"Answer: -170*f**3 + 597*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.46 + -0.44. Let n = -0.6 - z. Let p = -0.3 + n. What is the nearest to p in 3, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = -4*n, 3*n + 42 = 4*r. Solve -2*c = 3*u - 0*u + 7, u = -4*c - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25*(2 + -2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12138201 and 17?\nAnswer: 12138218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/25 of a micrometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*328805\nAnswer: 328805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -14b?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 + 15. Let m be h(0). Suppose -5 = 5*d + m. What are the prime factors of (-2)\/1*90\/d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + f + 3. Let b be t(0). Suppose 4*v + 13 = b*r, v - 1 = r - 6. Suppose -3*g + r = -4*n, -5*n = g - 21 + 6. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(3 - (4 + -2)). Factor 16*d + 9*d**3 + d**2 - 7*d**3 - a*d**3 - 4.\nAnswer: -(d - 2)*(d + 2)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0.1, 3, 929\/3, 0.3.\nAnswer: -5, 0.1, 0.3, 2, 3, 929\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.86 + 0.14. Let j = r - 12. Let x = 4.2 - 4. What is the biggest value in j, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.848 - -0.152. What is the second smallest value in -0.7, 4, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/((48\/(-112))\/((-30)\/4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7702754 (base 11) in base 16?\nAnswer: -ce7acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7491 - 5402. List the prime factors of k.\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.0451533s in weeks?\nAnswer: 0.00024809053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8\/3)\/(v\/(v*(v\/v**6)\/v)))\/(v\/v**(-4\/7)*(v*(v*v**(-7\/3))\/v)\/v))\/((v*v*v\/(v**(-7\/3)\/v))\/(v**(-1\/25)*v))**(-26) assuming v is positive.\nAnswer: v**(69196\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 728719793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*l**3 + 23682*l**2 + 18936*l.\nAnswer: 3*l*(l + 1578)*(5*l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 385964915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7741*j**5 + 2*j**4 - 14983*j wrt j?\nAnswer: 154820*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:40 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918325160.\nAnswer: 2, 5, 709, 32381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.1 + -9. Let m = -69 + t. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j + 0*j**3 - 11\/2*j**4 - 4*j**2 + 20. What is the second derivative of b(w) wrt w?\nAnswer: -132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7125767 minus 47264282?\nAnswer: -54390049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -92800 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22 + 44 - 21. Let b(d) = -2*d + 9. Let k(z) = 21*a(z) - 3*b(z). Let w be k(3). What is the highest common divisor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a**3 + 22*a**3 + 22*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143440 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = -1. Let q(x) be the first derivative of 14*x**3\/3 + x**2\/2 + 2. Is 15 a factor of q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17 - 14) + 32)*-13*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3572, 14294, 32162, 57176, 89336, 128642, 175094?\n\"Answer: 3573*x**2 + 3*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:38 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 7 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 0.063806 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*y**3 + 39*y**2 - 2*y - 13574.\nAnswer: 93*y**2 + 78*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + p - 25 + 39, -2*k + 2 = 2*p. What is the fourth smallest value in -0.4, -2\/15, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -166 + 186. Suppose 435 = -y*i + 25*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, 0.09, -1\/374852?\nAnswer: -1\/374852","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209675 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65421857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-126)\/(-294)*57\/(-6).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/(d*d**(-2\/3)))**(1\/41)*((d*d*d*(d**(-4)\/d*d)\/d*d*d)\/(d*d**(3\/5)*d))\/(d**(2\/7)\/d)**46 assuming d is positive.\nAnswer: d**(130537\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 6*j - 131. Let g be y(15). Suppose 2*w = -g, 2*x - 2*w = -4*w + 10. Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/10*15\/3. List the prime factors of (k\/45)\/(2\/15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*a = 6, 13*b + 5*a + 17 = 10*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3 + 6*u**2 + 2*u**3 + 3 + 0*u**2 - 4*u**2 - u. Suppose -2*m - 6 = -2*l + 4, 2*m = l - 9. Let w be n(l). Solve -j + 4 = w*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -0.06231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 8*z - 993*z**2 + z.\nAnswer: -993*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64865, -65643, -66421?\n\"Answer: -778*g - 64087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*d + x, 30*d + 5*x - 14 = 33*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 41. Let u = -42.1 + g. Which is the fourth smallest value? (a) -9 (b) 2\/13 (c) 0.3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1213.1 and 0.0474.\nAnswer: -57.50094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 + 4*z + 2. Let j be t(-4). Let r(b) = -2 + 12 + 1 - b**2 + 2*b**j - b. What is the tens digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0292258752 to five decimal places.\nAnswer: 0.02923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + g**2 + 2. Let n be i(0). Let m be ((-2)\/(-4) - 2\/4) + -3. Let s be n*m + 6 + -3. Let r(j) = -j**3 - 2*j**2 + 2*j - 2. Determine r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151 + 0*g**4 - 532 - 511*g + 2*g**4 + 277*g + 2004*g wrt g.\nAnswer: 8*g**3 + 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 1. Suppose 24*d = 19*d - 320. Let q = d - -32. Let m = 33 + q. Calculate h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986024 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from grugrguggrgggugggg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6153.5 + -6153. Which is the third biggest value? (a) 6\/13 (b) -4 (c) 5 (d) k (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0 + 0)*(-21 + 5 - 10) in the form s + k*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3*q - 9826*f**3 + 61*f**2 + 2*f - 15*q wrt f?\nAnswer: 48*q - 58956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10781 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/42 + 3\/(-9). Let f = 3\/575 + -16127\/5175. Let h = 158\/45 + f. Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*g + 9, 6 = -5*g - 7*q + 4*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300200 + 300043?\nAnswer: -2000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-6*(-1 + -1 + sqrt(272) + sqrt(272) + sqrt(272)))**2 - (((-1 + sqrt(17))*5 - 5*sqrt(153)) + 0)).\nAnswer: -1718*sqrt(17) + 88274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -67 + -1 + -1 - 2. Let i = j - -125. What is the greatest common divisor of i and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 11*d**2 + 31*d + 24. Let q be a(-7). Let s be (2 + -1)*(-10 + 10). Suppose s*f - 1\/2*f**q + 0 - 1\/6*f**4 - 1\/3*f**2 = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:29 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29929*c**4 + 747533*c**3 - 1633462*c**2 + 37468*c - 216 = 0. What is c?\nAnswer: -27, 2\/173, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155401 + 4?\nAnswer: 155405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-3)\/k))\/(k*k*k*k**1))**(-13\/5))**(-1\/6))**(-4\/5) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279571 - 278868.995. Let v = l - 697. Let w = -5 + v. Round w to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 10. Let w(f) = -4967*f + 2011. Let r(n) = -w(n) - 11*x(n). What is the first derivative of r(c) wrt c?\nAnswer: 4989","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 68078550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q. Let v(o) = -22*o. Give v(i(w)).\nAnswer: 440*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by 4.\nAnswer: 111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-600)*12*38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 9603 = -4*y + 9543 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-6)*30\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75150587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167205479 is divided by 61?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -36. What is the units digit of (-6)\/t + (-26)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (5\/(-5))\/(-1 + 2). Let i(g) = -g**2 - 4*g. Let z be i(-4). Solve z = -x*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2. Let h(q) = 33*q**2. Calculate c(h(w)).\nAnswer: -3267*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 45. Calculate the remainder when 139 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgckkscksk. Give prob of picking 1 c and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -44 + ((6 + -19 - -5) + 9 - 5).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 + j**4\/12 + j**3\/6 + 3*j. Let h be 0\/(20\/12 + 35\/15). Determine g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.571620481296 + 2?\nAnswer: 3.571620481296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = -j, 96 = 2*z + 12*j. Let h(d) = 8*d - 9. Let q be h(3). Solve 0 = q*x - z*x - 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and -253.\nAnswer: 14168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 145 = -117 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1881\/(-171) + (-152)\/(-10) and -2 + -2 + 1 + -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 14*j - 13. Calculate the remainder when 319 is divided by q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*j + s, 2*j - 4*s - 36 = -2*j. Suppose 3*a + 19 = -2. Let z = j + a. Solve 0 = -5*y - z*m + 2*m + 26, -2*m + 24 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, -9345, 14, -10 in decreasing order.\nAnswer: 16, 14, -2, -10, -9345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u = -74*u - 2840 + 872 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 141 = -171. Suppose -20*k - 9308 = -c*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:36 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:43 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9802, 39366, 88702, 157816, 246714?\nAnswer: 355402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(5 + -10). Suppose 0 = -217*w + 510 + 254 + 321. Suppose 0 = -0*p + 4*p. Sort p, -4\/5, w, c in decreasing order.\nAnswer: w, p, c, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 7*p = -2*p + 35, 2*z + 4*p = -30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + b - 5*b**2. Let n be 4 + -1 + 59 + 2*2. Let o(z) = -66 + n - 3*z**2. Determine p(o(m)).\nAnswer: -45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*-2*sqrt(85))\/(2*sqrt(45))*1.\nAnswer: -3 - 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192) + (sqrt(192) - (0 + sqrt(192))) + -4 + sqrt(192) + (sqrt(192) - (sqrt(192) - (sqrt(192) + 2)*-6)) + 2))**2*-5 + 0.\nAnswer: -261440 - 71680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let h(l) = -11*l**2 + 44*l + 44. Let c(s) = h(s) + 44*m(s). Give c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4204 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/980 and 8\/60 - 3043\/4080.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*p + 307 = 0, -11*s - 2*p = -14*s + 181. Suppose t = -s + 521. Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -681 + 745.1. Let m = 64 - i. Let g be (-5)\/18 - 4\/(-8). Which is the nearest to m? (a) g (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - 10\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*r + 5)*(-103*r**3 + 723*r**3 + 314*r**3) to h*r**3 + k*r + i*r**2 + z + l*r**4 and give l.\nAnswer: -1868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(1872))*1 + 1*(sqrt(1872) + 1) + (1*sqrt(1872) - sqrt(1872)) + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*a + 309. Let g(v) = 54064*v + 54063. Let k be g(-1). Put k, a, 2 in ascending order.\nAnswer: a, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*o = -14, -12*j + 5*o + 16 = -15*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/40)\/((-30)\/(-220)))\/((-30)\/(-75))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 17*l - 4. Determine n(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 286. What is the first derivative of -5*c**4 - 188*c**3 - 9 - 3 + p*c**3 wrt c?\nAnswer: -20*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173, 171, 169, 167?\n\"Answer: -2*b + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.28 - -23.28. Which is the nearest to 1\/2? (a) x (b) 1.4 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:37 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(0 - 2 + 3)*(-5*w - 9*w + 12*w - 2) + 15 - 15 - 26*w.\nAnswer: -20*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166350 = 15*i + 41055. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367580737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from -1.1.\nAnswer: -46.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -754, -925, -928, -733?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2585 - -37)\/(1 - -1) is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 - -4 - -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 + -148. What are the prime factors of ((-44)\/(-16))\/i - (-2670)\/8?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*k + k - 94*k)*(0 - 5 + 4)*(-3*k + k + 3*k).\nAnswer: 208*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/108)\/((-39)\/2106).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 67950728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 404 - 444 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 10:03 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 5*m + 670. What is the tens digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffnfninnnfgd. What is prob of sequence fnnn?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -368 + 373. What is the nearest to -1 in -3\/8, -28, 0.3, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.04, -5, -65?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.83999455 - -4.84. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*z - 11*z. Solve -3*l = n - 13, -2*n + 2*l = -z*l + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(-9*d - 17*d - d).\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112*j**2*l*q**3 + 843*j**2*q**2 + 2*j*l*q**3 - 9*l - 2*q**3 wrt l.\nAnswer: -112*j**2*q**3 + 2*j*q**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 34. What is the lowest common multiple of 11 and h(-3)?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46, -428, -1526, -3718, -7382, -12896?\n\"Answer: -63*k**3 + 20*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 894364663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 - -103. Let i = -6 - -4. Let b = i + 2.1. Sort b, -4, p.\nAnswer: -4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*v - 16, 17*v + 4*p = 19*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -2252?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12438 and 1064034?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 580230 and 10689.\nAnswer: 295337070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24258 + 24410. What is the remainder when 2298 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(5))**2 - sqrt(45)*-5.\nAnswer: 9 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1078))\/(sqrt(2) - (sqrt(72)*-2 + sqrt(72) - sqrt(72))).\nAnswer: -14*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/((-198)\/(-24)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663287277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 15*b**2 + 29*b + 9. Let l be m(-8). Let n = l + -218. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 57 = -4*u. Find the second derivative of -6*f**2 - 260*f - u*f**4 - 9*f**2 + f**2 + 246*f wrt f.\nAnswer: -36*f**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from {a: 1, j: 2, y: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-5)*(-22795)\/47 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c - 107*c + 34*c + 32*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -27*k - 36. Let z(v) = 23*v + 30. Let c(t) = 6*u(t) + 7*z(t). Let o = -3 + 8. Let n(y) = -y - 5. Give o*c(x) - 6*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/319 or -2\/3?\nAnswer: -6\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 28. Let i be z(-4). Let v = 242 - i. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331)*2 - (5 + sqrt(1331) + 0))**2.\nAnswer: -110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let s = -3\/1412 - -4257\/9884. What is the third smallest value in s, 0.1, q, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 1, y: 1, l: 3, d: 2, j: 2}. Give prob of picking 2 j and 2 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 29*j**2\/2 + 223*j\/2 - 195\/2.\nAnswer: (j - 15)*(j - 13)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f + 3*f - 2*f + (-2 + 0 + 0)*(-5*f + 4*f + 0*f) - f - 5*f + 5*f - 3*f - 5 - 4*f + 8*f.\nAnswer: -6*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - (-15 + 0))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 9:12 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q\/q**(1\/3))**(-4\/15)\/((q**(2\/7))**4*q\/q**1*q\/(q*q**1*q)) assuming q is positive.\nAnswer: q**(382\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94401 and 561?\nAnswer: 1038411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u. Let y(t) = 181*t**2 - 5*t. What is o(y(c))?\nAnswer: -543*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 8*y**2 + 25*y**3 + 2 - 3 + 0*y**2 - 6*y**2 in the form a + f*y + i*y**3 + v*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.798 - -37.598. What is the closest to -1\/5 in n, -2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/80100 and -7\/17800?\nAnswer: 160200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(i + 2*i - i) + 2 - 2 + i + 3*i - 5*i + 3*i + (0 + 5 - 4)*(2*i + 0*i - 4*i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927926*m + m**3 - 4 - 1927284*m - 2.\nAnswer: m**3 + 642*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2284.92244 + -2285. Round h to 3 decimal places.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 1:12 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 10 = 0. Suppose 5*s + 10 = r, 1 + 5 = y*r - 3*s. Let u = 55\/6 - 17\/2. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/135 + 1229\/120 and (-56)\/5 + (-3)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y. Let j(a) = 1329 - 6*a - 1329. Let k(t) = t. Let h(s) = 2*j(s) + 11*k(s). What is h(c(r))?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 544 - 5*f - 255 - 276 + 2*f + 4*f. Give n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and 23.64?\nAnswer: 2222.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 292521.\nAnswer: 292521.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -52.7. Let h = 2 - s. Let m be 1\/(1 + -3 + 0). Sort h, m, -3 in descending order.\nAnswer: h, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 times -5231?\nAnswer: 2683503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0 - 1\/2*g**3 + 17*g**2 + 0*g + 15\/8*g**4. What is the first derivative of h(v) wrt v?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + u + 9 = 0, 6*u - 3*u = -12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3*v + 100171359*q**3 + 29410*q**2*v - 2*q**2 - 115*q*v wrt q?\nAnswer: -12*v + 601028154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 2*t + 980. Let g(r) = r**2 + r - 14. Suppose 24 = 8*z - 4*z. Let v be g(z). What is the highest common factor of t and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22751455 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z**2. Let t(w) = 1425*w**2. Give m(t(g)).\nAnswer: -16245000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 228*k**2 + 1584*k - 6912 = 0. What is k?\nAnswer: -48, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.189648 minutes to milliseconds.\nAnswer: 311378.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*h**4 - 177 with respect to h.\nAnswer: -604*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 50 + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Suppose k*f - 37 = -2*x, 2*f + 3*f - 30 = 3*x. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:34 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 23*g**6\/30 - 4*g**3 + 25*g. What is the second derivative of i(u) wrt u?\nAnswer: 276*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717600 = -62*f + 137*f. Is -9570 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:27 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -100000001010010?\nAnswer: 100000001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 11 = 2*p, 9 = -p + 4*n + 31. Suppose 3*l + p*l = 0. Let j(s) = -s**3 + s**2 + s + 15. What is j(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -88, 18, -699 in increasing order.\nAnswer: -699, -88, -0.2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -10001001100110?\nAnswer: 10001001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 9:26 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 b when three letters picked without replacement from bvtooovctovtoooobo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90443, -361654, -813663, -1446464, -2260051, -3254418?\n\"Answer: m**3 - 90405*m**2 - 3*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*l + 3 - 4, l - 6 = -3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 4*m, 2*w = 4*w - 5*m - 5. Determine p, given that p**w - p**5 + p - p**5 - 2*p + 2*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8909128 is divided by 76.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -2703?\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1 - -3) + 0)\/((-1)\/(-42)). Find the common denominator of 423\/m - (-6)\/(-48) and -43\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w**2 - 17*w + 14. Let o(y) = -y**2 - 20*y - 30. Let k be o(-18). Let b(t) = 5*t**2 - 6*t + 5. Calculate k*p(a) - 17*b(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72446.28 kilometers?\nAnswer: 72446280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*n + 16. Suppose k - 35 = -0*k + 2*i, -58 = -n*k + i. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2140090, 2140164, 2140238, 2140312, 2140386, 2140460?\n\"Answer: 74*h + 2140016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwddw. Give prob of picking 3 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013295577 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + n + 3. Let y be s(0). Let i(o) = o**2 + 3*o + 2. Let z be i(-3). Is (-53)\/(y - 2 - z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 4*m - 3. Let n = 72 + -57. What is the remainder when q(9) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from {g: 3, r: 1, v: 2, d: 2, y: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) -9\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + -10?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 731664689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {q: 1, o: 2, d: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 10400?\nAnswer: 10375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 228 = 10. Let c be -1*((-6)\/2 - v). Calculate the remainder when c\/8 + 6\/8 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-12))\/(650\/(-7602)). Let r = -9\/100 + m. Calculate the common denominator of r and -79\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*k + 12295 - 12295)*(-k**3 - k**3 + 3*k**3).\nAnswer: -106*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f - 2. Let m be d(-4). Let y be m\/(-8)*(-6)\/(-9). What is the third smallest value in -1\/2, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 0*q + 3*q - 2*q + 3*q - 2*q + (-2 + 1 + 2)*(2*q + 0*q - 3*q) - 4*q + 0*q + 2*q - q - 2*q + 0*q + (2 + 2 - 6)*(-2*q + 0*q + 4*q).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/227 and 109\/10.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (1 - (-7 - -10)). Let x be 41\/(-287) - (-15)\/g. Determine m, given that -2\/11*m**x + 0 + 2\/11*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 27. Solve 2*q + d*m + m + 2 = 0, -4*q - 11 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -715, -716, -715, -712, -707?\n\"Answer: f**2 - 4*f - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -7 (c) -1.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 938, 950, 962?\n\"Answer: 12*y + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 1763?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j**2 - 9*j - 10. Let h be r(-5). Suppose -18*n = -13*n - h. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 548\/10 - ((-14)\/(-5) - 3). Calculate the greatest common divisor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14219*n**2 - 156389*n + 217. Calculate p(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*m - 10, -2634*p + 2635*p - 5*m = 5 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*n - 3*n - 3510 = 0, n - 3486 = -4*a. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 14. Let h(s) = 3 + 2*s - b + 8. What are the prime factors of h(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1979554 divided by 1.\nAnswer: -1979554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3777, -4618, -5459, -6300, -7141, -7982?\nAnswer: -8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/4 + 3 + (4 - 0). Suppose h - o + p = 0, -h + 14 + 1 = 3*o. Solve -b - b + 4 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47, -106, -165?\n\"Answer: -59*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -59*o**2 - 6*o. Let b(q) = -175*q**2 - 17*q. Let p(a) = -6*b(a) + 17*f(a). Let w(t) = 4*t**2. Calculate w(p(z)).\nAnswer: 8836*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*w - 196, -3*w + 85 = -5*w + 5*j. Let n(u) = 41*u - 284. Let k be n(6). Let z = k - w. Solve 0 = -3*g - 4*i + 3, -z = g - 2*i - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -108 - a?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625, 1251, 1877, 2503, 3129?\nAnswer: 3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnb when three letters picked without replacement from {g: 4, b: 1, w: 4, d: 3, h: 1, n: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1870921, -1870924, -1870929, -1870936, -1870945?\n\"Answer: -t**2 - 1870920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let m = 0.07 + 7.93. Let f = m - 9. Which is the nearest to -0.1? (a) -3\/7 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 28. Suppose 2032 = 4*b + 9*l - 5*l, 4*b - 2053 = 3*l. Suppose -b = -f - 327. Calculate the remainder when f is divided by t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-16)*u))**(-8\/11))**(5\/17) assuming u is positive.\nAnswer: u**(-640\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 48130 - 23236 = -5*y, -2*y + 28559 = 3*i. What are the prime factors of y?\nAnswer: 19, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -38. Let s = h + -1. Calculate the highest common divisor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -52\/65825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -515, -1720, -2943, -4190, -5467, -6780, -8135?\n\"Answer: -b**3 - 3*b**2 - 1189*b + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/2 + 687*l**4 - 3426*l**3 + 4793*l**2 - 4107*l\/2 = 0.\nAnswer: 0, 1, 3, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -4 (c) -2\/211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7183*y + 7188*y = 168435. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2250792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1956 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -1, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -164 - -171. Let v be ((-56)\/(-26))\/d*4. Determine b, given that 32\/13 + 2\/13*b**2 - v*b = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3190\/16965)\/(((-575)\/207)\/(-25))?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 3. Let n = 53 + -80. Let v = n - -19. What are the prime factors of w(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:09 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9, 0 = 3*u - 3*g - 7577 - 1459. Let o be (3\/u)\/(5\/30). Are -1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 - 534011?\nAnswer: -534440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.53 - -0.53. Let y = q - -2.1. Let a = -1.5 - y. Sort a, 1, 2\/13, -5.\nAnswer: -5, a, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -8. Let o = 10 - p. Solve 5*v - 12 = -4*l - 33, 3*l + o*v = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*d - 42 = 204. Sort d, -36, -23, 4 in ascending order.\nAnswer: -36, -23, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340956881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10318 divided by -2303.\nAnswer: 1474\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 100. Suppose r + p = 3*g, -2*r - g = -2*g + 182. Let i be (-56)\/r - 2\/5. Which is the closest to 1? (a) i (b) 0.5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = b + 53 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021823 to seven decimal places.\nAnswer: 0.0000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25.3? (a) 3\/5 (b) -1\/2 (c) -1\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (-204)\/9*-9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*z = 2*z - 75, 3*u - 2*z = 45. Suppose 0 = -21*t - 0*t + 2835. Calculate the greatest common divisor of u and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 23746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1004 + -1504. Let p = f + 499.6. Let v = 0.94 + 0.06. Which is the nearest to v? (a) -1\/4 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4240.886 weeks?\nAnswer: 42748130.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:17 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.54 + -2.54. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/((-504)\/21)*(-6)\/(-2)*1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -195*b - 182. Calculate w(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-1))\/(4\/10). Suppose 2 + 7 = 5*i + 3*h, -d*i + 15 = 5*h. Suppose i = 3*g - 3*s - 0*s - 255, g - 93 = 5*s. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(972) + 1)**2*-2.\nAnswer: -5838 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14410 - 3?\nAnswer: -14413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6051564 by 3.\nAnswer: 2017188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 890759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.16 (b) 0.2 (c) 405 (d) 0 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221597329.\nAnswer: 3, 7, 839, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -8) + 9 + -4 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b**2 + b + 1. Let i be 4\/((-4)\/3) - -1. Let t(z) be the first derivative of -z**3\/3 - z**2\/2 - z + 3. Calculate i*t(y) - 2*w(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i - 2. Let l(c) = -c**3 + c**2 - c. Suppose -8*p + 17*p = -9. Determine p*l(n) + a(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - ((-7 - -3) + 6\/(-3)). Solve u*z + 15 = -0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 27*p**2 - 2*p. Let r(n) = -79*n**2 + 6*n - 1. What is -7*m(g) - 2*r(g)?\nAnswer: -31*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8391? (a) 0.5 (b) -58 (c) 7 (d) 2\/13 (e) 3 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199714*l + 401817*l + 12*l**3 - 202104*l.\nAnswer: 12*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -1686*b + 1691*b + 175, 0 = -4*j + 5*b + 184 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, e: 3, s: 7, w: 2}. Give prob of sequence ce.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 58\/(-493) - 11156\/(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 <= -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132133, 132129, 132123, 132115, 132105?\n\"Answer: -h**2 - h + 132135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*o + 235 - 3365, 0 = -2*j - 5*o + 1252. Let d = -402 + j. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 12*k - 95. Let d be 133 - (1 + -1 + 0). Calculate the greatest common factor of d and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -225300548078.75?\nAnswer: -225300548078.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.824 times -111651\nAnswer: -92000.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -0. Suppose -a = -5*a - s*f + 18, 3*a - 5*f + 6 = 0. Suppose 4*q - 1461 = -j - 4*j, -a*j + 3*q + 882 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 43. Suppose r*d - 72 = -d. Suppose -d = -l + 19. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.3, -0.1, -4, -566, 0.1 in decreasing order.\nAnswer: 10, 0.3, 0.1, -0.1, -4, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 + 24*a**2 - a + 73. Let q(x) = -x**3 + 6*x**2 - x + 1. Calculate b(i) - 4*q(i).\nAnswer: -2*i**3 + 3*i + 69","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*i + 2*i = 0, -2*o + 5*i + 13 = 0. Let h be o\/14 - (-8)\/(-28). Find the third derivative of 3*x**4 + h*x**2 + x**2 + 6*x**2 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 5, -75 in descending order.\nAnswer: 8, 5, 1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96, -223, -380, -567?\n\"Answer: -15*z**2 - 82*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19*v + 112. Is l(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 * -1.246.\nAnswer: 0.63546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*d - 4, 12 = 4*d + 5*m + 7. Which is smaller: d or -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -5, 4, 53, 1\/1119, -6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-6)\/27*1. Put s, -1, 4, 2 in descending order.\nAnswer: 4, 2, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1*(-3 - -4). Let g(u) = -u**2 + u - 2. Let k be g(0). Suppose -2*d = -d. Put k, d, z in descending order.\nAnswer: d, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146535652.68 to the nearest 1000.\nAnswer: -146536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 60 = 3*w + 165, 5*w - 2*p + 401 = 0. Suppose -b + 106 + 81 = -2*m, 0 = 2*m - 4*b + 178. Let j = w - m. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4157 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 11*w**2 - 73*w + 98. Give f(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4605 - -27697\/6. What is the common denominator of 83\/12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 1\/4*x**2 + 0 + 34*x - 1\/6*x**3 + 1\/24*x**4. Solve l(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 482*x + 102*x - 2187 + 145*x - 81*x**2 + 3*x**3.\nAnswer: 3*(x - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264317 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1229\/5, 0.3, -19\/2, -5, -11\/2 in ascending order.\nAnswer: -1229\/5, -19\/2, -11\/2, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1. Let b = 0 - h. Suppose -2*k + q - 1 = 4*q, 4*k = -2*q - 6. Put 0, b, k in decreasing order.\nAnswer: 0, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/24 + s**3\/9 + s**2\/12 - 11. Determine o so that m(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2) + 6\/4. Let v be (-11)\/((-11)\/(-900000)) - u. Round v to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -666.4 + 666. Let d = 3\/67 + 107\/603. Which is the closest to 7? (a) o (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.4 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199310 - 199310 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3107 equal to 1\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*q**3 + 2*q - 10 - 2*q + 7 wrt q?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -4 in decreasing order.\nAnswer: 0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101011010 - -10?\nAnswer: 10101011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h + 995 - 1049 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522100691?\nAnswer: 3, 10853, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137622229?\nAnswer: 137622229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-6)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 17. Let f be g(11). Suppose 0 = 3*r - 5*o - 21 - 0, 5*r + o = 7. Solve b = -r*j + 6, -b + 40 = -f*b + 4*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191131394.\nAnswer: 2, 139, 687523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67995.\nAnswer: 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3\/74, 3, 4?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1596, -3198, -4802, -6408, -8016, -9626?\n\"Answer: -a**2 - 1599*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -0.3224\nAnswer: -12.5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -5, 22 in increasing order.\nAnswer: -5, 22, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4 + -1 + (-10)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 8*f + 1. Let z be s(7). Let c = z - 13. Put -11, c, -2 in decreasing order.\nAnswer: -2, c, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + 0*t - t)*(-8 + 8 - 9*t)*(3*t + 0*t - t) in the form k*t**2 + l + n*t + h*t**3 and give h.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0*v**2 + v**2 + 0*v**2 + 14*v - 3*v**2 + 4. What are the prime factors of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + 5 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/1 + 0\/(-14). Let d = o + 20. Let f = -25 - d. Solve -10 = -5*n + 5*j, -5*n - 3*j + 0 = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p**3 - 207936 - 5668*p**2 - 4*p**4 + 60*p**3 + 56544*p + 10*p**3 + 101*p**3 = 0 for p.\nAnswer: 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjhjhj. Give prob of picking 3 j.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3222, 3220, 3218, 3216?\nAnswer: 3214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(((sqrt(1377) - sqrt(1377)*-1)*2 + 4)**2 + -4)*-1.\nAnswer: 576*sqrt(17) + 44083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f. Let l be b(-7). Let w be (l + -1)\/((-3)\/15). Factor -4\/5*z + 2\/5 - 14\/5*z**4 - 4\/5*z**2 + 4\/5*z**w + 16\/5*z**3.\nAnswer: 2*(z - 1)**4*(2*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -274*a + 619. Let y(b) = 1372*b - 3089. Let g(v) = 11*q(v) + 2*y(v). Differentiate g(t) with respect to t.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b - 17 + b**3 - 14*b + 10*b in the form t*b + n + g*b**3 + m*b**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53980 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/366 and -8\/2937?\nAnswer: 358314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -2, 1 in descending order.\nAnswer: 36, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69388854.6 and -1.\nAnswer: -69388854.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/((-4930)\/51))\/(1\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 4680.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 5. Suppose -28 = -4*w - 0*w. Let z(v) = 3*v - 16. Let h(q) = w*k(q) - 2*z(q). List the prime factors of h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 944*j + 934*j + 4 - 5 in the form l*j**2 + v*j + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/10 < -16\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Suppose 4*y = 2*r + 34 + 46, 0 = -4*y - 5*r + 66. Let u(g) = g + y - 19. Determine x(u(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2*12\/(-16)). What is the second smallest value in y, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51256148?\nAnswer: 2, 19, 79, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 1, k: 1}. What is prob of sequence zkz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(30\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -25, 5, 408.\nAnswer: -25, -1, 5, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1, d: 1, j: 1, w: 2}. Give prob of sequence dz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31518\/85 - -3*(-4)\/(-60). Which is greater: 370 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 28\/(-8). Solve 2*f = -4*x, -1 - 1 = l*x + 3*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t + 80. Let n(j) = 2*j. What is n(y(q))?\nAnswer: -36*q + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 6075, 20509, 48621, 94971, 164119?\nAnswer: 260625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22764 divided by 7588.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107229249823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*s + 20*s + 8*s**2 + (2 - 2 + 3*s)*(2*s + 0*s + s) - 3*s**2 - s**2 + 2*s**2 + (0*s + 0*s + 2*s)*(2*s - 11*s - 12*s).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/237 (b) -5 (c) 2 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -69.2. Let o = 41.23 + -4.23. Which is the second biggest value? (a) o (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/((a*a\/(a\/(a**(-1\/4)\/a))*a)\/a))\/(a*a**0)**2 assuming a is positive.\nAnswer: a**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2142 - -16?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-98)\/(-20))\/(6\/(-45))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299 or 49\/2?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 1 x when three letters picked without replacement from {u: 1, x: 1, r: 1, h: 1, t: 1, o: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1888*b - 1315*b + 28179 + 5931 = -3961*b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - f - 2*f - 48 + 2*f + 29.\nAnswer: -f + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = 2*i - 38, -5*g + 4*i = -116. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:29 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 - 4*m + 19. Let k be v(-7). Is 9 a factor of (6\/k)\/(12\/(-348))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2826332?\nAnswer: 2, 23, 31, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 e when four letters picked without replacement from eftgtttgegtetftt.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m + 3*m + 3*l, 0 = -5*m - 3*l - 10. Let h be ((-1)\/2)\/(m\/(-172)). Let f = h + 86. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = b - 28, -3*c - 2 = -b + 2. Let d be (-3 + b\/12)*-3. Is d at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 - 180*g**3 + 172*g**2 + 180*g - 176 = 0. Calculate g.\nAnswer: -1, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 3*x**6\/8 - 79*x**5\/60 + 56*x**2. What is the third derivative of j(c) wrt c?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 13*b + 16 + 11 + (6 - 1 - 4)*(-3*b - b + 2*b).\nAnswer: -15*b + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r - 2*r. Suppose r*u - 42 = 5*u. What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1059 divided by -43\nAnswer: -1059\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 + 2 = 0. Let c = 36 + h. Let l be 4\/6 - c\/9. Is l >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 + 5*c - 6*c + 17*c. Let r be k(-3). Let j = r + 86. Calculate the remainder when j is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636729155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 30. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h + m, -2*h - m = -130 + 132. Sort h, -2, 0, 5, 343 in decreasing order.\nAnswer: 343, 5, 0, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -17\/60*m**6 + 8\/3*m**3 + 17\/15*m**5 - 16*m**2 + 0*m + 0 + 1\/35*m**7 - 7\/3*m**4. Factor n(c).\nAnswer: 2*(c - 2)**2*(c - 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-16) + 206\/16. Suppose -a*b + 8*b + 20 = 0. Let x = -575\/4 - -143. Do x and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-30)*(-4)\/1. Let f be (-20)\/(-3 + o)*-31. Let r = f + 128. Solve 0 = 4*u + 8 - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 - -64.6. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(80\/40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39438, 78879, 118320, 157761?\n\"Answer: 39441*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - x - 14. Let q be o(0). Which is smaller: q or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 35 = 15, 3*j - 25 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + 180*t**2 + 1309*t + 6. What is o(-8)?\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 6. Let c(f) be the second derivative of 17*f**3\/6 - f + 875. Give a(c(n)).\nAnswer: 17*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 - (39 - 46). Let i be 4\/10 + 6\/10. Is (7 - k) + 75\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0263423 decades in millennia?\nAnswer: 0.000263423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 531269*v**2 - 350795*v wrt v.\nAnswer: 1062538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.550817513 rounded to four dps?\nAnswer: 0.5508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2*z**2 - 9*z - 14. Determine c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 + 163 = -10*q. Let y = -93 - q. What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/570*(-15)\/12\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elelleltel. What is prob of picking 1 e and 3 l?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1149.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from mmmk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**3 + u**2 + 4. Suppose -f + 2 = 5. Let z be g(f). What is z rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 9*s + 4. Let r be z(7). Let g be (9 - 6 - 13)\/2. Sort 0, r, g in decreasing order.\nAnswer: r, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6) + (-14)\/4. Sort 1, -0.4, j.\nAnswer: j, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 262, -3, -1, 1, 6 in increasing order.\nAnswer: -4, -3, -1, 1, 6, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2. Let i = -4 - -4. Let v(y) = 0*y - 2*y + i*y. What is v(h(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, -64, -325, -836, -1681, -2944, -4709, -7060?\n\"Answer: -14*y**3 + y**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 5*d + 3*g, -28 = -4*d + 5*g - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 105*l**4 + 5*l**3 - 5*l + 310. Let d(m) = -52*m**4 - 3*m**3 + 3*m - 155. Let k(q) = -5*d(q) - 3*j(q). Differentiate k(b) with respect to b.\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192139201?\nAnswer: 3, 7, 53, 853, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -250, -3, 75, 336 in increasing order.\nAnswer: -250, -3, 75, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i + 72 = 46*i + 4*l, -3*i + 5*l = -62. Solve -10*p = -i - 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 6\/(-6))*20062\/(-28). Is y bigger than -1433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 385723*d + 40104376.\nAnswer: (d - 385619)*(d - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 348901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a\/(a*a\/((a**10*a)\/a))*a)\/a)))\/(a*a**(4\/9)))\/((a**17\/a)\/((a**(1\/30)\/a)\/a)))**(-44) assuming a is positive.\nAnswer: a**(20614\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - -1*sqrt(132)*-3)\/((-1*sqrt(120))\/sqrt(10))*-1.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - t - 1. Let k(m) = 17 - 10 + 3*m**3 - 68*m**3 + 5*m**2 + 64*m**3 + 6*m. Calculate -k(l) - 5*q(l).\nAnswer: -4*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 32 = 4*n, 3*n - 266789*o + 18 = -266786*o for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 2*v - 1. Let f be b(-1). Let n be f + -2 - (14 + -2). Let p(c) = -c**3 - 10*c**2 - c - 7. Let r be p(n). Solve -r*k = -6*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) - (sqrt(11) + 5)*-2).\nAnswer: -40 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 594993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + (1 - -5 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1993089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.329 + 1490.329. Which is greater: a or -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 30. Let x(b) = -b**3 + 60*b**2 - 60*b + 203. Let z be x(59). What is the highest common divisor of q and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-8) - (-6)\/(-8). Suppose -d*n + 163 = 4*z, -4*z - 4*n = -9*n - 123. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 5, v: 1, i: 6, s: 1}. Give prob of picking 1 i and 2 g.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24231, -24265, -24309, -24369, -24451, -24561, -24705, -24889?\nAnswer: -25119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let n(o) = o**2 + 12*o - 2. Let s be n(-12). Which is the nearest to s? (a) 5 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 5*p**2 - 4*p + 1. Suppose -3*z - 11 = -23. What is h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1372998956 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) 2 (c) -7 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19448.325 minutes in hours?\nAnswer: 324.13875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4182 - 1222 = 10*k. Suppose -2*v = -4*a + k, -a + 2*v = 6*v - 83. What is the remainder when 446 is divided by a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11254 + 20610. List the prime factors of f.\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002367 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 86200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 2\/7, -3\/4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23900 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f - 19*f - 3*f - 2)*(2*f**4 + 0*f**2 + 0*f**2) + 15 + f**5 + f**5 - 10.\nAnswer: -60*f**5 - 4*f**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6528, 13046, 19562, 26076?\nAnswer: 32588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -607.169 + 607. Round q to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/34 and -15\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/(-55) - 58\/20*-2. Let o(l) = l + 5. What is o(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5704014 decades?\nAnswer: 68.448168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29662 = 9*h + 9394. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -1\/2*v**4 + 0*v**3 - 13\/2*v**2 + 0 - 19*v. Let x(k) = -k**2 - 2. What is 6*w(d) - 39*x(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48*((-4)\/6 - -2). Suppose -2*x + 3 = s + 2*x, 3*s - 9 = -x. Is (-2 + s)\/(2\/u) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342584149?\nAnswer: 23, 59, 252457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - ((-122 - -72) + 81)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 117*w**8\/28 - w**7\/210 + 347*w**5\/12 - 3*w**2 - 19. Find the third derivative of d(c) wrt c.\nAnswer: 84240*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -5, 89, 3 in descending order.\nAnswer: 89, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjljjfffj. Give prob of sequence fj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472121.2 nanometers to millimeters.\nAnswer: 0.4721212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 2*v + u = -32. Let i = v - -29. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9)**(-21\/8))**(4\/39) assuming y is positive.\nAnswer: y**(-63\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15465018 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 217*n**2 - 49*n. Let y(h) = -3*h - 1145*h**2 + 5*h + 1136*h**2. Suppose -4*v - 24 = 4*j, -v = -0*v + 4. Determine j*k(s) - 49*y(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - s**2 + 3*s**2)*(-s + 6*s**2 + s)*(2*s - 12*s + 17 - 19).\nAnswer: 120*s**5 + 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.5, 87\/8, 3?\nAnswer: 87\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4980824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77985 is divided by 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 39 = -5*v, v + m = -0 + 6. Let k(x) = 8*x**2 - 6*x - 39. Let g(t) = -6*t**2 + 5*t + 38. Let q(i) = v*g(i) + 6*k(i). Differentiate q(p) wrt p.\nAnswer: 12*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-344)\/40) + 126\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 < -1123346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -2089, -1268?\nAnswer: -2089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1023 + 12274. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023973 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84) - sqrt(84))*5 + sqrt(84) + sqrt(84) + sqrt(84))\/sqrt(12).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-15990)\/(-5))\/(-6). Let b = 123 - i. List the prime factors of b.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0359671285 and 1.94.\nAnswer: 1.9040328715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505 = -3*o + 2*f, -15*o = -19*o + f + 680. What is the smallest common multiple of 38 and o?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from ddsdedddd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 5, k: 1, b: 1}. What is prob of picking 1 g, 1 o, 1 b, and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -50457811 at least as big as -50457813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(-5 + 5 + 3*u)*(-3 + 1 + 0)*(0 - 2 + 3) as i*u + f and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1912037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = 5*g. Let x be 99\/2 - (-2)\/g. Suppose 3*p - 5 = x. Solve 0*b = -3*b - 4*c + 14, -2*c = -4*b - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) -17 (b) -18\/5 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/90, -0.15, 1\/11, -0.4, 53, 0.4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10276624 divided by 31.\nAnswer: -331504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*c + 1632 = -47278 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1013012332?\nAnswer: -1013013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*j + 19, -20 = -5*a + 202*j - 204*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 14*i + 23. Let b be x(11). Let u = -94 + b. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -49879317 and -49879289 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066.7 rounded to the nearest ten?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 6. Let w be a(-3). Suppose 0 = -4*x + 3*g + 73, -w*x + 44 = -x - 4*g. Let f(q) = -3*q**2 - 93*q - 74. Let z be f(-30). Is z != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -274 + 533. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3784335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p = -3. Let i = 10 - 5. Which is the closest to 1\/4? (a) p (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 - -210?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/(q\/((q\/((q*q*q*q**(3\/10)*q)\/q)*q)\/q)))*q**(4\/5) assuming q is positive.\nAnswer: q**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*a + 180 = -252*a. Let r(g) = -8*g - 2. Suppose 11 + 13 = -4*v. Let u(w) = 9*w + 2. Give a*u(l) + v*r(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*c = -2701*c + 1423*c - 4378 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-7) + (-22)\/(-77). Let l = 4 - v. Sort -4, -7, l, 0 in descending order.\nAnswer: 0, l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -34. Suppose 4*u - x = u + 5*j, -5*j = u + 15. Solve -3*a + 2*a - 2 = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 30384?\nAnswer: 60768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.453 (b) -0.71 (c) 7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1*q**(-1\/7)*q)\/(q**(-8)*q*q**4) assuming q is positive.\nAnswer: q**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + i - 162, 0*p + 4*p + i - 657 = 0. Find the common denominator of 127\/96 and 1 - (2 + 175\/p).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 2*z - 2. Let u be d(2). Calculate the common denominator of (-188)\/12*(-6)\/32 and u + (-14)\/(-8) + 515\/(-220).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266770671 to the power of 1\/2, to the nearest integer?\nAnswer: 16333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/(-272)*(-136)\/51\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 34*l**2 - 160*l + 16. Let b be c(-25). Let s = -690 - b. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 6*n)*(0*n - n + 3*n) - 3*n**2 + 8*n**2 - 2*n**2 + 4*n**2 - 3*n**2 + n**2 - 2*n**2 - 5*n**2 + 2*n**2 + (3*n + 0*n - 4*n)*(-3*n + 5*n + 0*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2505522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o + 2570 = -1498 + 1500 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 129149.6626 to the nearest one thousand.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/8 and (2\/10*1)\/((-1984)\/(-2790)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 704680*m**2 - 2818660*m + 2818640.\nAnswer: -5*(m - 140932)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m - 549. Determine j(35).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9981821*-4\nAnswer: -39927284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 62116567.94 to the nearest one hundred thousand.\nAnswer: 62100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/4)*v))**(8\/3)*v**(2\/11)*v**(-2\/11)*(((v*v**10)\/v)\/v**(-4\/5))**(-3) assuming v is positive.\nAnswer: v**(-476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0155025 to four decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 21*o. Let w(p) = 5*p. Determine 2*v(s) + 9*w(s).\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -172\/9, -2\/9, -1\/6 in increasing order.\nAnswer: -172\/9, -2\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 284, 1023, 2266, 4007, 6240?\n\"Answer: -v**3 + 258*v**2 - 28*v + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-3)\/((n*n**(-4\/3)\/n)\/((n**5*n)\/n)) assuming n is positive.\nAnswer: n**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15*(-2)\/(-8)*(13 + -9) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 420*f + 5. Let m(x) = -242*x - 2. Let d(r) = 7*m(r) + 4*q(r). Determine d(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4971 + 4963. Put o, 0.3, 11\/5 in decreasing order.\nAnswer: 11\/5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18182 is divided by 1223.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/189 - 4\/18. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -43, -95, -167, -259, -371?\n\"Answer: -10*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0 (c) 0.04 (d) 0.4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 10*q + 4. Suppose 0 = -2*a - 11 - 3. Let o(m) be the first derivative of 2*m**3\/3 + 7*m**2\/2 + 3*m + 4. Give a*o(x) + 5*r(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = -5*i, i - 5*f + 25 = 6*i. Let l be 2\/(-3*(-4)\/18). Let 562*y**3 + 0*y**i + 6 - 3*y**2 - 9*y - 553*y**3 - l*y**4 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/14*(7 - 5). Let c = 24 + l. Suppose -4*h - 89 = -5*h. Calculate the remainder when h is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + 0.4. Let v = 1 - r. Let m = v + -1.999972. What is m rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 119*z + 36. Let n(c) = 59*c + 19. Give -11*n(f) + 6*p(f).\nAnswer: 65*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/21)\/((-5)\/(-5)). Let n = -61\/14 - -34\/7. Which is the nearest to 0.2? (a) m (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 + -39889.\nAnswer: -39889.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 - 1 = 0. Suppose g*v - 25 = -2*v. Let w(l) = l + 7. Let r be w(v). Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84759 - 33941. List the prime factors of q.\nAnswer: 2, 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -40. Let r = -11.5 - o. Sort r, 3, -1\/7 in decreasing order.\nAnswer: 3, r, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(18\/(-580896)). Suppose 9*f - y = -92897. Let s = f + 4429. Round s to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 321 + -313. Solve 0 = -0*j + b*j + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-168)\/(-96) - 3249\/(-4) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, -2\/17, 0.26, -0.2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 113700 to the nearest 1000.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13042241214 - -10?\nAnswer: 13042241224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -742.9999691 - -743. What is l rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -66. Let a = -50 + g. Solve a = -b, -3*t - b - b = -15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481119.3 micrograms to grams.\nAnswer: 0.4811193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202053.\nAnswer: 3, 47, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -116f40a + -5?\nAnswer: -116f40f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6836 = 13*w + 518. Suppose 4*f + 1342 = 5*q, 0 = 4*q - 3*f + w - 1559. Calculate the lowest common multiple of 10 and q.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c4 (base 16) to base 2\nAnswer: 1011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2236 - 2236. Let u = 1 + -3. Which is the biggest value? (a) t (b) -1 (c) u (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*z - 170*z + 89120. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(658\/235)\/((-42)\/36)*(-10)\/(-9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1708238721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2069 - 2*u**2 + 1784 - 2761.\nAnswer: -2*u**2 + 1092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 144 = 4*d. Solve 3*f + 5 = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 42 = -42 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2446, -10382, -23618, -42160, -66014, -95186, -129682?\nAnswer: -169508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*(-118)\/118?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:41 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -14300 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose 6*q = q + 2*n + 1264, -3*q + 771 = h*n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 + 612. Suppose 2*w - 985 = l. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 111 - 41 = 0. Let p be (464\/m + (-8)\/(-14))*5. What is the greatest common divisor of p and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 221515*c**3 - 3*c**2 + 2*c + 465757.\nAnswer: 24*c**2 - 1329090*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006511 rounded to 5 decimal places?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (0 + sqrt(2448)*1))*-5*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22491 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - 48\/(-180). Suppose 2*w - 3*x = 0, w - 2*w - 3*x = 0. What is the smallest value in w, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9765690 to the power of 1\/2, to the nearest integer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 6\/5, -143\/16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66395194?\nAnswer: 2, 33197597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -65 + 65 + 53?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010000102120 + 2?\nAnswer: 10010000102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20088, 80314, 180698, 321252, 501988, 722918, 984054?\n\"Answer: 2*y**3 + 20067*y**2 + 11*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 557829180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155\/4 + -39. Suppose -5*d - 15 = -55. Let n be -3 + 6\/20*d. What is the third smallest value in w, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -9*z**5\/5 + 5*z**4\/4 - 469*z**3\/3 + 399. Find the third derivative of j(c) wrt c.\nAnswer: -216*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3581 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3 + s**3 + 8*s + s + 0 - 3*s. Let x be 17\/5 + 2\/(-5). Let w(v) = v + 1. Let z(a) = x*w(a) - j(a). Find the second derivative of z(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = v - 2*d + 114, 3*d = 4*v - 828. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 233*t**4 - 6*t**3 - 6*t - 195. Let r(b) = 465*b**4 - 14*b**3 - 14*b - 389. Let o(p) = 7*i(p) - 3*r(p). What is the first derivative of o(d) wrt d?\nAnswer: 944*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15546 rounded to 3 dps?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n - 17. Let d be 34\/3 - ((-88)\/24)\/n. Suppose -d*r = -17*r + 474. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*d - 256*d = 14. Let t(a) = 9*a**3 - 2*a + 7. Let k(l) = 13*l**3 - 3*l + 10. Calculate d*t(i) + 5*k(i).\nAnswer: 2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3663122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4235 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90564 is divided by 8992.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67258 + 13?\nAnswer: 67272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*q - 30. What is the second smallest value in q, 3\/8, 0.3, -16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83719039 to three decimal places.\nAnswer: -0.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0) + (-2)\/2. Let s be (x + 1)*(-189)\/(-18). What is the hundreds digit of (s - 23) + (-131)\/2*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 31*h - 130. Let m be (-42 + 39)*(-28)\/6. What are the prime factors of g(m)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 12. Let w be -1 - (y - 1*18). What is the highest common divisor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/210)\/(6\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 10)*((-36)\/8 + 2). Suppose -s + 2 = -4. Put 4, s, m in decreasing order.\nAnswer: s, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*c = -33, -3*x - 27 = 3*c - 7*c. Let t(m) be the second derivative of 0 + 0*m**x - 1\/6*m**4 - 26*m + 0*m**2. Let u(b) = b. Determine t(u(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + n + 34 = -n, -k + 2*n = -13. Let r(i) = -i + 5. Let j be r(k). Let t be 5 + 4 + (j - 2). Solve -s + 13 = -0*y + t*y, 0 = 5*s - 4*y - 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3 - 22*w**2 - 1040*w - 1304771 wrt w.\nAnswer: -3*w**2 - 44*w - 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(3\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -3\/7, 6\/17, -10, 25\/4 in descending order.\nAnswer: 25\/4, 6\/17, -3\/7, -5, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/20 + (-27)\/(-15). Suppose 5*a = p*a + 12. What is the third derivative of -32*g**4 - 3*g**2 + g + 38*g**a - g wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95830886687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 334780 divided by 83695?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 14 - -12) + (2 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*g - 5*g - 5*l, -g - 3*l + 7 = 0. Suppose 962 + 2610 = g*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + 3*t, 4*a - 4 = -2*t - 6. Suppose s - 4*g - 125 = a, 0 = 2*s - 2*g - 3*g - 241. List the prime factors of s.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 120*y = 163*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000412 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -184 and -185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2253 divide 229449919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54692 and 6292?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129190 and 12910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*s - 318. Let d be (-2)\/3 - s\/(-15). Solve d*z = 2*f + 12, 2*z - 12 = 3*f + f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**2. Let t(o) = -18*o**2. Let b(c) = 14*c - 60. Let z be b(4). Calculate z*t(y) + 5*i(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 83*o**3 - 1177*o**2 + 222*o - 171. Determine k(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -292912 + -1803?\nAnswer: -294715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3366118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 4344 = -14*y. Let n = y + -594. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 2081*w**7\/210 + 953*w**5\/30 - 52*w**2 - 3*w. What is the third derivative of r(x) wrt x?\nAnswer: 49944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 3, c: 3, j: 3, d: 4}. What is prob of picking 1 c and 2 k?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 180 - 317 = -5*m, -3*j + 193 = -5*m. What is the remainder when 881 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5943390 and 163\/570?\nAnswer: 5943390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -3.3. Let y = -3 - -5.6. Let v = y - g. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*z = -309*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 534 - 7*u - 534 + 5*u. Let q(o) = -31*o**2 + 3. What is h(q(c))?\nAnswer: 62*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, u: 2, k: 8, n: 4}. What is prob of picking 1 n, 1 k, and 1 u?\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a tonne in kilograms?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1326 and 610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 - 3*a - 4. Let b be w(3). Suppose -2*s = -b*s - 846. Is s\/(-9) - 1\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a00 + 4?\nAnswer: a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 24*n - 27. Give s(26).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8733?\nAnswer: 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*i - 46 = 5*i, 0 = -i - 4. Suppose -7 = 4*f + v. Does 41 divide 0 + 1 + 122 - (5 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p - 11083 + 11083. Let v(r) = 62*r**2. Calculate v(b(j)).\nAnswer: 992*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -566, -1196, -2078?\nAnswer: -3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m + x + 1, 5*m - x = -7. Let s be 1\/(m\/2) - -23. What is the highest common factor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 6213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -6. Let n = g - -2. Calculate the lowest common multiple of 22 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4)\/x)\/(x**(2\/15)\/x))\/(x**(-4)\/(x*x**5)))\/((x**(-1))**(-9)\/(x\/x**(-5)*x*x*x*x**(1\/3)*x)) assuming x is positive.\nAnswer: x**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g. Let a(b) = 7*b**2 + 5*b. Let w = -5 - -4. Give w*a(h) - 5*v(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:28 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:28 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -29*c - 216*c**2 - 46 + 78 - 2. Let x be k(-14). Round x to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**8\/448 + t**7\/20 + 23*t**6\/160 - 7*t**5\/40 - 3*t**4\/4 - 2100*t**2. Suppose p(h) = 0. What is h?\nAnswer: -12, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084 less than 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = -73*z + 150 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 12*z + 45. Let i be q(9). Let m(r) = -3*r - 3. Let l be m(-2). Suppose -54 = -0*h - l*h. Calculate the highest common factor of h and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1220 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2763 - 2760. Let k(n) be the first derivative of 8*n**2 + 4 + 4\/3*n**y + 16*n. Factor k(o).\nAnswer: 4*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-130)*(-9 - (22 - 27)). What is the third biggest value in 8, o, 0.19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-405)\/(-2)*(36 + (-9152)\/260). Factor y*z + 90*z**2 + 2\/3*z**4 + 0 + 14*z**3.\nAnswer: 2*z*(z + 3)*(z + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 10*w**2 + 8*w + 7. List the prime factors of r(-11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -722 (base 9) to base 4.\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10181 - 10297. Sort -1\/5, j, -2 in decreasing order.\nAnswer: -1\/5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.35 and 725?\nAnswer: 725.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 4 - 76*w**2 + 0.\nAnswer: -76*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 63.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*l - 31*l - 28 = 0. What is the lowest common multiple of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1786)\/235 - (-6)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 8*p - 10. Let s(g) = -g**2. Let q(n) = -i(n) + 4*s(n). Is q(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -484*r**4 + 4*r**2 + 3*r + 929. Let i(c) = 1452*c**4 - 10*c**2 - 8*c - 2788. Let z(s) = 3*i(s) + 8*u(s). Differentiate z(a) with respect to a.\nAnswer: 1936*a**3 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (6 + -8)) + (-16 - 6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(g**4 - g**4 + g**5) - g**5 + 4*g**5 - 5*g**5 - 3*g**5 + 4*g**5 - 5*g**5.\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14539 is divided by 485.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 3*d)*(10*d - d + 5*d)*(d**3 - 2*d**3 - 2*d**2 + 3*d**2).\nAnswer: -14*d**5 + 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824517 is divided by 586?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 406 + 103 - h to s + q*h and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4200023 (base 6) to base 13.\nAnswer: -71052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*w + 582916 - 2471520 = 1624898. Is w a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(sqrt(121) + sqrt(121) + sqrt(121)*-3 + sqrt(121))*3)\/(sqrt(176) + 3*(sqrt(176) - -1*sqrt(176)) - sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -4, 4.\nAnswer: -4, -4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10056 - -24336. Round n to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97461\/(-2499)*1\/1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4643, 0, 3, -2\/5.\nAnswer: -2\/5, 0, 3, 4643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 2.8. Let f = 1.533 - i. What is f rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 52*x**2 + 923*x - 66. What is q(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 8. Let b(s) = -2 - 9*s**2 + 10*s**2 - 11. Let g be b(0). What are the prime factors of v(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 3)*(-4 + 4*c + 0*c + 3)*(5 - 2 + 2).\nAnswer: -200*c + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 248 = -28*u + 22*u + 14*h, 0*u - 3*u + 4*h - 127 = 0 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3070 (base 8) to base 3.\nAnswer: 2011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6882193303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/4 + y. Let i(z) = 0 - 1 + 1 + z. Determine v(i(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - a**4 + (-3*a**2 + 0*a**2 + 2*a**2)*(-1 - 2*a + a + 2)*(-37754 + 37754 - 297*a).\nAnswer: -298*a**4 + 297*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**3 - 5*c**2 + 7*c + 4. Let a = -2 + 1. Let q be 5\/2*(-1 + a). Let p(b) = -7*b**3 + 6*b**2 - 8*b - 5. Determine q*p(n) - 6*v(n).\nAnswer: -n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-65)\/(-3) - (-5)\/15. Let x be (-800)\/56 + (-4)\/(-14). Let d = t + x. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5560.641 + 5555. Let d = 66.6 + -61. Let v = d + x. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 17. Suppose 2*r - w*r - 1 = 0, 5*s - 3*r = 18. Solve 4*b + 2*t = s*b + 6, -4*t = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/120 + o**5\/15 - o**4\/24 - 5*o**3\/6 + 2*o**2. Let w be r(-4). List the prime factors of (w + 0)*(-7 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356 - 301. Let j = y + 393. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19544163 is divided by 587.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -459 in 4, -0.5, 3, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3 - g + 0 - 2. Let r(s) = 3. Let d(y) = 3. Let u(k) = 4*d(k) - 5*r(k). What is 2*a(x) + u(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 + 78 - 329 - 105 = 97*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + 58. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/4*(-60)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*b**3*u - 241*b**3 - b**2*u + 74*b**2 + 12*b*u wrt b?\nAnswer: 804*u - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/24 - (-12)\/32. Solve -y*n - 2*w = 1, -n = n - 3*w + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112))*2*4 + (-3 + sqrt(1008) + -1 + sqrt(1008))*2.\nAnswer: -16 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.9 times 0.8?\nAnswer: 172.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 0 + -1*17. Let o = t + 9. Let b(g) = g**2 - 1. Let q be b(1). Sort q, o, -1.\nAnswer: o, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -73455*t - 440823. Calculate r(-6).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 599927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -552 - 2*v + 277 + 4*v**2 + 273 + (-3*v + 2*v + 0*v)*(1 + v - 1) + 0*v + 0*v + 2*v**2.\nAnswer: 5*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - (-1 + 1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 16*o - 5. Let v be n(-7). Let s(q) = -9 + 1 + q + 1. List the prime factors of s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.55 from -6.067146.\nAnswer: -8.617146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 4\/13, -0.3, 109\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(3\/(12\/(-4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 88.9. Let a = -6 - j. Let i = 0 + 0.1. Is a equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 7*u + 2. Let n = 34 + -32. Let r be n\/(-11) - (-6)\/33. Suppose r = -6*s + s + 35. Calculate x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 2*o + 3*o + 4*o - 6. Let f(w) = -3*w**2. Determine f(s(p)).\nAnswer: -12*p**2 + 72*p - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 1 + 1 + 3*s**2 - s**2 + 2*s**2 + (5 - 5 - 2*s)*(0*s + 2*s - 4*s) - 2*s**2 + 3*s - 3*s + (-4*s + 2*s + 0*s)*(880 - 880 + 5*s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*r - 12462*k**3 + 18928*k*r with respect to r.\nAnswer: k**3 + 18928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -23, -40, -57, -74, -91?\n\"Answer: -17*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.996 + -19. What is i rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12169820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11611712 is divided by 666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-654)\/4905)\/(2\/(-264)))\/(3\/(15\/(-2)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from ztljnjjnnhnn.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -614 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*t = -6, 0 + 2 = t. Let h(r) = 11*r - 6. Let x be h(y). Solve -4*m = -5*v + 20, x*m - 5*v + 6 = -19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65*b - 2 - 115*b - 122*b)*(-169 - b + 169) to the form c*b + q*b**2 + o and give q.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21700 by 1550.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*m = 3*c + 901*m + 39, 0 = -5*c - 3*m - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*x - 8 = 0, -3*k + 2*x + 1 = -1. Is k at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.5 to 0 decimal places.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - -21. Let h = c + -30. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + j - 2*j)*(0*j + 3*j - 2*j) - 49*j**2 + 4658*j - 4658*j)*(1 + 0 - 2).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60525.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - 30\/20. Let s = 1.5 - 1. Put i, 2, s in increasing order.\nAnswer: i, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14226\/(-42678)*13\/((4\/6)\/(-2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2263? (a) 2 (b) 0 (c) -1 (d) 37 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y + 8*y + 1 - 1 - 112*y**3 to d*y + j*y**3 + x*y**2 + r and give j.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4562.5 years to decades.\nAnswer: 456.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 30*q**3 + 5*q. Let y(b) = b**2 - 92*b + 896. Let a be y(11). Let n(f) = -29*f**3 - 6*f. What is a*n(o) + 6*c(o)?\nAnswer: 35*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7743814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147665 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-16.969\nAnswer: -17.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 2, t: 1, i: 2, v: 1, p: 1}. What is prob of picking 1 p, 1 t, 1 d, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (15 - 9) + -13 + 20\/2. Let z(g) be the third derivative of 0 + k*g - 7*g**2 + 0*g**3 + 0*g**4 + 9\/20*g**5. Let i(u) = -2*u**2. Calculate z(i(x)).\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 11*y - 27908. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1409822 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -49. Solve i = 3*f + f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150216 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*r + 689*r - 988 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5374469.\nAnswer: 1429, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 12 + 13. Suppose j*m = -4*v + 35, -5*v - m + 3*m + 19 = 0. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174)\/77 - (-10560)\/6160?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -30*o - 369. Let k(j) = -8*j - 2. What is k(x(q))?\nAnswer: 240*q + 2950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 965, 1912, 2937, 4040?\n\"Answer: 39*i**2 + 752*i - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(8\/(-9)*78\/(-104))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q + 52 = -4*x + 79*q, 0 = -2*x - 5*q - 38. Let m(j) = 2*j**3 + 19*j**2 + 12*j + 22. Give m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j + 181*j - 12 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - q - 4*q)*(-14*q**2 - 13*q**2 + 26*q**2 - 43*q) to r*q**3 + l*q + p + u*q**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 58 - 11\/57*u**3 - 1\/1140*u**6 - 23\/228*u**4 - 2*u**2 - 13\/570*u**5 + 0*u. Find t such that v(t) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a3c (base 16) to base 9\nAnswer: 10182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88790 is divided by 318?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269800 - 5128864\/19. Let w = 34343\/228 + g. Calculate the common denominator of 95\/2 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 10*t + 140. Let w = t - -42. Suppose -15*i + 12*i + 30 = 0. What is the least common multiple of w and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c**5 - 9*c**5 + 13*c**5 + (-2*c**2 + 4*c**2 - 3*c**2)*(-2*c**3 + c**3 - c**3).\nAnswer: 19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*i + 14. Let t = 8 - i. Suppose -6*q + q + 2*x + 473 = 0, -t*x = 3*q - 271. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-103200002)\/(-6) - (-1)\/(-3). Round y to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.986 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*r + 20 = 0, -o + 3*o - r = 0. Let k = o - -6. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -966*r**2 + 638*r**2 + 560*r**2 + 616*r**2. Let u(p) = 20*p. Calculate v(u(z)).\nAnswer: 339200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53125 (base 14) in base 6?\nAnswer: 4144233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20090663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1091.3 + -124169202.1.\nAnswer: -124168110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/35)\/(418\/(-133))*((-545)\/(-120) - 5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76051444.\nAnswer: 2, 7, 881, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 2414225.\nAnswer: -3\/482845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3302\/5 + 670. Let o = -323905723962 - -37126397986495252\/114621. Let b = -2\/8817 - o. Calculate the common denominator of j and b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 226275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110100010110101 (base 2) to base 8\nAnswer: -64265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*o + 5, d + d = 3*o + 21. Let u = o - -26. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1215)\/(-39) - 4\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 76.86652kg?\nAnswer: 76866.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8720615*u*z - 48*u + 1231 wrt z?\nAnswer: -8720615*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -4, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2448) - sqrt(2448)*3) + 1 - (sqrt(425) - (-4 + (-1*sqrt(425) - sqrt(425))) - -4*(0 + sqrt(425))))**2.\nAnswer: -236*sqrt(17) + 59181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 40*c. Let i(q) = -7*q**2 - 179*q - 26. Let f(b) = i(b) - 4*r(b). Give f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - v + 378 = 6*u, 315 = 4*u + 5*v. Let q(j) = 57*j - 442. Let i be q(9). Let y = u - i. Put -4, 8, -2, y in increasing order.\nAnswer: -4, -2, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13288242 is divided by 2657644.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 - 10*f + 6. Calculate the remainder when 72 is divided by k(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1028 - 0.0562273.\nAnswer: 0.0465727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 164. Let u(f) = 84*f + 30. Give z(u(n)).\nAnswer: -84*n + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753243505.\nAnswer: 5, 7, 19, 1132697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -f + 12 - 3, -f - 27 = -5*i. Let m(c) = c**3 + 6*c**2 - 9*c - 10. Let v be m(f). Solve v = -a + 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112028663?\nAnswer: 3, 10729, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*g - 9, -2*a + 5*g = 2*a + 15. Suppose d + a*j + 8 = 2*j, -2*d - 2*j + 14 = 0. Suppose -2*i = -i - d. Solve 1 + 3 = i*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.139*-191.48\nAnswer: -409.57572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11\/5, 18, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-1704)\/24)\/3763)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, -1, 16, 68, 8, 3 in decreasing order.\nAnswer: 68, 16, 8, 3, 1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/770*10\/(-6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 233805\/(-11990)*(-5)\/((-45)\/6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 26. Let w be t(-9). Suppose -w*x - 1 = -7*x. List the prime factors of 138 - (-3 - 0 - x).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1949986 = 2*v + u, -5*u = -9*v + 4387425. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2647.9?\nAnswer: 2646.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d - 8*d - 4*d + 5*d - 4*d + d + (0*d - 4*d + 3*d)*(-3 + 1 + 1))*(5*d**2 + 23 - 23).\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - 5*s**4 + s**4)*(-745 - 1497 - 588 + 1148).\nAnswer: 1682*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2166 + 4.\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 45. Suppose -4*w + 5*w = 25. Let z = w + q. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*f - 3*o = 104*f - 4, -3*f - 3*o - 24 = 0. What is the biggest value in f, -2\/5, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 + 3*r**2 + 2*r + 1. Let f be t(-2). Let h be 0\/(-2 - (f - -4)). What is the third smallest value in h, -3\/7, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10728*i**3*l*u**3*x + 298*i**3*l*u + i**2*u**2 + i**2*x - 3*i*l*u**3 + i*l*x + 815*i*u**3 - i*u + 3*i wrt i.\nAnswer: -64368*l*u**3*x + 1788*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24702, -24944, -25224, -25560, -25970, -26472?\n\"Answer: -3*r**3 - r**2 - 218*r - 24480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243563839 is divided by 320.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4959*r + 1586*r + 3113*r + 1772*r.\nAnswer: 1512*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7275500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 6) in base 4?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2046 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 984284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2848617 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16505385 to the power of 1\/2, to the nearest integer?\nAnswer: 4063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3))**(-11)*(t*t**(1\/3))**(-2\/5) assuming t is positive.\nAnswer: t**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/2 - w**4.\nAnswer: -w**4*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.19, -12, -4?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18*d**3 + 1031*d**2 + 260*d - 1419. What is v(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/242450 and 113\/21868990.\nAnswer: 109344950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(18\/(-48) - (-53075)\/141800)?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70526479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -10, -5*d + 283880 = 5*l. List the prime factors of l.\nAnswer: 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.35 - -15.35. Which is smaller: -34 or z?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q**2. Suppose 0 = -5*g - 2*k + 28, 4*g - g + 4*k = 14. Let o(i) = 7*i + 1 - g*i - 1. Calculate s(o(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2629*k + 2642*k - 1531387. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 2724 = 2732 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 12 + 4 + 11121*g + 773*g to r*g + d and give r.\nAnswer: 11894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 452681, 452684, 452689, 452696, 452705, 452716, 452729?\n\"Answer: v**2 + 452680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -17. Which is greater: p or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-41)\/7 - (-558)\/651. Let y = 57.5 - 68.5. Which is the closest to y? (a) 0.5 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -x + 5, 3*x - 7*g - 14 = -2*g. Let s(y) = -y**3 + 2*y**2 + 2*y - 3. Determine s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3044 + -3041. Which is the nearest to q? (a) -3\/4 (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6133562 (b) -6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2969 * -0.06.\nAnswer: -178.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 23. Let j = -5 - -26. Let k be w(j). Solve -3*f + 4 + k = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 45*v - 205. Let r be x(-7). Let u = 0.12 + -0.01. Is u greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6498334t to nanograms.\nAnswer: 649833400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**2 + 2*u**2)*(1 + 0 - 3)*(-u + 5*u + u).\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*-2*(-6)\/456.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46.987 + 47. Which is the biggest value? (a) 1\/4 (b) -0.3 (c) m (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - d - 1. Let w be -41*(-5 + 6)\/(3\/(-3)). Suppose 22*i + w + 3 = 0. Determine b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 39. Let r = -86 - l. Let d = r + 11.99963. Round d to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2024823, 2024818, 2024811, 2024802?\n\"Answer: -c**2 - 2*c + 2024826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1580 and -41\/26228?\nAnswer: 131140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 2) + 2 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11937 is divided by 918.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -514 greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 75622*w - 6427879. Calculate j(85).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3453578 (base 10) to base 9.\nAnswer: -6443368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - w = 16, -4*k - 7*w + 2*w = 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*v**4 + 2*v**3 - 201*v + 2 wrt v.\nAnswer: -1488*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*j + 5300, 0*k + 3*j = 2*k - 2135. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-75)\/(-21))\/(37\/(-7) - -4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 59. Let i(f) = 2*f**3 - 7*f**2 + 5*f + 4. Let d be i(5). Let g = d + s. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdspdl. What is prob of picking 1 p and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 + 3. Let v = -0.13 + 2.13. Let m = 29 + -57\/2. Which is the nearest to m? (a) v (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458) + sqrt(1458) + sqrt(1458) + (sqrt(1458) - sqrt(1458)*-2) + sqrt(1458))\/(sqrt(6) - sqrt(30)\/sqrt(5)*-6))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6040289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6f (base 16) in base 2?\nAnswer: -1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = 9*p + 18, -14 = -3*l + p - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, r: 3, e: 3}. Give prob of picking 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245665 is divided by 164?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 179 + -1 - (3 + -4)*2. Suppose -3*h - 3*h + m = 0. Let w = h - 21. Calculate the highest common factor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.26 - -0.2601523. What is i rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 74. Solve q*i - 3 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1062 - 3976. Suppose -18460 + 7846 = 3*f. Let u = a - f. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 0*x - 2*x)*(-4 + 4 - x + (2*x + 1 - 1)*(0 + 0 + 1) + 2*x - 4*x - 2*x - 5*x + 7*x - 10*x) to the form l*x**2 + a + g*x and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 14\/3 (c) -767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/28 + 5\/28. Let s = 0.1 - 0.5. What is the smallest value in s, -5\/2, y?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 20*q**2 + 24*q.\nAnswer: 4*q*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -3*b**5\/10 - 2*b**2 + b. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 2, -2, 10.\nAnswer: -7, -2, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3, -10*g = -15*g + 3*u + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/7))**(-49))**(-2\/55) assuming o is positive.\nAnswer: o**(56\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*((-12)\/30)\/(8\/(-10)). Let b be 81\/(-12) - 3\/(-4). Let q = z - b. Is q not equal to -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 + 26*w**3 + 24*w**2 - 1105*w**2.\nAnswer: 26*w**3 - 1069*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8638 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: Let j(r) be the third derivative of r**6\/540 - 2*r**5\/135 + 5*r**4\/108 - 2*r**3\/27 + 5*r**2. Determine g so that j(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/500 and 69\/380.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + 524*7\/196. Suppose -5*z - 1 + 6 = 0, -3*m + v = 4*z. Which is the nearest to -0.2? (a) -0.5 (b) m (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 4*f + 10, 5*u - 2*f + 4 = 0. Let b(s) be the third derivative of -s**4\/24 + s**3\/3 + 29*s**2. List the prime factors of b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 19*s - 115 = -8*s. Let b = 168 + -114. Suppose -s*r = -266 - b. What is the remainder when r is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-2)\/6*1). Suppose -g = -0*g - 13. Let w = p - g. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**5 - 46*o**5 - 76*o**5 - o**5 + o**5 - o**5 + (-4 + 2 + 3)*(4*o**5 - 4*o**5 + 2*o**5).\nAnswer: -114*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027999?\nAnswer: 7, 146857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 + 6729*s**2 - 6729*s**2.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 732323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-9))\/(524\/264 - 2). Let f = -56 + q. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -7. Let z = 29 - l. Solve z = -5*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1615, 6, -2\/91?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (-6*(sqrt(80) - (sqrt(80) + sqrt(80)*2 - sqrt(80))) - ((sqrt(80) - (sqrt(80) + -1)) + 4)**2) + -5.\nAnswer: -29 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/3*1041\/(-694)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.45439?\nAnswer: -0.90878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243*p**4 + 255*p**4 + 18*p**2 - 5*p**2 - 14*p**2 + 9*p**5 - 219*p wrt p?\nAnswer: 180*p**3 + 144*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9+-3262140\nAnswer: -3262149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -7 - (0 + -1 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (4 + -14 + 0 + 0 - (-16 - -15)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 3) to base 15.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) 9 (c) 11235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/15)\/((-2034)\/(-564435))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4254 a factor of 227275549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - t - 6. Let v be z(9). Let p = -596\/9 + v. What is the closest to 1 in -1, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 249, 2007, 6725, 15861, 30873, 53219, 84357, 125745?\n\"Answer: 243*q**3 + 22*q**2 - 9*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from ggqgqggqgqqqgggqqgqq?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*y + 56, -9 = 4*a + 3*y + 55. Let o be (a - -1)*2\/(-6). Solve -r - 2*r + o = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3505, 16, 1, -2, 4, 2 in ascending order.\nAnswer: -3505, -4, -2, 1, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3689 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q\/q**1)\/q)\/q)**(6\/23)*q**(-5)*q**(5\/3)\/q)\/(q**(-1\/2)*q**(-2\/17))**32 assuming q is positive.\nAnswer: q**(787\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130 - -278. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, 100 in decreasing order.\nAnswer: 100, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(13*h + 18*h - 10*h)*(2 - 3 + 0) as w*h + q and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28870 = -4*o + 2*j, o - 2*j - 7219 = -0*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = 5. Let h(o) = r + 2*o + 0 - 4*o. Let d = -446 + 450. Determine h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -23*z + 1654. Let u be d(68). Solve -u*i - 24 = -84*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*v - 316*v - 5*t - 28 = -3, -4*t - 20 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g + 5. Suppose -b - g*j - 168 = -37, -2*b = 2*j + 278. Is b\/(-4) + (-4)\/16 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 817.008775 - 817. Round l to four decimal places.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 11*z**4\/2 - 38*z**3 + 76*z**2 + 301. Let m(n) be the second derivative of h(n). Differentiate m(y) wrt y.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(43 + -4 + -3). Let y(q) = q**3 - q - 1. Let m(w) = 15*w**3 - 18*w - 18. Calculate k*y(l) - m(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-21219)\/15498)\/11 + 2\/7 and 7\/6.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 9. Calculate w(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4950486.\nAnswer: -1\/2475243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*s**3 + 58*s**2 + 82*s wrt s?\nAnswer: 72*s + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/4 and -21\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 4*q - 5*q + 6*q to l + p*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + -5*(-2*sqrt(1800))**2).\nAnswer: -72002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252.34 + -249. Let j = -3.34 - l. Let v = -7.5 - j. Round v to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z*z*z\/((z**(-1\/10)\/z*z)\/z))\/z*z**9\/z*z)**(7\/11) assuming z is positive.\nAnswer: z**(1057\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 3)*(0*l + 0*l - l**2) + (-l + l + 6*l)*(-3*l + 3*l + 3*l) as k + z*l + y*l**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327216 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22121211110 (base 3) to base 2\nAnswer: 101001011100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 181*f**3 - 6*f**2 + 93*f - 87. Give p(1).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(11\/44)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30728)\/1012 + 30)*44\/(-42)\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 3 - 1 + 2 + 0 + (-2 + 4 - 4)*(4 + 0 - 5))*(2267*n - 2267*n - 11*n**3) - 4*n**3 + 3*n**3 - n**3.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (195\/(-55))\/3 - (-2 - -1). Let x = -0.4 + 0.46. Let t = x - -2.94. Sort v, -12, t.\nAnswer: -12, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*j + 350 - 55, 5*j = 10. Which is smaller: 93 or l?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 2*o**2 - o. Let l(z) = -z**2 - 4*z - 2. Let u be l(-4). Let v be h(u). What are the prime factors of (8\/v)\/(2\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/15, 26, 0.02, -1 in descending order.\nAnswer: 26, 2\/15, 0.02, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*k + 76*k - 105*k + 33*k**2 + 26*k**2 to the form b*k**2 + l*k + i and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876073363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzluzzzlluz. What is prob of sequence lllu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - 2*l + l)*(l + 0*l + 3*l) + 10*l**2 - 13*l**2 + 4 + 1 to w*l**2 + c + g*l and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 20) + 82 + (4 - 1) + -14.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-279)\/(-57) - 5)*(-1)\/(-1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/2 + 70311*i - 140628 = 0. Calculate i.\nAnswer: -46876, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.9 to the nearest ten.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 4:42 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:11 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 627 and 227210709.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5385, 5364, 5345, 5328?\n\"Answer: n**2 - 24*n + 5408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738\/200739*3\/(-2)*7*(-12)\/(-42)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/6 + (-12)\/(-8). Suppose -3*d + z = 3*v, 0 = -2*d - d - v + 6. Suppose d*u - 234 - 68 = 0. What are the prime factors of u?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3*g + 8*f**3 - 157*f**2*g + 24 wrt g?\nAnswer: -2*f**3 - 157*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1576 by 4.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2)*(8 - 30\/6). Sort -6, s, 4.\nAnswer: -6, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1329*j**2 - 65*j - 16. Let y(w) = -443*w**2 - 23*w - 6. Calculate -3*n(p) + 8*y(p).\nAnswer: 443*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184 or 13\/4?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37664*d**6 + 138*d**4 - 12*d**2 + 15154*d + 6 wrt d.\nAnswer: 4519680*d**3 + 3312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 4, c: 1, p: 2}. What is prob of sequence pp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456 + 638 + 6*r - 24*r)*(3*r**3 + 3*r**3 - 5*r**3 + (3*r**2 - 4*r**2 - r**2)*(4*r - 2*r + 0*r) + r + r**3 - r).\nAnswer: 36*r**4 - 364*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482351 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423154 times -0.5?\nAnswer: -211577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160*59\/29500)\/(4\/(-30))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(27 - 16 + 10)*(-3 - y + 3).\nAnswer: 63*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:21 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 642\/(-27) - 2\/9. Let a = s + 24. Suppose r - 1 = -g, -r - 2 = 4*g - 0. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4 + 921*p**3 + 9429*p**2 + 25623*p + 17118 = 0?\nAnswer: -6, -3, -1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 33*o + 3*o to s + c*o and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w + 3. Let q be z(-3). Let f(p) = -7*p**3 - 2*p**2 - 2. Let b be f(2). Let g be (-144)\/b + 2\/(-11). Put g, 3, q in descending order.\nAnswer: 3, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8669, 17365, 26075, 34793, 43513, 52229, 60935, 69625?\nAnswer: 78293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from {u: 1, s: 1, c: 1, q: 1, p: 1, b: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h - 232. Let y be r(-17). Solve j + y = 7*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114216516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -93.93?\nAnswer: -95.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/18 and 61\/192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -0.33. Let f(h) = h**3 - 4*h**2 + 2*h + 3. Let c be f(3). Suppose 5*y + m - 10 = -0*y, -3*y - 4*m + 6 = c. Put v, 1\/2, y in decreasing order.\nAnswer: y, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210210222220 (base 4) to base 9\nAnswer: -20032351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ad5 + 1?\nAnswer: -1ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114075, 116445, 118815?\n\"Answer: 2370*w + 111705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 2\/103 (c) -4 (d) 14 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -k + 4*k + 1, k + 11 = 5*z. Solve p - z = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19916 - 11298. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7689?\nAnswer: 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1297, -2702, -4195, -5776?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97426302 or 97426301?\nAnswer: 97426302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26377, 52719, 79035, 105313, 131541, 157707?\nAnswer: 183799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94237 - -94236.892569. Let o = u + 0.09848. Let r = 0.009 + o. Round r to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22032144 * -0.3\nAnswer: -6609643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 4*k - 2*l - 20, -4*k = 2*l - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -21*x + 5. Let g(r) = 1 + 6 + 5*r - 8. Calculate -9*g(f) - 2*n(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.520545 millilitres in litres?\nAnswer: 0.001520545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 - 3*l**3 - 87 wrt l?\nAnswer: -4*l**3 - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:46 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 3*y**2 + 4*y + 2. Let t(a) = a + 1. Let k be t(3). Let b be q(k). Factor 0*j - 1\/4 + 1\/4*j**b.\nAnswer: (j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 210*f - 15 = 209*f, 3*w - 5*f - 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -65 + 396 - (7 + -1). Let y = 337 - a. Let h(s) = -3*s**3 - 4*s**2 - 4*s - 4. Let m(x) = -x**2 - x - 1. What is y*m(d) - 3*h(d)?\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p + 4. Let o be u(-3). Suppose -285 = -o*h - h. Let f = 81 - h. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77004)\/(-50544)*36 + (-2)\/(-13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -44 + -2 + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 13 - 11)*(m**2 + 32*m + m**2 - 5*m) to l*m**2 + t*m + y and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28 - -25)*(1 + (-73)\/3). Find the third derivative of -n**6 - 1 - d*n**2 + 17*n**2 + 33*n**6 wrt n.\nAnswer: 3840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 - j - 1. Let x(l) = -12*l**4 + 30*l**3 + 10*l**2 + 5*l + 1829. Let b(o) = x(o) + 5*y(o). What is the derivative of b(m) wrt m?\nAnswer: -48*m**3 + 75*m**2 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135397*j**2 - 407881*j.\nAnswer: 270794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:22 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131.336 millennia in years?\nAnswer: 3131336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 17*n**3 - 5*n**2 + 5. Let l(c) = 8*c**3 - 2*c**2 + 2. Let r be 4 + 9\/(315\/(-14))*15. What is r*q(w) + 5*l(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*r**5 - 11142*r**4 - 3*r**3 + 17*r**2 - 13*r + 5928?\nAnswer: -2100*r**2 - 267408*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -260 + 265 - (3 + 23\/12)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517166530 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.4 + 14.2. Let t = 0.3 + -0.1. Sort -0.05, t, m.\nAnswer: m, -0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and -89\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h**2 + 6*h + 5. Let v be g(-2). What is the greatest common divisor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u + 225 = 0. Suppose 0 = -q - 2*q + 3*h + 45, u = 5*q + 3*h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27\/4 + -29\/4. Let d = 0.2 - 1.2. What is the third smallest value in m, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62721338 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 552 + -551. What is the closest to 0.2 in -5, g, 0.5, -2.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -322231?\nAnswer: 322300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 47624 divided by -77\nAnswer: -47624\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -118. Let g(d) = 4*d**2 + 14*d - 3. Let x be g(-4). Put x, u, -4 in decreasing order.\nAnswer: u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-28)*(-12264)\/67452?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 186.7, -4, 0.3 in descending order.\nAnswer: 186.7, 5\/2, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3*1 - -2. Let r = b - -6. What is the highest common factor of 55 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-1467)\/6 - (-2)\/(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39\/18613 - 2720900\/7977. Let n = m - -341. Which is the second smallest value? (a) -0.2 (b) 2\/3 (c) 0 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926.9489ms to seconds.\nAnswer: 0.9269489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9098600 to the nearest one hundred thousand.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*d = -4, 0 = -d + 5 - 2. Sort 6, 14, j.\nAnswer: j, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -890 - -889.99999601. Round i to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16248210 a multiple of 1749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 4*p + 3. Let s be y(-3). Let g = 11 - s. What is the third derivative of 0*a**2 + 2*a**2 - g*a**2 + 5*a**5 wrt a?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2094\/119 - 124\/7. Let n = 0.1 + -3.1. Which is the second biggest value? (a) n (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8074 + 1.69. Let i = -0.2826 + w. Let x = 0.05 - 0.35. What is the nearest to 1 in -9, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003494071 rounded to 7 decimal places?\nAnswer: 0.0000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201570876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:26 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 512*i. Let z(w) = w**2 - 64. Give c(z(h)).\nAnswer: 512*h**2 - 32768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 1 - 213*u**4 + 211*u**4 - 2*u**3 + 13*u**3 as j + m*u**2 + o*u + t*u**4 + v*u**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -241\/6. Let q be (-4)\/(-120)*-3 - (-21)\/70. What is the closest to -1\/2 in -1\/5, h, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnrrrrrrrrrr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 8*s**2 - 22*s + 49. Let j be w(10). Solve j = -5*b - 2*u, 2*b - 4*u + 9 = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 4, -2.8, -3\/1844, 2\/3 in descending order.\nAnswer: 4, 2\/3, -3\/1844, -0.02, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from lqwbmbhqwwmqqbwbmhqq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*g = -4*r + 98, -r + 21 = -2*g. Suppose -r*n + 29*n = 51610. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144564900 rounded to the nearest one hundred thousand?\nAnswer: -144600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*t**4 + 519*t**3 + 264*t**2 + t - 2615957 wrt t?\nAnswer: -204*t**2 + 3114*t + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39841951 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768174073 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/43)*f\/(f**(-9)*f))\/((f*f**(8\/13))\/(f**2*f)))**(-49) assuming f is positive.\nAnswer: f**(-282534\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633, -632, -631, -630, -629?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 61?\nAnswer: 26\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4\/4 - 7*r**3\/3 + r**2\/2 + 10*r + 6. Let g be v(-7). Suppose 0 = g*n - 200 - 289. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 4 - -2 - -1*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 111445*i**2 - 45. Let s(o) = 3*o. Calculate s(v(h)).\nAnswer: 334335*h**2 - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**3 + 4*l**2 - 8*l - 5. Let h(n) = -6*n**3 + 3*n**2 - 8*n - 6. Let f(p) = -5*b(p) + 4*h(p). Calculate f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**3*k**3 + 8148*g**3*k - 15*g**2*k**2 + 8475*g*k**3 wrt k?\nAnswer: -24*g**3 + 50850*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -492 - -1327. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326 + 360. Factor -86*i - i**3 - 10 - 12*i**2 + 14*i + j*i + 17*i.\nAnswer: -(i + 1)**2*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 160. Suppose -8*r = 9*r - 408. Suppose r*s - 27*s + 24 = 0. Calculate the highest common divisor of g and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*q + 1160, 4*q - 2*d - 1113 = -215. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 337185 and 1198644?\nAnswer: 2283416820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 5612.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuhh when four letters picked without replacement from {h: 5, u: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from gvggvgggggggvgggvvgg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 437684 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 - (-4)\/(-4)). Let f = 4 - 1. Suppose f*w = -s*w + 6. Solve -l - 16 = -5*l + u, -8 = -w*l - 3*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -k - 23. Solve c - 16 = -4*y - c, 16 = k*y - 3*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -812 - -457. Let f = -353 - m. Solve -g + 2*g = -2*b + f, -g + 3*b = 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17671*m - 17636*m - 525 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1096952392*m**2 - 1063510975 wrt m.\nAnswer: 2193904784*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*(y*y**10*y)\/y))\/(y\/(y\/y**(5\/6))))**(-1\/67))**(-16))**(-47) assuming y is positive.\nAnswer: y**(26696\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2289 + -3.228916493. What is r rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -50*b**2 + 71*b - 7. Let c(i) = 217*i**2 - 284*i + 30. What is -6*c(s) - 26*q(s)?\nAnswer: -2*s**2 - 142*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:01 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -37?\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5555709, 11111419, 16667129, 22222839?\nAnswer: 27778549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 459*h**4 - 2*h**2 - 687?\nAnswer: 1836*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/20 - 24*h**2. Suppose -3*l - 2 + 8 = 0. Let w(q) = -5*q + l*q + q. Calculate j(w(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/12*(-12)\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-190)\/20 + 3\/(12\/20). What is the nearest to 1 in -0.08, -0.2, p?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*z + 16*z**6 - 22*z**2 + 4 + 107*z + 3*z**3 + 2 - 5*z**2 wrt z?\nAnswer: 1920*z**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*f - f + 108, 3*m - 147 = 3*f. What is the greatest common divisor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 82710*h**3 - 82705*h**2.\nAnswer: -5*h**2*(h + 1)*(h + 16541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10\/7, -0.18, 3, -7217?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 16*p**2 - 21*p - 23. Let t(m) = -14*m + 74. Let s be t(6). Is y(s) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((27\/3)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 139620, 279139, 418568, 557907, 697156, 836315?\n\"Answer: -45*q**2 + 139654*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtqk when four letters picked without replacement from qtqqktqgtqttqtj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -713223*x**2 - 287566.\nAnswer: -1426446*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 5\/2*o**2 + 4*o - 1 + 1\/3*o**3. Suppose 2*b = 3*q + 3, -2*q + 0 = 2*b + 12. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3224 + -3170. Solve 0 = -50*j + s*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6362121 to the nearest integer?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -633, -2089, -4887, -9465, -16261, -25713?\nAnswer: -38259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -20, -58, -130, -248, -424, -670?\n\"Answer: -2*i**3 + i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61465 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l - 24*l = -69*l. Let g(f) = -f**3 - 4*f**2 + f - 4. Let x be g(-3). Let k = -11 - x. Solve l = -10*o + k*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 1016, 2699, 5126, 8297?\nAnswer: 12212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16929*k**3*t**3 - 16*k**3*t**2 + 7*k**2*t**3 + 2*k*t**2 + 626*t**3 - 6275544*t wrt t?\nAnswer: 101574*k**3 + 42*k**2 + 3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 2\/345, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 4, 11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(60)\/sqrt(3)*-4)\/sqrt(4) - (sqrt(5) + sqrt(25)\/sqrt(20))**2*5 - 4*(6*(sqrt(10)\/sqrt(8) + (2*sqrt(20) - sqrt(20))))**2.\nAnswer: -18225\/4 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16380 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -38, 11, 8, 3 in descending order.\nAnswer: 11, 8, 5, 3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)\/(a*a*a\/(a**(-7)*a))*(a**0)**(5\/14))**3 assuming a is positive.\nAnswer: a**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15519976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23.6*0.002241\nAnswer: -0.0528876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 + 22)*(-b**3 - 2*b**5 + b**3 + (-14 + 7*b + 14)*(0*b**4 - b**4 + 3*b**4)).\nAnswer: 120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 0.43, -13368?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a millimeter in micrometers?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 122946582791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -14. Sort 5, f, 1 in descending order.\nAnswer: f, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11180)\/2580*84\/(-13)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839 - 839 - 2*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 69482 * 148\nAnswer: 10283336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7294 + -0.2706. Let g be -2 - (28\/(-22) - 1). What is the biggest value in w, 1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730 and 9563?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 9*h**2 - 46*h - 192. Determine y(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17495, 17494, 17493, 17492, 17491?\nAnswer: 17490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*m + 24 = 0, 4*f = m + 2*m - 15. Let d(y) = y**2 + 5*y + 6. What is the units digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.428976+0.0982426\nAnswer: 2.5272186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-4)\/(sqrt(294)*-5).\nAnswer: 8*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18020025*q**5 - 54068565*q**4 - 17994554*q**3 + 54068562*q**2 - 25471*q + 3 = 0 for q.\nAnswer: -1, 1\/4245, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r**3 - r + 1. Let v be k(1). Let t = -136 - -138. What is the second derivative of 6*i**2 - 6*i - v*i**2 - 5*i**5 + 8*i**t wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-16)*(-4)\/6)\/(6\/8). Let j = 1.9 + -2.3. Put 15, u, j, 2 in ascending order.\nAnswer: j, u, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/f*f*f**(-13\/4)*(f\/(f*f*(f\/f**32)\/f*f))\/f*f*((((f*f*f**(-6))\/f)\/f*f)\/f*f)\/f*f assuming f is positive.\nAnswer: f**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 838*k**2*m**3 - 54*k**2*m**2 - 9*k**2 - m**2 wrt m?\nAnswer: 5028*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 8*j**2 - 15*j - 8. Let n be d(-6). Suppose -n*x + x = 0. Solve b + 2*m + 5 = x, b = -4*b - 5*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -17. Let b(h) = -h + 26*h**2 - 5 + r - 8. Does 9 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 3. Let f(b) = b**3 + 27*b**2 + b + 35. Let n = -56 - -29. Let l be f(n). Let c be v(l). What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, -33, -384, -1061, -2172, -3825, -6128, -9189?\nAnswer: -13116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 3 + 3*o + 9 - 11.\nAnswer: 4*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + 3. Suppose 0*o = -t*o. Suppose -3*i + 9 = -o. Solve 2 = -i*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*d + 22 = 0, -13*q + 3*d - 9 = -11*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, z: 2, j: 7}. Give prob of picking 2 j.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -49*x - 13. Let h(g) = -48*g - 14. Give 6*h(a) - 4*s(a).\nAnswer: -92*a - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67450, 134925, 202418, 269929, 337458?\nAnswer: 405005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 3*j + j + (-2 + 2 + j)*(66 - 474 - 99).\nAnswer: -504*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -1565 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.325 and -23126.807309?\nAnswer: 23127.132309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((572\/(-33))\/26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.624 (b) -3\/4 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236454028 rounded to the nearest 1000000?\nAnswer: 1236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2 (c) -5275 (d) 1 (e) -5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9699?\nAnswer: 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.250191918555 and -10?\nAnswer: 9.749808081445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -11. Let o be (-2)\/9 + 80\/36. Suppose w - o = 4. What is the least common multiple of c and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*j = -141*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.777 + 0.223. Which is the second smallest value? (a) -2\/7 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-12 - 21) - 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.45 and 1.\nAnswer: 6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + ((sqrt(351)\/(sqrt(63)\/sqrt(7)))\/((sqrt(9)*1)\/sqrt(3))*3)**2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Suppose -6*v - 35 = v. Let f = -0.1 + -1.9. Which is the closest to f? (a) i (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.634 - 0.767. Let k = -0.87161 + y. What is k rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73.31649 millilitres?\nAnswer: 0.07331649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28395*z**2 + 426372 wrt z?\nAnswer: 56790*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38 + 85?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 > 852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 78, 114, 164, 228?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266000.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 687.8161 weeks?\nAnswer: 4814.7127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 960*a + 4*a**4 - 2 + 961*a - 3*a**4 in the form p + r*a + g*a**4 + m*a**3 + y*a**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 0*r + r - 22.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i + 148. Let m be p(-18). Suppose -m*r = -2*x + 34, 0*r + 5*r + 105 = 5*x. Solve 4*f - x + 45 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p - 2*p)*((3 - 3 - 2 - 4 + 3 - 1 + 1 + 5 - 4 + 1 - 1 + 1 - 4 + 2 + 1 + (-1 - 2 + 4)*(3 - 2 - 2))*(2*p - 1 + 1) + 16*p - 62 + 62).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 20 = 5*n, 5*y - 10*y = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (4 - (2 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282400 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20294 + 20293. Put 0, p, 1, 69, -3 in increasing order.\nAnswer: -3, p, 0, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 104207940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {g: 8, z: 7, n: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + (135\/234)\/((-17)\/(-136))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 11 = 3*s, -4*c - 19*s - 29 = -24*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/14*((-204)\/5 + 38)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12345855 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 199505.84.\nAnswer: -2593575.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c + 168 = 32*c. Which is smaller: c or -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/252201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4\/3 - 15*v**3 - 89*v**2\/3 - 9*v + 13\/3 = 0.\nAnswer: -1, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.073 - 4.927. What is the fourth biggest value in 5, f, 2, 14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 3*c = 35, -2*u - 5*c = -14. Let q(f) = 8*f**2 + f**3 - f**3 - 7*f + 7 - f**3. What are the prime factors of q(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-21)*222\/2. Suppose 5*r = 2*r - 66. Let s = r - h. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.004 + 1.936. Let y = c - 1.942482. What is y rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = -x. Let t = -16 - -24. Let z = -11 + t. Which is the closest to -2? (a) x (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65047291*n + 20 + 32523646*n - 20 + 32523644*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-10)*(-16)\/6. Let k be ((-2)\/y)\/(2\/(-4)). Let i = 2\/477 + 157\/477. Which is the nearest to -0.1? (a) k (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**2 + 270*n - 270*n.\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82520950*g**3 + 13122451*g**2 wrt g.\nAnswer: -495125700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20742141 to the nearest integer?\nAnswer: 4554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42450a (base 15) to base 12\nAnswer: 1080a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1001 and -3310.\nAnswer: -2309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2248*j - 42706. Let b be o(19). Let k = 11 + -8. Put k, 9, b, 1 in increasing order.\nAnswer: 1, k, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, f: 1, h: 2, b: 2}. Give prob of sequence xu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67803901313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (14 - (2 - -11)) - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 14 + 34)*(0*k**4 - 2*k**4 - 2*k**4).\nAnswer: -120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998426 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1 - x - 3 - 4*x + 1. Suppose 0 = -2*u + 3*u + 3. Let g(w) = -6*w - 1. Calculate u*g(j) + 4*f(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 9a70a?\nAnswer: 9a708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-308))\/(6\/8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*39\/4)\/(2*(-3)\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 6*o**2 + 7*o - 2. Let r be i(2). Solve -m + 1 = r*q, 5*m - 3*q = -74 + 56 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b = -5*o + 50, -2*o - 5*b - 15 = 0. Suppose 5*m = -o, -3*t + t - m = 23. Sort t, 1, 3 in ascending order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/10, -0.48, 7, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14542 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 3*l**2\/2 - 8775. Let n(b) be the first derivative of 29*b**3\/3 - 2. Determine s(n(t)).\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24704\/16 - (-8)\/(-2). Let h be (-1 - -5) + 3179\/f. Let m = h + -83\/28. What is the common denominator of m and -25\/13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8060028 and 8059969 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1217 - 1216.7. Sort -2, r, 0.16.\nAnswer: -2, 0.16, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*k + 8*k + 290330. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86*440655.\nAnswer: -37896330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 31. Let s = 0 - -1. Calculate the remainder when g(-5) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127329312?\nAnswer: 2, 3, 11, 120577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-342)\/57)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*z + 786*z - 2*z**3 + 802*z + 951*z - 121*z**2 + 91*z**2.\nAnswer: -2*z**3 - 30*z**2 + 2116*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/12*(813\/(-135) - -10) and -71\/198.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -28.7.\nAnswer: -114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4246 - 4222. What is the greatest common factor of h and 992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = -16*q + 40*q + 290 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 8*h**2 + 7*h - 22. Let j be i(-9). Let x(g) = -6*g - 11. Let v be x(j). Solve 2*y - 5 + v = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -32. Solve -3*s = j - 3*j + 7, 3*s = r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1038128 by -46.\nAnswer: 22568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 q, and 1 n when four letters picked without replacement from {r: 4, i: 3, q: 3, n: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2893 times 48?\nAnswer: -138864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*k + 549*k - 33*k**2 + 8*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*k = 7*i + 15, i = -5*k. Sort 1, -13, i.\nAnswer: -13, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1526937646 minus 1278?\nAnswer: -1278.1526937646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a + 2. Give n(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82679400 rounded to the nearest one hundred thousand?\nAnswer: 82700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -53 (c) -0.3 (d) -3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 9 - 32 - -3 - -132 - -3?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391889732?\nAnswer: 2, 13, 23, 327667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*f = 64, -5*f + 17 + 27 = 4*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5172 rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**7\/30 - m**4\/3 + 12*m**2. What is the second derivative of s(p) wrt p?\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/38, -0.02, -0.1, -1\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 - 31*f - 3*f**2 + 31*f. Let z(j) = 12*j**2. Determine z(x(i)).\nAnswer: 48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:54 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820347 divided by 11?\nAnswer: -8820347\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67458 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.550961838 rounded to 4 decimal places?\nAnswer: -15.551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 14*d**2 + 8*d + 8. Let c be k(7). Let f(w) = -c - 12*w**2 + 2*w + 65 - 10*w**2. What is f(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7339?\nAnswer: 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 10*d + 12. Let i be n(8). Does -4 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/4707993 and -61\/35.\nAnswer: 164779755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 280451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6*w**2 - 7*w**2 + 0 + 211*w.\nAnswer: -w**2 + 211*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 6, a: 5, v: 2, u: 3}. What is prob of picking 1 u, 1 l, and 1 v?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 4*u - 8. Let g be 2\/(2 - 5\/2). Let o(k) = -3*k**3 + 5*k - 8. Let r(w) = g*o(w) + 5*a(w). Find the first derivative of r(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 82\/5*m**2 - 52\/5*m - 6\/5*m**3.\nAnswer: -2*m*(m + 13)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {m: 2, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.074775 litres in millilitres?\nAnswer: 6074.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 5*t, 2*n - 3*t = -2*n + 31. Let f = n - 14. Let q be 31\/4 + (-1)\/f. Calculate the highest common factor of q and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibjciiiiuiiiuik. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 757557 and 738?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2 + 2)*(0*k - 2*k - k)*(-186 + 308*k + 186).\nAnswer: 924*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 + 245. Calculate the common denominator of (-12)\/4 + 98\/9 and 2\/9 + q\/72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3.1. Let t = -39 + 197\/5. Let l = 7\/5 - 61\/40. What is the nearest to -1\/3 in t, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0186853 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 + 3*b + 3. Let i(y) = 198*y**2 + 55*y + 55. Let c be (-2)\/1 - (13 - -40). Give c*j(z) + 3*i(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c0487 - 2?\nAnswer: -c0489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -16 + (8 - -40) + 7 + -1 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 - 13*t**3\/6 - t**2\/2 + 3*t. Let y be z(13). Let j(d) = -6*d**3 - d**2 + d + 1. List the prime factors of j(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(336\/(-60)))\/(355\/71)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 - 53 = 0. Let j be x\/5*28\/8. Let m = -4 - j. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -621 divided by -5?\nAnswer: 621\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -4 (c) 0 (d) -3\/19 (e) 0.04 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 50776410?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-6)\/(90\/(-35)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1283, -1302, -1321, -1340?\n\"Answer: -19*n - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 15) to base 8\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18547756.25794054 - 79453153.75794025. Let a = y + 60905400.4. Let o = 2.9 - a. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 19*t + 113. Suppose 3*b = -t*h + 12*h + 6, 3*h = -5*b. Let z(o) = o**3 - 4*o - 3. Calculate z(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 22. Let n be t(-10). Suppose n = 2*v + 3*k, 0 = -5*v - 4*k - 5 + 68. Let r = 26 - v. Calculate the remainder when 28 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - 0)\/1*660\/112860.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/4 + (-880)\/(-64) and 104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 6*l - 3*l - 5*d, 5*l = -5*d + 370. Calculate the greatest common factor of l and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 261840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/9 (c) -354\/41 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**44\/(g\/g**(19\/2)))**(-1\/23))**(-38) assuming g is positive.\nAnswer: g**(1995\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2 + 3*o + 3. Let f be (-7)\/(-3) + 2\/3. Let y(q) = -9*q**2 - 5*q - 5. Let u(d) = f*y(d) + 5*v(d). Let l(p) = -6*p. Calculate u(l(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -841 (base 13) to base 2\nAnswer: -10101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -74 (c) 3305\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * -0.23\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trtrttorcttrc. Give prob of sequence ttc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 24 = -4*w, -29*w + 3*l = 27*w - 51*w - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 493704 and 2523376?\nAnswer: 22710384","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 16*g - 117. Let a be p(7). Is (-2 - 8122 - a)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09756678491 to 5 dps.\nAnswer: 0.09757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46132?\nAnswer: 2, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 50*n - 41. Let b be t(-37). Calculate the greatest common factor of b and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, -5, -4 in decreasing order.\nAnswer: -3, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c + 2. Let t be w(-1). Let d = t + 27. What is the remainder when 216 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 57 - 75 + 222 - 119.\nAnswer: -2*i**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2940)\/(-294)*4\/(-150))\/(126\/(-15)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187\/(-88)*74\/(-37)*-12.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, u: 1, r: 1, c: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j + 80. Suppose 5*l - j = 5*p, -5*p = -2*l + 6*l - 19. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let h(f) = 5*f - 4*f - 5 - u. Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -3\/8, 82.56, -0.3, -3 in ascending order.\nAnswer: -3, -3\/8, -0.3, 2\/13, 82.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102370 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 18350125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -16*f**2 + 2769*f + 11. Let x(h) = -6*h**2 + 924*h + 4. Give 4*n(l) - 11*x(l).\nAnswer: 2*l**2 + 912*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 302214.735 + -4867.\nAnswer: 297347.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {x: 1, o: 3, f: 2, i: 4, n: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 751. Let p be v(5). Calculate the greatest common factor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 874 or -2\/5?\nAnswer: 874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (-25 - -42 - (10 - 4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11289572 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10317000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -394, -2, 0 in descending order.\nAnswer: 1, 0, -2, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 1, b: 3, r: 3, c: 5, a: 6}. What is prob of picking 1 p and 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 30 - 19 = -5*v, -2*i + 26 = 2*v for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 12. Find the first derivative of r*x - 26*x + 4 + 9*x wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2188 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-212)\/(-1110) - (-2 - 55\/(-25)). Let t = k - -653\/2664. What is the common denominator of 18\/11 and t?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n - 12*n**4 + 5*n - 12*n - 13*n wrt n?\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 3)\/((-13)\/(-110773)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4894341.72 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s. Let y(f) = 385*f**2 - 322*f**2 + 349*f**2 - 1638*f**2. What is y(u(r))?\nAnswer: -4904*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 2*l - 7*l - l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3106.587l?\nAnswer: 3106587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-2 - 20))*-1. Calculate the greatest common divisor of r and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 2. Let z be d(-3). Let w be (54\/495)\/(6\/z). Which is the third biggest value? (a) 1\/3 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 2*k - 3*k - k**2. Let t(s) be the first derivative of -s**2\/2 + 1. What is t(w(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1.09.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0 - 6. Suppose -x + 16 + g = 0. Suppose 0 = -4*p + x + 6. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i - 179. Let s be j(-4). Which is the third smallest value? (a) -1 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v - 9*v - 3*v - 5*v - 7 + 0*v. Give g(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5768, -5765, -5762, -5759, -5756?\nAnswer: -5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 1294*m**2 - 1294*m**2 + (-m - m + 4*m)*(-5*m**2 + 2*m**2 + m**2) + (-2 + 2 + 2*m)*(m**2 - 1 + 1) - m**3 + 0*m + 0*m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:33 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*u + 150, 2*c - 61 = -u - 0*u. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + c - 20. Let w = c - -28. Suppose -3*k - 2*m + 3 = -4*m, -5*k = 3*m - w. What is the smallest common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s + 316. Determine d(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 - -213.3. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 14*d**2 - 15*d - 6. Let a be z(-15). Let s(c) = 2*c + 10. Let y be s(a). Let n(w) = w**2 + 3*w + 3. Calculate n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10029 divided by -11757?\nAnswer: 3343\/3919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 96. Calculate the greatest common factor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.34 * 0.17.\nAnswer: 0.7378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.5. Let c = h - 0. Let o be 9\/(-30)*2\/1. Put 1, o, c in descending order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*6\/(-4). Let q be v - ((-1162)\/2 - -1). Find the common denominator of ((-12)\/126)\/((-12)\/q) and -85\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, -3013 in descending order.\nAnswer: 0, -21, -3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - -20) - (-984 + 1002).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**5)\/y*y)\/y*y)\/(y*y*y*y**(-2\/11))*y\/y**(1\/3)*y*y*y\/(y\/((y*y**(-8)*y)\/y)))\/(y**7*y**(-2\/21)*y\/(y**8\/y)*y\/(y*y*y**(-5)*y)) assuming y is positive.\nAnswer: y**(-1168\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -47 + 414 + 1*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -22*j - 27. Let k = 64 + -69. Is h(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1414)\/(-126)*10 - (-2)\/(-9). What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 61105321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**3. Let n(v) = -8*v**3 + v**2. Let o(m) = -m + 7. Let l be o(0). Let s(y) = l*r(y) + 3*n(y). Find the third derivative of s(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31398967 minus 3.715?\nAnswer: 31398963.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 0*o + 0*o)*(10*o + 13*o - 3*o).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 243*f**4\/4 - 4023*f**3\/4 - 3099*f**2\/2 - 537*f - 54 = 0.\nAnswer: -1, -2\/9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 203 = -121. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**2))\/(a*a\/a**3)*(a\/(a**(2\/5)\/a))**(4\/3)*(a**(-7)*a**(-1))\/(a**(-1)\/a)**(1\/3) assuming a is positive.\nAnswer: a**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062101 times 2?\nAnswer: 12124202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2. Let o(a) = 181*a - 88*a - 86*a. Calculate o(n(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 238\/252 - (0 + 1)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4831, 4783, 4673, 4471, 4147, 3671?\n\"Answer: -5*i**3 - i**2 - 10*i + 4847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281*p + c - 14 = -2278*p, -4*c = -20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) + (-139)\/(-215). What is the second biggest value in j, -4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + 10 = 0. Let q(z) = 4*z**3 - 3*z**2 + z - 2. Let x be (-4)\/(-10)*(-95)\/(-19). Calculate the lowest common multiple of q(x) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 5*d**2 + 15*d + 77. Let n be g(-5). Let b(x) = -2*x**3 + 4*x**2. Let r(j) = -4*j**3 + 7*j**2. Give n*r(u) - 5*b(u).\nAnswer: 2*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {y: 4, u: 7, s: 6, t: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j + 20. Let u(r) = 6*r**2 - 7. Let n(k) = 4*k**2 - 5. Let d(l) = j*n(l) + 5*u(l). Let w(c) = 16*c**2. Determine w(d(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -416?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1228319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -340*b + 1224 + 136 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 41, -7?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-5))\/(3\/(-15)). Suppose m*j = j + 36. Calculate the highest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 4422?\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9*16\/64\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.071 + -49.929. Let y be (3 - 1)*3\/(-12)*2. Is y less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 424, 531, 570, 541, 444, 279?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i = -72*i - 20. Let h(j) be the third derivative of 0 + 0*j + 4*j**2 - 1\/3*j**3 + 0*j**6 + 0*j**i - 1\/105*j**7 + 0*j**5. Differentiate h(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)\/d*d)\/d**(-4\/7)*d**6\/((d\/(d*d\/(((d**(-2\/7)\/d)\/d)\/d*d)))\/d) assuming d is positive.\nAnswer: d**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 34. What is the nearest to -1\/2 in -0.1, x, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2 in ascending order.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*t - 2453 = 250*t + 795 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 568 + 596 + 5*j - 1226 - 2*j - 3*j + 4*j + 1 - 1 - 2*j - 2*j - j + 4*j + (-2*j - 2*j + 6*j)*(-1 + 0 - 1) - j - j + j + 2 - 2 - 2*j + 0*j + 3*j - j.\nAnswer: -2*j - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -432502021 (base 6) to base 3\nAnswer: -112110201221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 54 = 3*c. Suppose 2*o = o + c. Let l(s) = s - 17. Let w be l(o). Which is greater: w or 1\/96?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in -0.5, 5\/32, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5512 = 94*z - 99*z + 17692. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17666 minus -0.035720191?\nAnswer: 17666.035720191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*-1*-3. Let k(x) = -2*x**b + 4*x**2 - 4 - x**2 + 2*x + 1. Calculate the remainder when 60 is divided by k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2586 - 1228. Suppose -4*k - 5*p + 679 = -3*k, 4*p + a = 2*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(-5 - 1 + 1)*(2*v**4 - 2*v**4 + 3*v**4) as o + t*v**2 + s*v**4 + w*v + x*v**3 and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 2.16\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22*h**2 + 10*h + 17. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-11 + 25 - -1)) + 18 + -5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-6502.\nAnswer: -195.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 7*l + 159. Give j(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342997696 to the nearest integer?\nAnswer: 18520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -527 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 10*n + 27. Let p be c(-6). What is the fourth smallest value in -5, p, 2\/9, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a40 (base 14) to base 3.\nAnswer: -2012020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let l be h(-3). Let t(k) = -k**2 - 5*k + 6. Let r be t(l). Sort -0.2, 1\/2, r in increasing order.\nAnswer: -0.2, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2580505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 447389881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -36. Let q = f + 15. Suppose -q*o + 2*x = -0*x - 10500000, -3*o + 3*x = -6300000. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-56)*126*34\/459.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 52.887. Let m = 10.187 + v. Let p = m - 10. What is the second smallest value in 4, 4\/3, p?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/300*3*-2. What is the fourth smallest value in g, 0, -4, -1\/22, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1. Let k be 4\/14*(-14 + 147\/7). Let v(p) be the first derivative of 5 + 2\/3*p**3 - 4*p + 0*p**k. What is -4*c(w) - v(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x**0)**38 assuming x is positive.\nAnswer: x**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4388*z**3 - 52*z**2 - 2352415*z wrt z?\nAnswer: 26328*z - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(9\/4)*q)\/q**(4\/7))\/((q*q**(-1))\/q**(-3\/8)))\/((((q\/((q*q**4)\/q))\/q)\/q)\/q*q\/(q\/(q**5\/q))*q**7\/(q**(-9)\/q)) assuming q is positive.\nAnswer: q**(-711\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (98 - -2)*((-15)\/(-6) - 1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 + (11013666\/(-1027950) - (-30 + 19)). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 6*u + 2*r, 0 = 3*u + 3*r. Suppose g + 2 = -n, u*n + 3 = 5*g - 8*g. Solve n*p + 3*a = -3, 0*p - 2*a = -3*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/102 - (4745\/130)\/(-73)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/225910 and -22\/261.\nAnswer: 2033190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16444?\nAnswer: 2, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/264 and -157\/5460?\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -89. Let j = -11 + 15. Suppose j*z - x = 6. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4*v + v - v. Suppose 21 = 3*j - 3*s, 6*s - 5*s = -2*j + 2. Let h = j + -2. Determine g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1998*z - 1994*z - 401 = -11*v, 7*z + v - 63 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.3134 millilitres in litres?\nAnswer: 0.1703134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:20 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -4*g - 9*u, 95 = -484*g + 479*g + 5*u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -8, -6, 1\/24, 5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38\/663 + 28799\/2652. Find the common denominator of d and 139\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 3}. What is prob of picking 1 d and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -0.63, -1\/125 in descending order.\nAnswer: 0.04, -1\/125, -0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/15 and -8\/13815?\nAnswer: 13815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 11*y. Suppose -2*a + 134 = -y*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 117. Solve -a*f + 6*f + 12 = 2*o, 5*f = 3*o - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -6, 105, 3, 7, -1 in decreasing order.\nAnswer: 105, 9, 7, 5, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23376066 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -2\/9, -7\/18402, 2\/9, 319?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - 10. Let n be 6\/36 - (-39)\/d. Let h = 0 - 3. Is n < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3084231 - ((-128)\/(-40) + (-1)\/5). Let c = 5584228 - r. What is c rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 448265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 p, and 1 a when four letters picked without replacement from {a: 7, p: 2, f: 9, n: 1}.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 6148677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71550.84 days in seconds?\nAnswer: 6181992576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -7*o**3\/3 + 2*o. Let y(j) = -10*j + 40. Let h(x) = -4*x + 15. Let u(b) = -8*h(b) + 3*y(b). Give u(f(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -619*z + 2322*z**3 - 1991*z**3 - z**2 + 10*z - 382*z + 2856*z**3 wrt z?\nAnswer: 19122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 15. Let o be k(9). Solve 0 = o*h - 9*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/726456 and 125\/1452912?\nAnswer: 1452912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148487108?\nAnswer: 2, 7, 11, 482101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, z: 1, c: 6, e: 4}. Give prob of picking 2 z, 1 e, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 2. Let q be d(2). Let k = q + 6. Let m be (-50)\/((-80002)\/(-40000) - k). What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9232 divided by 8.\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4590681 divided by -1530227.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (115 + -119 + -128).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011101001 - 1001000011?\nAnswer: -10000100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -4414.\nAnswer: 2\/2207","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342290 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**3 + 0*n**6 + 0*n + 0*n**5 - 5*n**2 + 1\/24*n**4 - 1\/35*n**7 + 0. Find the second derivative of f(x) wrt x.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**2 - 79*x + 174. What is m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2136, 4404, 6672?\n\"Answer: 2268*w - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 545 + (4\/(-8) - (-35)\/14). Let s = x + -591. Which is smaller: -46 or s?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278 and 3?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.1*18968.\nAnswer: 115704.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 7*x**2 - 4*x + 3. Let c be v(4). Suppose 1613 = o + c*o + 5*r, -o + 410 = -r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222133133 - 11?\nAnswer: 2222133122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -39 + -17 + 29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 169 (b) 2 (c) -4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32992388*m*r**3*z - 27*r**3*z + 40*r**3 - 25*r**2*z - 5*r**2 + 4*r*z with respect to m.\nAnswer: 32992388*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60112 + 3539*d**2 + 60526 + 2*d - 121917 wrt d?\nAnswer: 7078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154.978776 - -154.05877743. Let k = -0.92 - g. What is k rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 123 = b, -3*b - 2*b - 10 = 0. Let s be (-33)\/36 - 7\/(140\/q). What is the nearest to 2 in s, 3, -0.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 18 + -5 + -27 - (-3 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*f*z**2 - 1187*f*z + z**4 - z**3 wrt z?\nAnswer: -270*f + 12*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5981\/14940 + -1\/2988. Let m be (-21)\/(-15) + (-1)\/5. Let f = 1 - m. Put w, 5, f in decreasing order.\nAnswer: 5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*u + u + 8, u + 3*f = -12. Suppose 14*s - 5*s - 27 = u. Let z be 2\/(s - 1)*16. Calculate the greatest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -34. Let p be 118\/2 - (-2)\/2. Suppose -2*d - 2*o + 30 = 2*o, 0 = q*d - 2*o - p. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245176261*d**6 + 2*d**2 + 4759768*d - 4.\nAnswer: 29421151320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349075593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 7125100.\nAnswer: 1\/3562550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 2335 - 2335.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4, -0.018, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3*q + 5)*(q**2 - q**2 - 2*q**3) - 401*q + 8*q**3 + 401*q + 16*q**4 to the form n*q**4 + p*q + m + b*q**2 + d*q**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2)**2 - (sqrt(11)*3 + -1)**2.\nAnswer: 6*sqrt(11) + 3464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -124 - -83. Let b = d + 63. Calculate the least common multiple of 18 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5319.7 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 198471470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 4*n**2 + 8*n + 7. What is q(6)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2720 - 79 = 311*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/889 and 51\/358267?\nAnswer: 358267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, -27, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - (-16)\/6. Suppose 0 = -28*u + 26*u - 6. Calculate the remainder when 54 is divided by (11 + v - u) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, n: 1, x: 5, b: 2}. Give prob of sequence dxx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/15 - (-3)\/5. Let o(h) = h**2 + 7*h + 9. What is the least common multiple of o(c) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s**2 - 2 - 12*s**2 - 20*s**2 + 27*s**2 to the form o*s + q + c*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 12*s - 12*s. Let g(j) = -10*j**2 + 8*j + 8. Let k(b) = 7*b**2 - 5*b - 5. Let x(n) = 5*g(n) + 8*k(n). What is m(x(c))?\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*((sqrt(456)\/(sqrt(192)*1 - sqrt(12)))\/(sqrt(2)*2*1 - (sqrt(288) + sqrt(18) - sqrt(18) - sqrt(18))\/sqrt(9)))**2 + -1.\nAnswer: 187\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 142971 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.0117.\nAnswer: -4.0117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/15, 449, 2, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from dlmxxllldllxx.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332310 is divided by 2465.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 4*t. Let h be y(-4). Suppose s + 20 = -4*s, h = 4*l - s - 36. What is the remainder when 30 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2811490 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (-76 - 196\/56)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*r - 31986 - 13023 = -513*r - 1342*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 602.\nAnswer: -17\/602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, k: 5, n: 4, r: 1, j: 1}. What is prob of picking 1 j and 1 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 6. Suppose 0 + g = c, -2*l = -3*c + 3. Suppose l = -3*t + 5*t - 140. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2162.16 + 2162. Which is the second biggest value? (a) -3 (b) 1.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1995526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 590 (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71414 is divided by 632.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let n(h) = -h - 5. Let v be n(0). Let w(r) = r**2 + 4*r - 1. Let o be w(v). Let k(m) = -o*m**2 - 3*m**2 + 5*m**2. Calculate l(k(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.022 (c) 0.2444 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63732 and 72?\nAnswer: 382392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 39 = -5*z + 5*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**5\/45 - 19*t**4\/9 - 794*t**3\/27 - 76*t**2 - 72*t + 177. Solve k(p) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204040142 + -6529962825\/32. Let z = -1364 + -19830. Let w = z - s. Calculate the common denominator of -9\/44 and w.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -34 - (-45 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 4*s)*((3*s + s - 2*s)*(-s + s - 2*s**3) + 3*s**4 + 0*s**4 + 2*s**4) + (0*s**3 + 3*s**3 - 2*s**3)*(-3*s**2 + 7*s**2 - 3*s**2).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 + 4001*c**3 + 1038267*c**2 + 207437896*c\/3 + 34313916 = 0. What is c?\nAnswer: -5733, -134, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7895, 910\/11, -0.1 in descending order.\nAnswer: 7895, 910\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 5*c + 3*c)*(6 + 4*c - 6).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 8*s - 4. Let r be 27\/9 + (-2)\/2. Suppose 3*l - r*w + 0*w - 8 = 0, -w - 19 = -4*l. Calculate the remainder when 79 is divided by o(l).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 2*z - 1. Let i(q) = -6*q - 1. Let x be i(-1). Suppose -x*h + 9 = -1. Let k be s(h). Which is the closest to k? (a) -4 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.000115 times -0.4?\nAnswer: -0.400046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311443 (base 7) to base 9.\nAnswer: 81214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w - 96*w = -90643. List the prime factors of w.\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 318 + 312 - 2*m - 3*m - 644 + 2*m to the form r*m + h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1277956 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 103, 302, 683, 1306, 2231, 3518?\nAnswer: 5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14086979 is divided by 2565.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*a + 613*a - 250*a**2 - 242*a**2 + 729*a**2 - 242*a**2 - 58.\nAnswer: -5*a**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3255*d + 736. List the prime factors of i(21).\nAnswer: 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*p - 9 = 0, -3*c - 5 - 4 = -3*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298958 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 41*v**2 - 299*v + 9. What is t(7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29327675 is divided by 2104?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.089 times -194\nAnswer: 211.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67249*p**2 + 1126018*p wrt p.\nAnswer: -134498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118695 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 116911289?\nAnswer: -116911289.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7683 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-18))\/((-1)\/21*-1))\/((-15248)\/8577)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1994 - -2007. Calculate the highest common divisor of 1313 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 698.8435 - 699. What is y rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 395 divided by 132\nAnswer: 395\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 125. Let k be h(-10). Suppose 2*u = -4*i + 53 + 3, 0 = -k*i - 3*u + 71. Calculate the greatest common divisor of 221 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = -5*r + 2*d, -r + d + 0 - 59 = 0. Let q(g) = -13*g - 4. Let t be q(6). Let y = r - t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((7 - -2)\/3)\/1. Suppose -j*i - 4 = -2*i, -19 = -w + 3*i. Suppose 15 = 2*m + 1. Calculate the lowest common multiple of w and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 - (-3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 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: 11963743*-18\nAnswer: -215347374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 - 3233 + 1617 = -35*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-546)\/2*(-3)\/(-9)*-1. Suppose 5*v - 3*h - 315 = 0, -5*h + c = -v + 2*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/(-245))\/((-1863)\/(-90))*(-3)\/(-4)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 794\/3*p**2 - 616*p + 968\/3 + 2\/3*p**4 + 28*p**3.\nAnswer: 2*(p - 1)**2*(p + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 + -260. Let p = d - -96.99999858. What is p rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258869078201.999999989 - 258869078082. Let c = v - 120. What is c rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 407264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5400 + 5397. Sort 4, o, -5, 6.\nAnswer: -5, o, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3245*b + 3245*b - 57*b**3 - 6492*b + 2*b**4 - 10 as z*b + a + t*b**3 + c*b**2 + k*b**4 and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213.1 + -245.1. Which is the closest to u? (a) 0.2 (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 61, -20 in decreasing order.\nAnswer: 61, 2, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 1351\nAnswer: -3\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.7391669 - 21.43916808. Let c = 0.084 + 9.616. Let r = g + c. What is r rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 14*n - 40. Determine t(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let w(b) be the first derivative of -b**2\/2 + 5. Determine w(o(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Suppose s - 4*y = 2*s - 50, 3*s + y - 106 = h. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = -2*h - 2*x, -2*h - 3 = 5*x. Let j be 2 + (-3)\/3 - h\/(-12). Which is the nearest to 1\/3? (a) -2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35729\/56 - -638. Which is greater: 2\/3 or g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 6. Suppose 2*c = 3*c - 3. Let n(p) = 9 + 6*p**2 + 3 + 5 - c*p**2. Give -17*a(u) - 6*n(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 divided by -139?\nAnswer: 701\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -r + 4, 0 = 2*r. Suppose 0 = y + 3*d - 16, y - 2 = 5*d - 26. Let i = y + w. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 33. Calculate the remainder when 58 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 29*i**2 + 0 - 13*i**2 + 0.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16577 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90908204*t**3 - 123204115*t**2 wrt t?\nAnswer: 545449224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(3*b**2 - 2*b**2 - 3*b**2 + (-18 + 8*b + 18)*(-3*b - 3*b + 5*b)).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32493 minus 4?\nAnswer: -32497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493621.8 days to weeks.\nAnswer: 70517.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-218)\/312)\/((-36)\/72) and -59\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6.4. Let v = -0.4 + j. Let t = 1.2 + v. Which is the smallest value? (a) -3 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/5)*k**(-1))**(-2\/19) assuming k is positive.\nAnswer: k**(26\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*a**2 + 165?\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(-8)\/408 + (-3 - (-1086)\/414)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4648*z = 4628*z + 240 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15515234 - 4?\nAnswer: 15515230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -417*w + 11. Let k(h) = 69*h. What is k(s(a))?\nAnswer: -28773*a + 759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27021555*a**3 - 5*a + 4*a - 4*a + 5*a + 27021572*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 18*k - 5. Give l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -v - 14, -g = -3*g - 2*v - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 11. Let g be d(-3). Factor 20 - 2*y**3 - 435*y + 2*y**2 + 14*y**g + 473*y.\nAnswer: -2*(y - 10)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, -1820\/9.\nAnswer: -1820\/9, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (-6)\/30 + 142\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 13*b + 24*b + 3*b**2 as z*b**2 + m + l*b and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 7*z**2 + z - 10. Let c be u(7). Let o be c\/((-26)\/6 - -4). Find the second derivative of -2*t + 0*t**4 - 2*t - o*t**4 - 6*t wrt t.\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/29)*z\/(z**(-48)\/z) assuming z is positive.\nAnswer: z**(1477\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14480 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70882488 by 1162008.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21*1)\/3)\/(-1*(-525)\/(-3975))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 15, 18*l = 15*l + 2*s + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/16 + -1 - (15 + -19). Let l = -19 + 14. What is the closest to -1\/5 in m, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + 14\/(-20). Let f = 0.23 + 0.67. Let p = 0.1 + f. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.3. Let b = i - 0.8. Let m be 3*-1*4\/(-3). What is the nearest to 0.2 in 1, b, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y. Let v(g) = 85*g**2 - 4. Give p(v(l)).\nAnswer: 595*l**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:24 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563573557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45 - 4) + 6\/2. Suppose y + 9 = 3*i - 2*y, 5*y = -2*i + 13. What is the greatest common divisor of i and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 4*x - 14*x + x + 4*x + 0*x + (0 + 0 - x)*(4 - 4 - 5) in the form a*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = -r. Let f(d) = -5*d + 2. Let u be f(r). Suppose -u = -6*q + 3*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 826075 and 382.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2898891.27 take away 626?\nAnswer: -2899517.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3971, -7941, -11907, -15869, -19827?\n\"Answer: 2*f**2 - 3976*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 18365336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 5, 1, 74.\nAnswer: -3, 1, 5, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 21197730.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 645. Let f = l + -243. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 5, -1062 in descending order.\nAnswer: 39, 5, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5427483 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 21 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 10*p**3\/3 - p**2 + p + 2. List the prime factors of w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 1. Let i(c) = -3*c - 14. What is -i(z) + 3*n(z)?\nAnswer: -3*z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c + 60e1?\nAnswer: 610d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, r: 2, v: 5, g: 2, y: 1}. What is prob of sequence rr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*u = -51, -5*u = -4*q - 616 + 687 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3658 by -39.\nAnswer: 3658\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 29620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let t = z + 1. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/22 + (-10)\/(-66)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0502*0.37\nAnswer: 0.018574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32216 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -14. Calculate the greatest common factor of 18 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1358.74 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.022 and -1245660641726.\nAnswer: -1245660641725.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48\/12*-4 - -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-32) + (-294)\/(-48). Suppose -9*z + c*z + 15 = 0. Put 1, -0.1, z in ascending order.\nAnswer: -0.1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 1. Let c be (-1)\/(3\/a + 0). Find the first derivative of 4*w - w - 6*w + c*w + 4 wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3200)*-2*6*2)**2 + -4)*5.\nAnswer: 9215995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 1212*t**3 + 44932*t**2 - 374880*t - 939200.\nAnswer: (t - 1174)*(t - 20)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3655 and 9341535?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 22*h**2 - 43*h - 14. Let m be a(-19). Let g = 401 + m. Let t = g + -35. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.3 (c) -39923\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from tttwvtvvvwtvvv?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 11*c**7\/14 - 5*c**4\/3 + 10*c. Find the third derivative of a(k) wrt k.\nAnswer: 1980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19481 and 3933391.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1725 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668223919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + -0.3. Let z = 203918 + -203923. Sort n, z, 2\/7, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/7, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/13741 and -24\/1001.\nAnswer: 151151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 6 - 3 - 7*h - 2*h + 3*h + 0*h + (-1 + 1 - h)*(1 - 1 - 1) + 0*h - h - h + 4*h + 0*h - 2*h - 5 + 5 + 3*h as i*h + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 8853*f**3 - 53120*f**2\/3 + 4*f\/3 = 0?\nAnswer: 0, 2\/26559, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117*r*z**2 - 778099006*r - 1044292*z**2 + 2*z wrt z?\nAnswer: -234*r*z - 2088584*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. Suppose 2*m - 10 = -5*p, t = p + 2*m + 2*m - 2. Suppose -5*j + 20 = -3*v, -28 = -j - 2*j + 5*v. Put -1, p, j in decreasing order.\nAnswer: p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39, 120, 263, 498, 855?\n\"Answer: 5*v**3 + v**2 + 43*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 3*u**3 - 2*u**3 + (2 - 1 - 3)*(0*u**3 + 0*u**3 + 2*u**3) + 4*u**3 - 2 + 2 + 20*u - 20*u - 6*u**3 + (-2 + 2 - 2*u)*(2 + 5*u**2 - 2).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*2 + 4 - 4*(sqrt(1584) + 1)**2) + ((sqrt(1584) - (2*sqrt(1584) + -1)) + 2)**2)*-3 + 1.\nAnswer: 432*sqrt(11) + 14230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.7677129 hours to weeks.\nAnswer: 0.0224268625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*d*h**3*z + 647*d*h*z**3 - 142355*h**3*z**3 + 2*h**2*z**3 + h*z**3 wrt d.\nAnswer: -26*h**3*z + 647*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u = 88*u + 93*u + 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3012635 (base 11) to base 3\nAnswer: 101000221011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p. Let d(z) = -4*z. Let t(i) = -i. Let w(c) = -d(c) + 3*t(c). What is n(w(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*(-96)\/(-16). Let g be 1\/(a\/12*-1). Solve -g*v - v + 25 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73+0.454275\nAnswer: -72.545725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.08 + -0.08. Let w = 0 + -0.2. What is the nearest to j in w, -3, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c\/(c*c**(-1\/5))))\/c)**(-29) assuming c is positive.\nAnswer: c**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1113 + 1113.4. Which is the smallest value? (a) -2\/13 (b) -25 (c) f (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 778 - 783. Which is the third smallest value? (a) 1 (b) -11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2. Let x = 19 - 17. Let u(q) = -377*q + 377*q - q**2 - q**x. Give u(b(s)).\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 9*x**2 - 2*x**2 - 10*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-184)\/(-1725)*15*2\/8. Solve -r*s**2 + 12\/5*s - 18\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9405000 rounded to the nearest 100000?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 28. Suppose -i*o - o + 120 = 0. Let n(a) = -3*a - 7*a - o + 17*a. Let h(f) = -2*f + 4. What is 22*h(y) + 6*n(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, 2\/17, 4, -1\/5, 7.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 5*s + 4*h, 0 = -4*s - 2*h + 8. Suppose s = 2*p + 8, -5*w = -p - 0 - 184. Is w >= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 7*q**2 + 10*q + 2. Let l(i) = i**3. Let r(o) = -4*l(o) - t(o). Let v be r(-6). Let y = 181 + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 0*i**2 - 14*i**2 - 9)*(7 + 2 - 1).\nAnswer: -112*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4798*u + 10250*u + 3314*u - 3676*u.\nAnswer: 14686*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111010111101010 - 100?\nAnswer: 100111010111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 35*y - 2026. Calculate n(-38).\nAnswer: -3356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t - 38*t - 5*j + 3 = 0, -2*t - j = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -817 - -7349\/9. Put 0.1, s, 3, -7 in decreasing order.\nAnswer: 3, 0.1, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 2*a - 6 - 10*a**2 - 15*a**2 + 34*a**2. Let d be g(-9). Suppose -8 = -4*j + d. Solve -j*l + 0*r = -5*r + 35, r = -2*l - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let o = -0.02 + -0.38. Suppose 25 = 19*k - 14*k. Put f, k, o in decreasing order.\nAnswer: k, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 62265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:17 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 184*c**3 - 12*c**2 + 18*c - 7. Is s(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7712*b + 2*b**2 - 7714*b - 3*b**2 + 15426*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -0.07, -1.31, 0.04?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355 and 33654.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8. Let j = -0.06 - d. Let y be ((-8)\/(-9))\/(12\/(-18)). What is the closest to j in y, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2050957 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 31 = 121. Suppose 0*g - p = -5*g. Let w be (1 + g)*(-186)\/15. What is w rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/4) + 5. Solve 2*t + t = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 8*k - 7. Let b be y(-9). What is the common denominator of 51\/(-7)*1\/b and -97\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -0.2, -0.4, -2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/10272 + -14773\/71904. What is the common denominator of s and -61\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 4. Suppose -2*z - 9 = -3. Let d be b(z). Let w be 1740\/110 + 6\/33. Is w less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 - 7*p**2 - 5*p - 2. Let i = -34 - -32. Let d(q) = -2*q**3 - 3*q**2 - 2*q - 1. Let k = 13 + 0. Suppose k + 17 = 6*z. What is i*w(l) + z*d(l)?\nAnswer: -2*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 509*c - 6610. Give l(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2891*a**3*d**3 - 99*a**2*d + 6*a*d**2 + d**3 wrt a?\nAnswer: -17346*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145728 rounded to six dps?\nAnswer: -0.001457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/21 - 4\/14. Suppose 0 = 2*l - 3 - 1. Let o(t) = t - 5. Let n be o(7). Solve z*x = -l*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 118. Let q = z + -32. Suppose q = l - 23. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 + 9*l + 17. Let t be x(-7). Let p = t - -48. Suppose 5*a = -10, -1882 - 286 = -4*b + p*a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*a + 288 + 11754, 12057 = 3*f - 3*a. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 22*z + 2*b + 31072, 4*z = -b + 62149. What are the prime factors of z?\nAnswer: 3, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*0.32\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3174?\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4400, -4397, -4392, -4385, -4376, -4365, -4352?\n\"Answer: w**2 - 4401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12714777030401.60259926 - 12716655757114.6026. Let n = 1878726759 + b. Let z = n + -46. What is z rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*i**2 + 0*i + 3\/4 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 419688176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2. Let q(t) = t + 1. What is 2*q(l) + y(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 7*l - 112. Let y be 2\/(-8) + 91\/l. Is y less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 1442205?\nAnswer: 1442205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2\/13*v**2 + 0*v + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5 - 33. Suppose 0 = -m + c + t + 6, -4*c = -m + 16. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2167 - 8b?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 543*d**2 + 1879*d + 722. What is o(-268)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2.9448955.\nAnswer: -14.7244775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5619 + 5756. What is the third smallest value in s, 3\/2, 5, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3321*c - 86. Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570766845.\nAnswer: 3, 5, 827, 287849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -3, -22, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4376 = 2*d - 5778. Let h = d + -81177\/16. Let o = -6085 + 60903\/10. Calculate the common denominator of h and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 7\/5 (c) -0.3 (d) 0.3 (e) 366 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -727 - -451. Let s = w - -156. Find the common denominator of 51\/14 and 526\/s + (-7)\/35.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.056? (a) -4\/5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*k - 131 + 125*k + 131 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 5*y - 3. Let n(g) be the first derivative of -2*g**3\/3 - g**2\/2 + 2. Let q be n(1). Is j(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31 times 85.4?\nAnswer: -111.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, -1\/246 in ascending order.\nAnswer: -18, -1\/246, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/30)\/((-3)\/(-30)). Let x(c) = -3*c**2 - c + 2. Let h(d) = -4*d**2 - d + 2. Let a(w) = t*h(w) + 5*x(w). What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let p = -9 - -36. Let q(k) = 42*k - 13*k - p - 13*k - 18*k. Let a be q(-11). Determine n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + 0.01. What is the nearest to p in 0.2, 5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 37 = b, 5*b + 435528 = -2*q + 435578 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -2*r, 3*r - 5*j + 3 + 12 = 0. Let w be 1\/5*r\/6. Suppose -3*z - 3 + 0 = 0. Is z smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 5, g: 1, s: 1, z: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11581 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -34, -3, 485, 3\/2, 5.\nAnswer: -34, -3, -2\/13, 3\/2, 5, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*i - 4*x - 20, 4*x - 20 = -2*i. Let v = -4 + i. Which is the nearest to -0.1? (a) v (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 1. Let d(a) be the third derivative of a**4\/4 + a**3\/2 + 2*a**2 - 5. Suppose 18 + 2 = 5*t. Let v = 9 + -10. What is t*n(q) + v*d(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 278359.\nAnswer: 278358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, 10, 70, 168, 316?\n\"Answer: 2*r**3 + r**2 + 17*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 615784.7 millilitres in litres?\nAnswer: 615.7847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdmuz. What is prob of sequence mud?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n - 3*n + 16*n - 7*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 47*f. Let t(s) = -s**2 + 12*s - 1. Let d(j) = 8*j**2 - 288*j + 24. Let c(p) = d(p) + 24*t(p). Determine i(c(l)).\nAnswer: 256*l**4 + 752*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3 + 3*c - 6 + 10*c - 2. Calculate the remainder when o(2) is divided by -2 - (-1 - 1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 32*j**2 - 174*j + 116. What is f(20)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1465, -3071, -4669, -6259, -7841, -9415?\n\"Answer: 4*u**2 - 1618*u + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 12 = -q + 2*q, 4 = 2*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8\/3, -5, 3, -6684, -2\/7?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.11331 centimeters in micrometers?\nAnswer: 771133.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q + 6*q)*(-2*q + 5*q + 4*q) + (-36*q + 36*q - 6*q**2)*(-15 - 17 + 13) as p + m*q**2 + n*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -2 (c) 3933930 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 89?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 81*u**4 - 258*u**3 + 476*u**2 + 2328*u + 2016.\nAnswer: (u - 84)*(u - 3)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-8))\/(19\/76). Solve 0 = l*z + 2*z - w - 21, -4*w + 31 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.8418692 to 2 dps.\nAnswer: 40.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 0 (c) 12 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3696, 3694, 3682, 3654, 3604, 3526, 3414?\n\"Answer: -f**3 + f**2 + 2*f + 3694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 1006, 2836, -6.\nAnswer: -6, 1, 6, 1006, 2836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15)\/(-5)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-175) + (72\/150)\/6. Which is the nearest to v? (a) 3 (b) 0.12 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, 292, 3\/4?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d. Let u(g) = 24*g**2 - 6*g**2 + 11*g**2 + 27*g**2 + 23*g**2. What is i(u(w))?\nAnswer: -158*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdd. Give prob of picking 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 + x + 5. Let a(o) = o - 6. Let w(i) = -3*i + 19. Let j(n) = -7*a(n) - 2*w(n). Let m be j(15). Let r = m + 11. Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 8. Let d(t) = -5*t**2 - 2*t**2 + 0*t - 1 + 3*t + t**3 + t. Let k be d(6). Let c(a) = -a**2 - 14*a - 19. Let q be c(k). Determine z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2521528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*i**3 - i**3 + 620151*i**2 - 620151*i**2.\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 46139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/441358250 and 47\/9.\nAnswer: 3972224250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5\/15)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 1313 = -1361 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41881 divided by 7?\nAnswer: -5983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*m + 65. Suppose -67851592 = -m*v + 12888408. What is v rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -774389 (c) -10 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*m**2*p**2*s - 10670*m**2*p*s**2 - 7*m**2*p*s + 11387*m**2*s - m*p**2*s - m*p*s + 566*p**2*s**2 wrt s?\nAnswer: -21340*m**2*p + 1132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1)*(b\/(b**1*b))\/b)\/(b**(-1\/7)*b*b*b*b**3*b*b) assuming b is positive.\nAnswer: b**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 - 6*h**4 + 194*h**3\/9 + 38*h**2\/9 - 152*h\/9 + 40\/9 = 0.\nAnswer: -5, -1, 1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.243 * 299703\nAnswer: -72827.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 4*i - 5*g, g + 3*g + 72 = 2*i. Suppose 5*n + i = -s + 72, n - s = 10. What is the greatest common factor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 21.6\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 - 5 = 0. Let n be f + (-3)\/((-9)\/(-12)). Suppose z - 3*s = -6, -6*z = -z + n*s - 6. Solve z*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 81742742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12906014 is divided by 218?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 261486551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 1 + 4 + 2 + 1 - 2*k in the form x*k + y*k**2 + u and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -23123311103?\nAnswer: -23123311203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 1:17 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 4*l**2 + 2*l**2 + (3*l - l - l)*(4*l - l - 4*l) - 2*l**2 - 3*l**2 - 2*l**2 - 2*l**2 + 5*l**2 - 2*l**2 + (-2*l - 3*l + 3*l)*(l + 0*l + 0*l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) - (4*sqrt(68) + sqrt(68))*2)*1)\/(2*sqrt(64) + sqrt(4) + sqrt(3200)\/sqrt(8)).\nAnswer: -54*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1440)\/345 - -4)\/((-12)\/(-18) + -2).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343181330 minus 0.0851?\nAnswer: 1343181329.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) -180 (c) 2\/90529 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5\/3 - 5536*w**4\/3 + 1920964*w**3\/3 - 3797704*w**2\/3 - 7683920*w\/3 + 15279392\/3 = 0.\nAnswer: -2, 2, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/2 + a**4\/24 + 2*a**3\/3 + 2*a**2 + 21*a. What is the derivative of m(v) wrt v?\nAnswer: 60*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1590, 12703, 42898, 101715, 198694, 343375?\nAnswer: 545298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6*b**2 - 5 + 2*b**2 - 12*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 204125, 204410, 204695, 204980, 205265?\n\"Answer: 285*f + 203840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 131512.7938 to the nearest 1000.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4904 or 4896?\nAnswer: 4904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + ((-124935)\/(-21) - 2\/7) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16372008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4975 by 2.\nAnswer: -4975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 84 + 232, -7*y - 47*y = 5*b - b - 418 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 3:04 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v - 5. Let l(a) = a**2 + 12*a + 8. Let i be l(-11). What is the tens digit of g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -500?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -55, -158, -313, -526?\n\"Answer: -y**3 - 17*y**2 + y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 10. Suppose 0 = -s*w + 21 - 6. Factor 0 + 0*q - 1\/3*q**2 + 1\/3*q**4 - 1\/3*q**w + 1\/3*q**5.\nAnswer: q**2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 3*q - 47.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 4.6. Let t = z + 3.5. Let c = 2.3 + t. Put -3, c, -2\/23 in descending order.\nAnswer: c, -2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -789 and -19791.3.\nAnswer: 15615335.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - 13 - 16?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2317573 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1185.495 - 1186. What is y rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let n be 2*-1 + 200\/95. Let q = -159.8 + 160. Which is the closest to q? (a) n (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 - 9*a + 1. Let k(z) = -3*z**2 - 4*z. Let n(p) = 2*b(p) - 5*k(p). Let j(r) = r**2 - 5*r - 5. Give 2*j(d) + 5*n(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17263755 rounded to the nearest 100000?\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (-5 - (-10 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30055655 and 2590?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-7)\/(-2) + -2). Let p(d) = -3 + 1 + 0*d**2 - d + d**l + 6. What is p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 12. Suppose -c*q = -3*q. Suppose -2*j + 2*b - 2020002 = q, 4*j + b = 4*b - 4040003. Round j to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 4)\/(1 + 33\/(-30)). What is the closest to -1 in -2\/5, 2\/17, 5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.95 - 0.05. Let s = -13 + 3. Let z = s - -9.9. Which is the smallest value? (a) d (b) -6\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2628 by -4.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10316*g*y**3 - g*y**2 - 132*g + 4*y**3 + 19*y**2 - 9*y wrt y?\nAnswer: -61896*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/11)*((u\/(u\/(u\/((u*u\/(u**18*u))\/u)))*u)\/u*u)\/u assuming u is positive.\nAnswer: u**(199\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbrbrrkbkb. What is prob of sequence kr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 16. Let j be n(-14). What is the second derivative of 16*w**j - 4*w**2 + 21 + 22 - 71 + 4*w + 23 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -9. Let f be (-9)\/v*(-8)\/12 - -1. Suppose 0 = 2*i + c - 444, -7*c + 448 = f*i - 4*c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*3.84.\nAnswer: -4.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.646 + 2491.646. Let x = -2489.700092 + u. Let i = -0.7 - x. Round i to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/100 and -73\/90?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60623 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**4\/12 + 7*v**2\/2 + 6*v. Let m be -1*(-2 - -2*1). Give c(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*b**4 - 381*b**4 - 261*b**2 + 190*b**5 + 201*b**4 + 80*b**2 wrt b?\nAnswer: 11400*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*n + 34*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jwwwwwjwwj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 101*q + 1780. What is k(64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 389635404 and 744?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.008 + -24.992. Let s = o + 19. Let w = -10 - s. Which is the smallest value? (a) 1\/6 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/131729007 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -242420 (base 5) to base 6\nAnswer: -110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372867168 by -2.\nAnswer: -186433584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506*r = -501*r. Let n be (2 - 3) + 232\/234. Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034625543 rounded to 7 decimal places?\nAnswer: -0.0003463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*h + 33253 = -722*h - 62810 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -19.5 (c) -2\/3 (d) 5 (e) -0.16 (f) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 1. Let t be l(-7). Let m be ((-6)\/9)\/(2\/(-78)). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:07 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 12 - 24) + (-47 - 1) + 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 4, b: 12, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1865893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 5:39 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 268403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1255536 (base 7) to base 14.\nAnswer: 4431d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66ab (base 13) to base 12\nAnswer: -8369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 4}. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448 + 488. What is the smallest common multiple of l and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 111 - 113 - 3*y**2)*(3 - y - 3) + (2 - 2 - 4)*(-1323*y + 1323*y + 25*y**3).\nAnswer: -93*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0095 + -0.1975. Let a = -0.453 + m. What is a rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20.5 or 0?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.251582 - 0.252. What is b rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -503068.1 and -5?\nAnswer: 2515340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:43 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.13 * 0.2.\nAnswer: 8.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c - 4369*c**3 - 6697*c**3.\nAnswer: -11066*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118706 + -3.\nAnswer: 118703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -88f?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1972, -15736, -53054, -125692, -245416, -423992, -673186, -1004764?\nAnswer: -1430492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -75*s + 207. Calculate the remainder when 16 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 143333?\nAnswer: 143333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -26, -3, 3 in decreasing order.\nAnswer: 12, 3, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55.3 - 53.45. Let h = x - 1.82404. Round h to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 - 285*n**3 - 2385*n**2 - 1555*n + 4230 = 0. What is n?\nAnswer: -47, -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j. Let u(d) = 421*d + 1. Give u(c(f)).\nAnswer: 1684*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86067 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6936 and 6392.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5039 divided by -80?\nAnswer: -5039\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3614 is divided by 138.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 298\/10281 - 310\/(-414).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -108*t**3 + t**2 - 71*t + 70. Determine s(1).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17 + 12 - 2*m + 3. Let c be d(3). What is the remainder when 11 is divided by 74\/10 + c\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from cctgcccctc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/(-6)*(-59)\/(276474\/(-22436)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let u(o) = 7*o + 15. Let c(m) = -5*g(m) + u(m). Let p be c(-6). Suppose -5*t = -2*v + 2378, -p*t + 1183 = v - 7*t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 373500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 47. Let d be l(14). Let u be (-4)\/(-14) + d\/(-7). Solve -15 = 5*a + u*n, a + 12 = -3*a + 4*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gigz when four letters picked without replacement from {j: 3, i: 1, g: 5, z: 6}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 4*t + 13, -4*r - 6 = -t. Is (-7120)\/(-56) - r\/(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + 40740?\nAnswer: 40777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2)))\/z**(1\/5)*(z**0)**31 assuming z is positive.\nAnswer: z**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.7651 and -0.1.\nAnswer: -0.27651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 13) to base 14\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 319 - 418 = -7*l, -4*x = -2*l + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-35)\/2)\/7)\/((-47)\/94). Let b = 2\/793 - -15059\/3172. Solve -1\/4*r**j - 1 - b*r**3 - 4*r - 25\/4*r**2 - 7\/4*r**4 = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93648 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687673.\nAnswer: 13, 131, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -351 + 355. Suppose 2*g + l = 58, -o*l - 4 = 4. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k + 0*k**4 + 0 + 0*k**3 - 2*k**2 + 1\/300*k**5. Let d(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6657889 - 6.15\nAnswer: 6657882.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - -14. Let z = 44 + -21. Let a = 38 - z. What is the highest common divisor of p and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1503?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 9*u + 75 = 0. Let o be (10 - 14)*u\/4. Suppose -5*x + 70 = -o. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 + 2000345?\nAnswer: 2000230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2448) - 1*sqrt(2448)) - (sqrt(34)\/(sqrt(126)\/sqrt(7)))**2)*3*4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i - 162. Give a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -604 + 1313. Which is greater: l or 712?\nAnswer: 712","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2227 times -0.2\nAnswer: -445.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from {u: 1, v: 6, x: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1101110111011 (base 2) to base 15\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 - 8*p + 1. Let z be j(6). Suppose -49 - z = -2*i. Suppose 0*a + 169 = 13*a. What is the remainder when i is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z + 1602 = 29*z. Let c = z - -184. Solve 0*f - 2*f = -c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)**38*((v*v*v\/v**(-2\/3))\/v)\/(v*v**(6\/5)\/v) assuming v is positive.\nAnswer: v**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let u = y - -3. Let z = 10 - 7. Which is the closest to u? (a) -1 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**2 + 4*r + 6. Let h be y(-4). Let c = -110 + h. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*r**4 - 5757*r**2 - 74335*r?\nAnswer: -648*r**2 - 11514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6899 >= -6900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4555.5 + 4555. Let z = 6.4 + -6.19. What is the biggest value in -7, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 1. Let b be i(1). Let u = b - -2. Suppose -u*q - q = -40. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 32. Let v be z(15). What is the third derivative of 10*f**2 + 31*f**2 - 46*f**2 + v*f**6 wrt f?\nAnswer: 2040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1555*n - 63795 + 63795. Let y(t) = t. What is g(y(u))?\nAnswer: 1555*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2051\/30 - 205\/3. Let k(y) be the third derivative of -1\/3*y**3 + y**2 + 0*y + 1\/8*y**4 - t*y**5 + 1\/120*y**6 + 0. What is k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -342 + 342. Solve -5*s + 3 + 7 = m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 2:59 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -5*f**4\/24 + f**3\/2 + 2*f**2. Let i be (56\/(-35))\/(4\/(-10)). Suppose i*h - 2 - 10 = 0. What is s(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284375 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 266*u + 48 wrt u?\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - 76. Let r be -5*3*(-28)\/60. Let u(b) = r*b**2 - 15*b**2 + 1 + 7*b**2 - 1. Give u(s(o)).\nAnswer: -9*o**4 - 456*o**2 - 5776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 m when four letters picked without replacement from {m: 9, i: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 18*s = 1752. Suppose -2*n = -4*c - 298, -5*c - s = -0*n - 4*n. Let d = n + -545\/4. Calculate the common denominator of d and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1846 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6 + -a?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 44. What is the remainder when 52 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + sqrt(300)) - (sqrt(972)*2 + sqrt(27))\/sqrt(9))*4)**2.\nAnswer: -10080*sqrt(3) + 190912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 5*t**2 + 3. Let h(g) = 2*g**3 - 6*g**2 + 4. Let j(q) = q**2 + 6*q - 5. Let x be j(-6). Let w = 10 + x. Determine w*h(p) - 6*y(p).\nAnswer: -2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2678 is divided by 43.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(5\/40 + 0). Let f be 6\/r - (-291)\/12. Solve 21*m - 16 = f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3 + 57. Let v = 21 + o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21128 by 139.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2110 > -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a**5\/5 + 154*a**4\/5 - 758*a**3\/5 + 826*a**2\/5 + 766*a\/5 - 196 = 0 for a.\nAnswer: -1, 1, 2, 5, 49\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 6:31 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than or equal to 460\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746863?\nAnswer: 13, 73, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2381*p*s**4 + 20179*p*s**3 + p*s**2 + 190069*s**2 wrt s.\nAnswer: -57144*p*s + 121074*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390206716.\nAnswer: 2, 97, 3583007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 - 4*l - 5. Let o(z) = -9*z**2 - 9*z - 11. Determine 2*o(s) - 5*q(s).\nAnswer: 2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7690, 6803, 4392, -305, -8050, -19605?\n\"Answer: -127*x**3 + 2*x + 7815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {g: 2, r: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) -5\/2 (c) -1\/6 (d) -9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfww when four letters picked without replacement from xtwfxwxxvttxtvx.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18286246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 10. Let t be d(8). Let l(v) = 4*v - 2. Let h be l(t). Let o = h - 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Let l be 33\/(-11) + (-14)\/(-5). Let d = -2 - -2.4. Which is the closest to -2\/3? (a) l (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 4*d + 7. What is t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*-3*-6*4)\/(6*(sqrt(180)*2 + sqrt(180))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -35. Suppose 4*y + 41 = -j. Let d = y + 6. Sort 2, 1, d, -2.\nAnswer: d, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1463607?\nAnswer: 1463607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffpfffppf. What is prob of sequence fp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*s - 812157 = -19128 + 570201. What are the prime factors of s?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, and 2 x when four letters picked without replacement from oowxwooyqwxowqoyywox.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + a**2 - 5*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59.1 - 59. What is the closest to t in -31, 0.1, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + sqrt(11) + -3 + -2*sqrt(11)*-2)**2.\nAnswer: 10*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 3:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1872 and 0.4?\nAnswer: 748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 984*s**3 - 26*s**2 + 10*s wrt s?\nAnswer: 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258662 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228261 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.293 times -0.126\nAnswer: 0.036918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1631 and -5.\nAnswer: 1626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16240*u + 112. Let l(c) = -1804*c + 12. What is -3*f(o) + 28*l(o)?\nAnswer: -1792*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.078549, -7 in decreasing order.\nAnswer: 0.078549, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.41 - -0.84. Let u = 0.27 + v. Put u, 2, -4, -2 in decreasing order.\nAnswer: 2, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) - -1*sqrt(102)))\/(sqrt(18)\/sqrt(48)) - ((5*(sqrt(425) + -2*sqrt(425) + sqrt(425)))**2 - -6*(sqrt(425) + 0)).\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11929997813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 3. Let u be 5 - (-3 + -1 + 5). Let t(v) = -2*v - 2. Let j(s) = u*i(s) - 7*t(s). Differentiate j(r) with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 - (4 + 42\/2). Let v be (-30)\/7*d\/6. Suppose -g + 30 = 2*g. What is the greatest common divisor of g and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -13. Calculate the remainder when (-26 + -5)*1*-1 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.637088 kilograms in milligrams?\nAnswer: 8637088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 + 11*p + 4. Let m be ((-385)\/(-44) + -11)\/((-1)\/4). Let f(q) = -3*q**2 + 5*q + 2. Determine m*f(l) - 4*s(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5906209.\nAnswer: 421, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = 6. Let h(p) = 40 + 13*p**2 + 4*p**3 - 13*p + 3*p**3 - 23 - 6*p**3. Let w be h(-14). Solve -w*u = -q*u - 2*n - 9, -3*u + 7 = -n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.064 - -0.604. Let x = -0.06 - -0.1. Let y = d - x. Which is the second smallest value? (a) -1\/2 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*j - q, 4*q + 17 = 5*j - 24. Suppose 0*n - j*n = -130. Calculate the remainder when n is divided by 3 - 1 - 49\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40889 is divided by 264?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(12)*1*-1 + sqrt(60)\/sqrt(5)*-6)\/(-3*sqrt(96) + sqrt(96) - sqrt(48)\/(sqrt(8) + sqrt(40)\/sqrt(5))))**2.\nAnswer: -392\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(425) + sqrt(425) + 1*sqrt(425) - (((2 + sqrt(425))**2 - sqrt(425)) + 4)).\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197981 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -38479213 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 7:30 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b**(-6)*b*b)*b**(-2\/9)\/((b**2*b)\/b) assuming b is positive.\nAnswer: b**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-28)\/(-16))*(-16)\/(-90). What is the second biggest value in v, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80053286 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b9 - 23e1?\nAnswer: -1e27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 = -10. Let w(h) = -3*h**2 + 4*h - 1. Let g be 3 - (1 - 0)*1. Let y(j) = 0*j**2 - 5*j**2 - 5*j**g + 9*j + 3*j**2 - 2. Give s*y(x) + 9*w(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1871 + 13?\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/13356 and 115\/6678?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20 and 71\/384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -1)\/1 + (-2 - 0). Is (1 + 190)*(-4)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 1319031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 41. Suppose -5*q + x = -2. Solve -3*b - 3 = -4*m - 18, -q*m + 2*b = 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 3*b**2 - 14*b + 14. Let s be a(5). What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 5909 = 13715. Let d = l + 4737. Let w = d - 1065. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(1008)*5)**2 + sqrt(1008) + (sqrt(7) + sqrt(28)\/(sqrt(12)\/sqrt(3)) - (sqrt(7)*-2 + -3))).\nAnswer: 96*sqrt(7) + 151218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, j: 12}. What is prob of sequence kkjk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 18.77 and -23174.98.\nAnswer: -23156.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21578640 a multiple of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k**4 - 11*k**4 - 7*k**4 + (-2*k**3 - k + k)*(-2*k - k + k) + 2*k**3 + 3*k**4 - 2*k**3 to s*k**4 + f*k**3 + q + z*k**2 + t*k and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*y - 195 = -0*k, -147 = 3*k - 3*y. Let z = 59 + k. Suppose -z = -2*i - n, -i + 15 = 3*n + 2. Solve -1 = c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 0, 36 in decreasing order.\nAnswer: 36, 11, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vxvvvvvvvvvvvvvvvv.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 3*v**3\/2 + v. Let f be 41\/6 + 1 + (-5)\/6. What are the prime factors of y(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 1.5. Let p = -1.30000256 + i. Round p to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19407)\/(-21) + 6*4\/(-168) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Suppose -3 - 69 = 3*f. Let m(p) = p**3 + 24*p**2 + p + 27. Let n be m(f). Solve -2*k - a - 5 = w, 0 = 2*k + n*a + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(260\/10)*24*17\/34\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -0.4 (b) 10187 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 35 = 9*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 26*r + 9. Let y(z) = 13*z + 4. Let w(k) = -4*x(k) + 9*y(k). Let b(m) = 10*m - 4*m + m - 5*m. What is w(b(v))?\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-78)\/9 - -10 - 1. Let b(a) be the first derivative of 0*a**4 + 0*a + 0*a**2 - y*a**3 - 7 + 4\/5*a**5. Find the third derivative of b(t) wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10164 and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1293 - -672. What are the prime factors of (-16)\/20*(1 + z\/6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(24)\/(sqrt(12) + (sqrt(12)*-2 - sqrt(12))) + 3 + 2*sqrt(2) + -4)**2.\nAnswer: -15*sqrt(2) + 59\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*x**6 + 8*x**2 - 2*x.\nAnswer: -19320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/20 - w**4\/2 - 5*w**3\/6 + 3*w**2\/2 + w. Let c be z(-5). Is (2\/c)\/((-19852)\/3972 - -5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 61*a**3 - 12*a**2 + 32*a - 4. Let m be x(3). Let p = m - -782. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125798*t + 1267 = -125838*t - 93 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14234 is divided by 6272.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 0)*(-2*k - 3*k + 3*k)*(-k - 1 + 1) - 21*k**2 + k - 73 + 73.\nAnswer: -11*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 = 156*h - 2447 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from hhqnggqhuhnq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*(-15)\/780*2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:18 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 948, 1483, 1756, 1767, 1516, 1003, 228?\n\"Answer: -131*t**2 + 928*t + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.821807um?\nAnswer: 4821.807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f - 37 - 9 = 0. Put -178, f, 3, 0 in increasing order.\nAnswer: -178, f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-2*sqrt(637) + sqrt(637) + sqrt(637))*5 - sqrt(637)*2*3))**2.\nAnswer: 825552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 44, 38, 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o - 146. Calculate l(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 18\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 40*s + 37. Let a be u(1). Suppose -a*c - 60 = -82*c. Calculate the highest common factor of 28 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223249, 223255, 223261?\nAnswer: 223267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((-3 - ((-8 - -12) + -22)) + 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + -26. Let b = y + 231. What is the remainder when 224 is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3\/5, 3\/377.\nAnswer: -5, -4, -3\/5, 3\/377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**18)*v\/(v*(v*v**(-26))\/v))\/((v\/v**(-1\/35))\/v**(-24)) assuming v is positive.\nAnswer: v**(-596\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*c = 8, -8*c + 7*c = -u - 2. Let x(s) be the second derivative of u - 6*s + 0*s**3 + 0*s**2 + 1\/12*s**4. Let i(l) = -5*l. What is x(i(g))?\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -17*o + 10980. Calculate the lowest common multiple of 5 and o.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 f when three letters picked without replacement from {j: 5, y: 3, f: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/32 and -91\/26611584.\nAnswer: 26611584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/21555 + 473819\/8428005. Find the common denominator of o and 19\/207.\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Let u(j) = -3 + j**2 + p. Let t(b) = b. Give t(u(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:01 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (-5 - (-21 + 6 + 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l - 1. Let b = 2 + -8. Is v(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-7 - -2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 1\/73 (c) -0.07 (d) -49 (e) -136 (f) -0.1 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)\/(c**3*c))\/((c**(4\/3)\/c)\/c*c**6) assuming c is positive.\nAnswer: c**(-208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1569370*j**3 - 21916?\nAnswer: -4708110*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53173741.\nAnswer: 53173741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 382.823 nanograms?\nAnswer: 0.000382823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**4 - 320*x**3 + 7230*x**2 - 67520*x + 216125 = 0.\nAnswer: 7, 13, 19, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0454705 to 4 dps.\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrmxrrmxmxrrm?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Let q = s - 7. Let o = 11 + q. Solve 0 = 4*h + j + 5, -o*j + 1 = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**3 + 7 - 20 - 11*w - 3*w**2 + 4*w**2 + w**2. Let l(b) = -7*b**3 - b**2 + 5*b + 6. Let m(j) = 13*l(j) + 6*n(j). Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001104 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -964, -2187, -3904, -6115, -8820?\nAnswer: -12019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 p when four letters picked without replacement from {v: 2, q: 2, y: 7, p: 8}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-1)\/(-3 - 35)). Suppose -x = -2*y + 2*v, 5*v + 1 = -4. Find the common denominator of (-2 - y\/(-75))\/(48\/465) and 101\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 567 = 4*g + 527, -3*f = -6*g + 36 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpropppplopll. What is prob of sequence lpl?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + (0 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5 = -4*j, j = 5*v - 3 + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**3*s**3 - 28358706*c**3*s**2 + 214429*c**2*s**3 wrt s?\nAnswer: 108*c**3 + 1286574*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000112242 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 218b2a (base 13) in base 6?\nAnswer: 24540134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(4*n - n + 19*n) + (20 - 14 - 21)*(2 - 2 - 3*n).\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-1 - -10)*(-3)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n*n\/((n*n**(2\/15)*n*n)\/n*n))\/n*n))**(-3\/4) assuming n is positive.\nAnswer: n**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2394.17 kilometers to nanometers.\nAnswer: 2394170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 975, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 12 + -14 - 18) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 6*z. Let l be v(5). Suppose 4*t + 0*t + 5*f = -19, 5*t + 20 = -l*f. Let g be t + -3699999 + 1 - 1. Round g to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:40 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -351, -698, -1045, -1392?\n\"Answer: -347*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + 3*t**2 + 31*t**2)*(-69 - 5 + 155) as z*t**2 + x + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/25)*y**(2\/9))\/((((y*y**(-3\/4))\/y)\/y)\/y)**(-5\/4) assuming y is positive.\nAnswer: y**(-11287\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29 + -0.321. Let y = -0.369 + o. Let m = 2 - -3. What is the third biggest value in y, m, 2\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/120 - 7*g**5\/60 + g**4\/4 + 4*g**3\/3 + g**2. Let q be m(6). Solve -b - b = -q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -55. Solve 0 = -d*u + 7*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2379 is divided by 214?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 4:56 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -3) + (3 - 2))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(396))**2 + -5 - ((-1*sqrt(396))**2 + -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.27 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1408\/(-880)*(-195)\/12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 - 2*n**3)*(64*n + 0*n - 209*n + 42*n).\nAnswer: 206*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170*p**2\/3 + 43*p\/3 + 10\/3.\nAnswer: -(5*p - 2)*(34*p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 2*f**2 + 5*f - 2. Let h be i(3). Let o = -27 + h. Let a be (-1318)\/(-8) - o\/20. Calculate the highest common factor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - t**2 - 3*t + 1. Let c be u(2). Suppose 0 = -k - 3*m - c, -m - 1 = k - 0*m. Is k\/8 + (-7245)\/(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -513 - 7?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 30*w**2 - 69*w + 103. What are the prime factors of r(26)?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**7\/21 + z**3\/2 - 13*z**2. Differentiate m(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -0.04534 in ascending order.\nAnswer: -0.2, -0.1, -0.04534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from blfcbbcffgljcbf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-7)\/(-2) - 4). Let h = 1 - 1. Let p = -70 - -1052\/15. What is the closest to h in p, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26214*v**2 - v + 357.\nAnswer: 52428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/33)*a**(-5\/3)\/a*(a*a*a**7*a)**48 assuming a is positive.\nAnswer: a**(15754\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-22*(-3)\/(-10). Is h smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7762 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-187)\/9) + (2667 - 2688)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:49 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1368*w + 34634. Let a(i) = i. Determine h(a(c)).\nAnswer: -1368*c + 34634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:28 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 1. Suppose 3 = -4*x - 5*b, 3 = 5*x + 3*b + b. Suppose 0 = -2*q + 4*l + 16, -5*q - l - 2*l - 12 = 0. Sort x, q, j in decreasing order.\nAnswer: x, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 20 = 6*v. What is the remainder when 13 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*n - 11*n - 4114000000. What is n rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -222375044187034 and -0.4.\nAnswer: -222375044187034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 3*z)*(3*z - z - z) - 21*z + 14*z + 9*z - 6*z**2.\nAnswer: -4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 12 = -2*l. What are the prime factors of l + 4 + (-4 - -17)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13139 - 13109. Suppose -91 = -3*w + 11. Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(16) - (sqrt(60) + (sqrt(4860)*2 - sqrt(60))))\/(2*(sqrt(432) - sqrt(432)*-2)).\nAnswer: -35*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -1002202?\nAnswer: -1002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u**2 - u**2 + (u + u + 0*u)*(-2*u + 2*u - u) + (-1 + 2 + 2)*(-6*u**2 - 2*u**2 + 3*u**2).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/10)\/((-16)\/(-40)). Solve 8*o = m*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55205 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190.2 - -190. Let t = 0.1 - 0.1. What is the smallest value in t, 3\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1849143 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(5\/(-40)). Let q be (-2 + 6)*(-9)\/f. Suppose 2*k + q*o - 43 = 0, -3 - 6 = -3*o. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 9*z**2 - z - 3. Let l be t(-9). What is the remainder when 57 is divided by (13 - 3 - -2) + -8 + l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - (6 + -6 + -12 - (-21 + 23)) - 12?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15*18\/(-1080)*-11)\/(1*(-2)\/(-8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5377 - -0.0323. Let p = o - 2.7. Let y = -1631.9 - -1632. Is p less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 67\/5 of a millennium?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50030 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)*2 - (0 + sqrt(1331) + sqrt(1331))**2) + sqrt(44)\/(sqrt(100)*-2 + sqrt(100) + sqrt(100) + sqrt(100)).\nAnswer: -5326 + 21*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.127 - -0.027. Let q = -898 - -894. Let m be (-2)\/(-2)*1 - 6. Which is the closest to x? (a) 0.2 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9587\/5 + -1917. Sort -0.1, n, 2, 0.0273 in increasing order.\nAnswer: -0.1, 0.0273, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -315 from -540955718.\nAnswer: -540955403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -6 + 54 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 30*t**4 - 28*t**3 - 565*t - 4. Let a(r) = 29*r**4 - 27*r**3 - 564*r - 3. Let w(k) = 4*a(k) - 3*x(k). What is the second derivative of w(z) wrt z?\nAnswer: 312*z**2 - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 - 45 = -4*j + x, -5*j - 194053*x - 150 = -194048*x for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 6*d - 9. Let r be x(7). Let l(j) = -12*j + 2. Let w be l(r). Let c = w + 11. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, s: 7}. What is prob of sequence mss?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (24 - -57943) + 0 + 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + ((70 - 77) + -3 + 18 - 22)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 657*d - 4. Let x(v) = -333*v + 3. Determine -2*n(y) - 5*x(y).\nAnswer: 351*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 1. Suppose -54*x + 64*x + 1610 = 0. Let t = x - -195. What is the remainder when t is divided by s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(110466\/43510) + 6\/51.\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/27 - -68\/135. Let g be (-47 - (9 + -6))\/(-6). Let q = 163\/21 - g. Which is the nearest to -1\/2? (a) h (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (-550)\/(-33))*((-13592)\/(-1240) + -11)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**4 + 4044*i**3 + 2699*i**2 + 450*i = 0. What is i?\nAnswer: -1\/3, 0, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 3022410?\nAnswer: 3022413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45.359235ns?\nAnswer: 0.0000000000125997875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 + 331. Let i = x - 10. Let v = i + -103.999672. Round v to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 5, -3, -2, -17.\nAnswer: -42, -17, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 31*r**2. Let w(x) = 3*x**3 + 30*x**2. Calculate -6*w(o) - 5*y(o).\nAnswer: 2*o**3 - 25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6393.0000001825 + -6393. What is f rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5, -21 in increasing order.\nAnswer: -21, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 613 = -25. Let q = c + -84. Let x(n) = -n**2 - n + 13. Give x(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 2 + 2)*(-4703*f**2 + 2344*f**2 + 2351*f**2 - 5*f + 2)*(1 + 0 + 1) in the form n*f**2 + q*f + v + l*f**3 and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1640*t - 6433. Give w(4).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 27*u + 2. Let h be (48\/(-9))\/(5\/15). Let g = 20 + h. What is the units digit of c(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3320 is divided by 319?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-8)*((-305)\/(-25) + -12). Which is the third biggest value? (a) 4 (b) 70 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**2 + 987*y - 2 - 987*y + 2*y**2 + 0*y + 0*y + (y**2 - 2*y**2 + 3*y**2)*(2 - 3 - 3) as l*y + w*y**2 + n and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*x**3 + 2184050*x - 2282332250\/3 - 2090*x**2 = 0.\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5589 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 604*p - 2. Let u(a) = 2*a**2 + 1212*a - 3. Calculate -5*t(x) + 3*u(x).\nAnswer: x**2 + 616*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let f be 3\/(-5) + 3\/5. Let m(b) = b - 4*b + 0 + f. Determine m(n(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -641306?\nAnswer: 641303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + 1 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjzjyjzzfyjjzj. Give prob of sequence fj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*j + 7, 2*j + 2*y = -y + 10. Do j and -57\/28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**2 - 8*g + 18. Let y(w) = -16*w**2 - 10*w + 19. Let x(c) = 5*q(c) - 4*y(c). Determine x(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22231479?\nAnswer: 3, 7410493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 divided by 4?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 390*r + 5391. Give u(-14).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42808 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: Solve -40 = -2*l - 12*o, 0 = -21*l + 236*o - 231*o - 104 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 54 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4002*d - 6949*d + 1311*d)*(-3 - 2 + 3) as k*d + o and give k.\nAnswer: 19280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from hshthshdshhhhhhsttts.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express v - v**2 - 53*v**3 + 127*v**3 + 4*v**2 + 94*v**3 as u + c*v**3 + w*v**2 + m*v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 9*n + 57, -5*h - 20 = 2*n - 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43986 + 43991. Let z = -0.8 - -0.3. Let m = -2 + 3. Sort 2\/13, m, z, g.\nAnswer: z, 2\/13, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 132, 263, 394, 525, 656?\n\"Answer: 131*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 185 = -651*q + 646*q, -g - 5*q - 185 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/11 + 1518956*w\/11 - 1518954\/11.\nAnswer: -2*(w - 759477)*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997461 to the power of 1\/2, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 41. Solve k = x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = n - 93*d + 110*d, 0 = 6*d - 3*d - 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - 0 - (-84 + -92 - -194).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -7 - -7) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 21 = -40*f. Suppose 97 = f*v - 50. Let c(o) = o**3 - 7*o**2 + 3. Determine c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*g**2 - 11085 + 11085.\nAnswer: -143*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 78 = 18*o - 20 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(147) + -4 + 1 + sqrt(147))*3)**2 - (4*((sqrt(75) + (sqrt(75)*2*2 - sqrt(75)))**2 - sqrt(75)) + 0).\nAnswer: -736*sqrt(3) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 + 450 + -2 + 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(825))\/(sqrt(12) + sqrt(1200)).\nAnswer: -10*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 9:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**3 + 79*v**2 - 14*v - 26. Give j(-6).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3727?\nAnswer: -3730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810*2.066.\nAnswer: 1673.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*n - 39*n - 17*n)*(11*n**4 + 9*n**4 + 9*n**4).\nAnswer: 957*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 140.4. What is the smallest value in 12, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let i be h(2). Suppose d + 3*d + 2*a = -42, -4*d - 3*a - 47 = 0. Let s = -8 - d. Put 3, s, i in ascending order.\nAnswer: s, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/18)\/((-22)\/(-16) - 1). Let p be h\/(-4) + (3 - 78\/24). Which is the nearest to -7? (a) p (b) -1\/8 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) 91 (c) -15\/7 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiihiiihihhiihhhhih. Give prob of sequence hh.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:29 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v + 54*v + 5*v**3 - 111*v - 13*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.039 + -24.961. Let n = -24.8 - l. Let m = -11.19 - -11.09. Sort n, 1, -5, m in decreasing order.\nAnswer: 1, n, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*(-905)\/7240*-10*6.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*b = -488, -b = -4*o + 155 + 321. What is the greatest common factor of o and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7125 + -3962. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 12, f - o - 1 = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjabjjjbbabaj. Give prob of picking 4 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.1, 5, -3, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366901 is divided by 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/276 and 119\/66.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -5 + sqrt(54)\/sqrt(2) + sqrt(27) + sqrt(324)\/(sqrt(12) - -2*sqrt(12)) + 4 + (sqrt(27) - (sqrt(27) - (sqrt(27) + 1)))).\nAnswer: -6 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18*10\/(-390) + 216\/1144. Suppose -2*l - 2 = 4*d - 0*d, 0 = 4*l - d + 22. Which is the nearest to y? (a) -4\/5 (b) -5\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/6 - 3*v**5\/5 + 2*v**3\/3 + 7*v + 37. Find the third derivative of c(u) wrt u.\nAnswer: 60*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307632 a multiple of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18756 + 18756.0071044. What is u rounded to four decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -786, -0.4, 3\/109 in descending order.\nAnswer: 3\/109, -0.4, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 406212, 405637, 405062, 404487?\n\"Answer: -575*i + 406787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 + 10*n**2 + 3. Let d(z) = 11*z**3 - 29*z**2 + 2*z - 9. Let s(q) = -3*d(q) - 8*u(q). Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*i**5 + 443*i**5 + 16*i + 6*i**4 - 6*i**4 + 78*i wrt i?\nAnswer: 11000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*x**3 - 23*x**2 - 662*x**3 - 5*x**2 + 28*x**2.\nAnswer: -527*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121769838 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {d: 7, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n - 30 = -2*f - 103*n, 3*f + 5*n = 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - -19 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**4\/4 - 26*x**3\/3 - 60*x**2 - 88. Let y be h(30). Let a(p) = -p**2 + 2*p + 3. Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((184\/(-46))\/(-24))\/(2\/552).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 6*r**2 + 4*r - 4. Let l(k) = -3*k**3 - k - 1. Let g be l(-1). Is z(g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2051\/130 + -66\/13. Calculate the common denominator of d and -151\/168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 28 - 100. Suppose -2*n + 64 = -104. Suppose 0 = -3*s + 3*r + n, s = 4*s + r - 80. Calculate the greatest common factor of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 28. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26354 + 26351. Suppose -11 = -4*t + 3*t. Which is the fourth biggest value? (a) t (b) y (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8692)\/636 - 7824\/144.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20059.\nAnswer: 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 151902847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -393916534 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -n - 1, -p + 3*n - 8*n = 5. Let l = p + 2. What is the second derivative of 6*t**l + t - t**2 - 2*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 291 + 894. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 - -303. What is the lowest common multiple of d and 3?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13675997 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -3178.\nAnswer: -4767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15659.\nAnswer: 1\/15659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384) + sqrt(384)*1)*5 - (1*sqrt(384)*-2 - sqrt(384)))\/(sqrt(512) + sqrt(512) + (sqrt(512) - (-4*sqrt(512) + sqrt(512) - sqrt(512)))))**2.\nAnswer: 507\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 + 2 + -3 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94 * -4\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 9. Let a(z) = -4. Let k(p) = -p**3 - 6*p**2 + 3*p - 9. Let f be k(-7). Suppose 3*l - 4*n = f + 6, 3*n - 4 = -l. Give l*a(r) + 3*w(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 1. Let r be 2\/(-4) - (-5)\/2. Let k be (-1 - -10)\/(3\/r). What are the prime factors of h(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179484817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -3305?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-714))\/((-15)\/10*(-7)\/(-42))?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137286 divided by -58.\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*a - 544 = 5*k, 5*k + 3*a + 1378 = 0. Let p = 502 + k. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 46*i**2 + 3*i. Let q(p) = -5*p**2. Determine j(q(k)).\nAnswer: 1150*k**4 - 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 5*f + 8. Let t be c(-5). Suppose 4*o = 2*m - 42, -o = -m + t + 5. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s**2 + 2898*s + 7036. Determine v(-168).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 - 3)*(1 + 1 - 3) - 1 - 10 - 9)*(2*f**2 - 4*f + 4*f).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 45 = -2*a. Let v(m) = -m**3 - 8*m**2 + 2*m + 10. What are the prime factors of v(a)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 0.5, -7\/59 in ascending order.\nAnswer: -3, -7\/59, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*c + 17*c**3 + 20*c + 4*c**2 - 4*c**2 + 19*c - 4 to the form i*c**2 + z*c + w + r*c**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 8*f**2 + 10*f. Give q(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 + 27610*m**2\/9 + 90407086*m\/9 - 34118638378\/9.\nAnswer: 2*(m - 341)*(m + 7073)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8 - 459\/108.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -665133\/54856 + 1\/13714. What is the common denominator of j and -37\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76\/679 + 3\/97. Let q = -0.4 + 19.4. Let n = -19.5 + q. Put n, x, 3\/5 in descending order.\nAnswer: 3\/5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -6.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -7*y + 35, 5*y - 82 + 56 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11199446 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 116.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 384 + -380. Which is the second smallest value? (a) 301\/8 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28a7 + -35?\nAnswer: -290c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1326\/(-39104))\/51*-96.\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 10. Let i(r) = -4*r - 14. What is the tens digit of i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose v = -0*o + o - 8. Suppose -o = -t + 155. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20375 - -20379. Solve o*z - 141*x + 32 = -137*x, -5*z + 3*x = 36 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13699, 18, 1, -5, 5.\nAnswer: -5, 1, 5, 18, 13699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 2. Let h(b) = 9*b - 4. Let t(g) = -6*h(g) + 11*p(g). Suppose -v = -5*v - 8. Let a(c) = 18*c + 27*c + 27*c + 8 - 68*c. What is v*a(l) + 9*t(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1534)\/34 + 6462\/54927.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12688 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 0.1. Let p = q - 5. Let n = 0.4 - -0.1. Which is the nearest to 0? (a) 0.4 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 32 - 6*b**2 - 32 + (1 + 2 - 1)*(b**2 + 0*b**2 - 3*b**2) in the form g*b**2 + q*b + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 558, 5088, 17932, 43422, 85890, 149668, 239088, 358482?\n\"Answer: 722*q**3 - 175*q**2 + q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-8) + 2\/4. Let a(t) = -t**3 + 7*t**2 + 2. Let s be a(7). Let y be (-2)\/(s\/14*-2). Solve 2*n + n + 14 = -l, -q*n - y = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + -10 - (-106 - -92 - (-11 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294559, 294558, 294557, 294556, 294555?\n\"Answer: -g + 294560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1847175*a*c + 87*a + 2*c - 29812 wrt c.\nAnswer: -1847175*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1957 - -3658. Suppose 0 = 7*v - q + 77. What is the highest common divisor of 87 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 68 - (-92 - -19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoh when three letters picked without replacement from {o: 1, h: 3, y: 1, q: 4, b: 2, e: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 78. Suppose h*n + 21 = 54. Solve -4*x + 3*o - 5 = -0*x, 5*o = -3*x - n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3 - 1. Differentiate -4 - 5 - h - 7 + 34*s wrt s.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 4) to base 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2891 = -0*q - 2*z, -3*q + 1740 = -3*z. Let b = q - 355. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 510*b - 2572. Let n be q(-5). Let m(u) = -u - 7. Let y be m(-6). What is the closest to 0.1 in 3\/5, y, n, 8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/23 + 142518*y\/23 + 142516\/23 = 0?\nAnswer: -71258, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 371882501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/75488 and 31\/196.\nAnswer: 528416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 0.2, -3 in increasing order.\nAnswer: -9, -3, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1 - 17)\/(-1). Suppose 3*q + 2*q = z. Find the second derivative of -6 + h - h**2 + q + 3 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7566 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(1\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*q**2 - 3 - 523*q**2 + 3 + 6700*q**2.\nAnswer: 6756*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 - 868 = -141*g + 451 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 + 0.08. Let c = 0.0315 - -0.2685. Sort 4, p, c, -0.5.\nAnswer: -0.5, p, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2040 and -13\/1647?\nAnswer: 1119960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 12 = -60. Sort -2, z, 0, 39 in decreasing order.\nAnswer: 39, z, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1617515593 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4962\/(-3060) + (-8)\/(-40) and -7\/85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 33*i + 65. What is s(-35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, 2843, -2, 5, -5 in ascending order.\nAnswer: -5, -2, 2, 5, 20, 2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - -53. What is the remainder when l is divided by (-1)\/(-4) + -6 + 849\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3176 and -1229150\/387 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllkklllqqlqlkq. What is prob of picking 1 l and 2 k?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11591864 to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + l + 104 = 0, 5*l = w - 45. Suppose 85 - w = 3*j. Let v = j + -16. Solve 3*z - 3*s = 2*z - 9, 3*z - v*s + 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*u**4 + 7*u**3 + 476 wrt u?\nAnswer: 32*u**3 + 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -96056816\nAnswer: -1\/48028408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - -1*sqrt(324))\/(sqrt(48) + sqrt(192)) + 0.\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.755768?\nAnswer: -1.511536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -678 and 0.26.\nAnswer: -176.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 29 - 30*d**3 - 10*d**3)*(79 - 163 + 83 - d) to n + o*d**3 + j*d + b*d**2 + p*d**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/114*(-323)\/(-51)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 33. What is c(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1292*b**3 + 186*b**2 - 262*b**3 - 186*b**2.\nAnswer: -1554*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 9, 7*z = 3*z + a - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - 4 - 4 - (-64 + 53)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:49 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 4*k - 11. Is d(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18*s + 2. Let v be j(-3). Let f be 12 - ((-1 - 2) + 7). What is the highest common factor of v and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 4. Suppose 3*a = 4*a + 11. Let i(u) = u**3 + 11*u**2 + u + 7. Let w be i(a). What is the remainder when g(w) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 4*n + 1. Let j(k) = 3*k**2 - 3*k. Let z(l) = -4*c(l) - 3*j(l). Let q(r) = -r**2 + 7*r + 24. Let t be q(10). Calculate z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 * 86.6384\nAnswer: -3032.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 - 5*y**4\/12 + y**3\/3 + 9*y**2\/2 - 265*y. Calculate p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8*23*-4. Suppose 7*o = d - 18. Suppose -o*a + 4 = -20. Solve -2*z - 4*b = 24, 2*z - 5*b = -3*b + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00099 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12973277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3. Let q(k) = 4*k**2 + 16. Let m(w) = 3*q(w) - 16*s(w). Let r be 5 - 2 - 1 - 2. Let i(f) = r + 2 - 2 - f**2. Calculate m(i(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 8, y: 2, k: 4, f: 4, m: 1}. What is prob of sequence gff?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*m - 57, -15*i + 16*i = -3*m - 14. Which is the smallest value? (a) -6 (b) i (c) 0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 6*b**2 - 3*b + 1. Suppose -53*f = 123*f - 352. Determine y(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Let z = b - -1. Suppose -5*u + z*f = f - 53, u + f = 5. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, -9, 26.\nAnswer: -9, -2, 0, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-b - b - 2*b + (2 - 2 + 1)*(3 - 3 - 2*b) + 2*b - 2*b - b).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 134 = 2*h - 125, -5*a + 3*h = -7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.083493 and 2.\nAnswer: -0.166986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = -v. Let z be -21*6\/45 + v. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30293.\nAnswer: 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1492 + 1924 = 7*b. Let l = 488 - b. What is the fourth smallest value in -1\/3, 2, l, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, 3\/4, 0.00455 in decreasing order.\nAnswer: 276, 3\/4, 0.00455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.36*0.06.\nAnswer: -0.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3)*(-2)\/4. Which is the third biggest value? (a) 0 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (2*4*sqrt(2736))**2 + (0 + sqrt(2736)*-2 + sqrt(2736))*2).\nAnswer: -175106 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2*s**2 + 2*s + 3. Let u be w(3). Suppose -2*v = -u*v. Let j = v - -14. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + 865. Let p = -116 + o. What is the remainder when p is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 4. What is the units digit of (-7)\/((-21)\/6)*o\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b + 3*u, 0*b = -3*b + 4*u + 9. Let r = -49\/2 - -26. What is the closest to b in r, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/(s**(-2)\/s))\/(s*s*(s\/s**0*s)\/s*s)**(-2\/13))**(-7) assuming s is positive.\nAnswer: s**(-693\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 2*n = -330055. Suppose 0 = -2*j + 7*j + n. What is the units digit of j\/(-34) - (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -15 - 3) + -1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -1053*d**5\/5 + 341*d**3\/3 + 597. Find the third derivative of l(h) wrt h.\nAnswer: -25272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-20)*(-24)\/(-90).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - (sqrt(55)\/sqrt(20) + sqrt(11)) - (2*sqrt(110))\/sqrt(10))**2.\nAnswer: 267\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/12)\/((-54)\/(-684)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/60)\/(((-30)\/6)\/(-100)*-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 1, t: 1, u: 1, b: 1, v: 6}. What is prob of picking 1 v and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 + 24\/18. Suppose -4*a + 16 = 5*c, 3*c = -i*a + 7*a + 17. Let t(u) = -4 + 4*u**3 + 2*u - 5*u**3 + 3 + 3*u**2 + 0*u**2. Determine t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40569)\/3276 + 2 + (-8)\/6. Let s = 3\/91 - x. What is the common denominator of 29\/80 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.6714152 + 20.664. What is n rounded to 4 dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5609171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1736*5*(-2)\/5. Is u\/(-18) - (-30)\/270 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - t - 11*t + 2*t - 18*t**2 - 25.\nAnswer: -8*t**2 - 10*t - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/27 - -25\/189. Let g = 2\/15 - -4\/15. Which is the closest to 0? (a) g (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxdrxddxdxxxxdr. What is prob of sequence rdxx?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 0.04. Suppose 0 = 4*f - 6 - 14. Let s be (1 + -1 + 1)\/(44\/(-220)). What is the nearest to k in s, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:26 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*o**2 + 286 + 211*o + 120*o + 84*o.\nAnswer: -(3*o + 2)*(7*o - 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-46 + 67) - (0 + -16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*m - 4 - 1, 0 = 4*q - 5*m - 27. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = 2*n. Let t be (n*2\/(-12))\/(1\/8). Put -7, t, -1 in decreasing order.\nAnswer: -1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, f: 4, i: 2, k: 9, x: 2}. What is prob of sequence eib?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29363059 to the nearest integer?\nAnswer: 5419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -m + 29 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225171211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -13*b - 45. What is n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 1. What is the tens digit of -2 + (1605\/(-12))\/(5\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1431 and 2279.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from clcyl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 11*d = 399. Find the second derivative of 126*k + 65*k + 46*k**5 + d*k**5 wrt k.\nAnswer: 1300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from aaaaaawaaaw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 22 + 50*y - 67 - 46*y + 21.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(500) + 4) + 5)**2*3.\nAnswer: 9000*sqrt(5) + 55875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-6))\/((-2)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/10 + (6 - -5) + -11. Which is the smallest value? (a) -4\/9 (b) -0.03 (c) r (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2\/329, -5?\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/12)*c*c)\/c*c)**(2\/131) assuming c is positive.\nAnswer: c**(37\/786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7242255 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 - 212143048761?\nAnswer: -212143047893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**3\/3 + a**2 - 7*a - 5. Let n be z(-6). Let b be (-2)\/(-8) + n\/(-4). Calculate the highest common divisor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyyymyyyyymyymyyy. What is prob of sequence my?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*o - 7*u - 15, 4*o - 2*u - 6 = 0. Put 4, o, -2, -4 in ascending order.\nAnswer: -4, -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiiihhuirirurihh. Give prob of picking 2 i and 1 r.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 6)*(-14*o**5 + 11*o**5 - o - 2*o).\nAnswer: -9*o**5 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 1\/24, 0.8, 10, -36, -0.054, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5615 (base 9) to base 3\nAnswer: 12200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/3 - 93524*i**3\/3 + 27857158*i**2\/3 - 18477912*i + 9223368 = 0 for i.\nAnswer: -47058, 1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -70. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:19 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 8*s. Let m be t(-8). Solve 0*v + 10 = 2*v - x, m = -5*v + 5*x + 35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m - 1. Let j(y) = 8*y**2 + 10*y + 10. Calculate -18*a(z) - 2*j(z).\nAnswer: 2*z**2 - 38*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**4 - 4*h**4 - 4*h**4 + 3*h**4 + 0*h**4 + (0 - 2*h + 0)*(4*h**3 - 5*h**3 - h**3))*(3*h - 3*h + h).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, -5147, -16145, -32759, -54989?\nAnswer: -82835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-3))\/4 - (-218)\/6. Suppose s*c = 33*c + 16. Solve 0 = -c*h - h + 5*y + 5, -2*h - 5*y + 16 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 221 (b) -2 (c) -5 (d) -8 (e) -1\/8 (f) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -0.1598679?\nAnswer: 2.7177543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in 0.5, -18.282, -3\/4, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3461964 by 45.\nAnswer: -1153988\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**5 - 8*v**4 - 7*v**3 - 3*v + 3. Let h(x) = 4*x**5 + 8*x**4 + 6*x**3 + 2*x - 2. Let d(f) = 3*h(f) + 2*o(f). Determine y so that d(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684025 to the power of 1\/2, to the nearest integer?\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**7)\/q**16*q\/q**(-9)*q**8*q assuming q is positive.\nAnswer: q**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-10)\/d)\/d)\/d)**(-1\/86) assuming d is positive.\nAnswer: d**(6\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 43*n - 125. What is the tens digit of f(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b - 88 - 94*b - 163*b.\nAnswer: -213*b - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -93 - 3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.85 - 5.85. What is the third smallest value in 1\/12, 12, q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 143460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c + 44. Give x(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -4, -1, 0.1, -4\/13, 28, -3\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/16*-4*8. Suppose 0 = w*z - 3*z + 2. What is the tens digit of 378\/6 + 4 + z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 9*y + 10. Let j be x(-8). Let i(q) = 3*q - 3 - 5*q + 6*q + 6*q**j. Is i(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = p - y, 4*p - 122 = 5*y - 10*y. Let j = 37 - p. Let g(q) = 5*q**2 - 15*q + 15. Let v(b) = -b**2 + 4*b - 4. Give j*g(d) + 15*v(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = f + 5224, -11*f + 20*f = -4*m + 6955. What are the prime factors of m?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111747 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 22*g - 20*g. Suppose 2*w + 3*y - 5 = -0*y, -5*w - 2*y - g = 0. Put 1, 9, w in decreasing order.\nAnswer: 9, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 45413719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52940603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103230809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9970010 = 5*f + 2*u, 27*u - 23*u + 5981980 = 3*f. What is f rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8272 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192793 is divided by 48163?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41112593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -70, 3, -25 in descending order.\nAnswer: 3, -2, -25, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5010*h**2 + 32370*h**2 - 10135*h**2.\nAnswer: 27245*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2. Let d(j) = -2*j + 9073923. What is d(w(c))?\nAnswer: -16*c**2 + 9073923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*d**3 + 7*c**4*d - 9*c**3*d**2 + 2*c**2*d**3 + 123*c*d**3 - d**3 wrt c.\nAnswer: 48*c*d**3 + 168*c*d - 54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 15*b**2 - 19*b + 88. What is s(-9)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 7\/22, -5, -4, -0.1.\nAnswer: -5, -4, -0.1, 1\/21, 7\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 15. Let l = s - -9. Sort 2, 0.2, l in decreasing order.\nAnswer: l, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*((-425)\/(-50) - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2519.64189ns to days.\nAnswer: 0.000000000029162521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03837681349 to five dps.\nAnswer: -0.03838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 7 = -i + 3*b - 16, 6*i + 13 = 2*b - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118, 1114, 3824, 9106, 17818, 30818, 48964, 73114?\n\"Answer: 143*d**3 - d**2 - 2*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -557?\nAnswer: 55\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 10. Calculate the smallest common multiple of y and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1719 divided by 391?\nAnswer: -1719\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207916683.\nAnswer: 3, 13, 641, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.1 + 2.58. Let n = -0.22 - h. Let v = -0.2 - -1.2. Which is the third smallest value? (a) v (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r + 44*r + 147 - 42.\nAnswer: 64*r + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, x: 2, r: 5, j: 6, v: 1}. Give prob of sequence vx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 + 14*t**2 - 14*t - 16.\nAnswer: -(t - 8)*(t - 2)*(3*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -15*o**2 + 2*o - 7. Let r be h(5). What is the common denominator of (-1 - r\/64)*-4 and 22\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23345, 3.635, 5?\nAnswer: 3.635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 + 3*k**2 - k - 1. What is the tens digit of p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1716)\/169 + (-2)\/(-13). Let c be (g\/(-7))\/((-2)\/(-28)). Suppose -17*x + c = -13*x. Solve -3*z - x = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035963642 a multiple of 5284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 985646188 + -0.007\nAnswer: 985646187.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/39? (a) -11 (b) -0.2 (c) 2 (d) -3\/4 (e) -8\/33 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100101 - -101?\nAnswer: -1111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314439.7l in millilitres?\nAnswer: 314439700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1260.50613 to the nearest integer.\nAnswer: -1261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**3 - 3*i**2 + i - 1. Let m be y(1). Solve m*h + 8*h - 72 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(6*z**3 - 6 + 6) + 5 - 2*z**3 - 5 - 2*z + 2*z**3 + 2*z.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2, s: 5, f: 3, e: 5}. What is prob of sequence ds?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20313212 (base 4) to base 8.\nAnswer: -106746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s + 2. Let q be ((-77)\/(-21))\/(2\/(-12)). Let j(z) = -z. What is q*j(p) - 2*u(p)?\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001246472128 to six decimal places.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -15*p + 1371. Let i = 2106 + p. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*t + 117 - 186 + 69 + 96*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 - (-2 + 2) - (11 + 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:06 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/494364 and 1\/96?\nAnswer: 3954912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nine eighths of a week?\nAnswer: 189","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.4*3.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 2*a - 26, -s = -2*a - 10. Suppose 0 = -s*h + h + 5. Let g(k) = -6*k**2 - k + 1. Give g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*v + 20 = 0, -23 = 4*r + v - 0*v. Let q(u) = -u**2 - 2*u + 3. Give q(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 - x**2 - 4*x. Suppose 3*q + 2*q - 5 = -l, -3*l = 5*q - 15. Determine j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*z = 5*q + 9, 5*q = -2*z + 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 7)\/((-9)\/(-6)). What is the common denominator of 15\/12*40\/(-6) and (-30)\/(-56) - r\/16?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 44 = 76. Suppose -28*z + t = -27*z + 5*f, 4*f - 10 = -2*z. Solve -5*w + 5 = -3*u - 1, -2*u = z*w + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1297 + -1298. Suppose -12 = 4*y + j, 3*y - 10 = 2*j + 2*j. Suppose -s = 3*s. Sort 3, s, h, y in ascending order.\nAnswer: y, h, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2))**(1\/40)*((k\/k**(-1))\/k)**(-7\/8))\/((k\/(k\/(k*k**(2\/3))))**(-2\/9)\/((k*k**(2\/19)\/k)\/(k*k**(-4\/5)))) assuming k is positive.\nAnswer: k**(-269\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.675673 litres to millilitres.\nAnswer: 8675.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3*d)**12\/((d**(-5\/6)*d)\/(d\/(d**(-3\/5)\/d))) assuming d is positive.\nAnswer: d**(1873\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 2457381?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34096645 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.062 + -9.462. Let k = z - -9. What is the third smallest value in k, 3\/5, 1\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2381*r + 4770 + 542*r**2 + 451*r**3 + 362*r**3 - 815*r**3 - 817*r.\nAnswer: -2*(r - 265)*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64579783*w**3 - w**2 - w + 461800195 wrt w.\nAnswer: 193739349*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1578, -1599, -1634, -1683, -1746, -1823?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 4, 7, -3096, 1 in descending order.\nAnswer: 7, 4, 1, 0, -8, -3096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2007 divided by -1.\nAnswer: -2007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28944.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-13825)\/(-735))\/(-79))\/(2*((-3)\/(-3))\/24)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 27 = -2*p - 113, -5*p = 4*s + 129. Let i = s - -43. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/9 + 5182*m\/9 + 10372\/9 = 0. Calculate m.\nAnswer: -2, 2593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008172 and 968?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001386 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 414*q**5\/5 - 23*q - 884. What is the derivative of w(v) wrt v?\nAnswer: 1656*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 5. Let t(j) = -j**2. What is s(t(h))?\nAnswer: -5*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-73)\/45 - 14\/63. Put -0.1, n, 40 in decreasing order.\nAnswer: 40, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1 - 1 + 1 + 4 + 44*y. Let s be q(5). Suppose -118 - s = -7*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - 66\/9*(-1)\/(-42) and -23\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - -2392.93?\nAnswer: 2393.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.005 - 0.005. Which is the nearest to -1\/2? (a) -1\/3 (b) 0.2 (c) -0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1293 + -1293.3. What is the nearest to 0 in o, 1\/7, 1, -1\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3156 - 26454?\nAnswer: -31632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least 3.484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -184, 1, -3, -5\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -2?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514724069 by 379.\nAnswer: 1358111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 313330 by 1.\nAnswer: 313330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.01, 4\/21, -0.1797?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*j*v - 2*d**3 - 162*d*j**2 - j**2 - 74*v wrt d.\nAnswer: 6*d**2*j*v - 6*d**2 - 162*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47014.\nAnswer: 2, 11, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 + b**2 - 2*b - 1. Let c(t) = -12*t**3 - 4*t**2 + 5*t - 36. What is -c(r) - 2*h(r)?\nAnswer: 6*r**3 + 2*r**2 - r + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**4\/3 - 14*g**3\/3 - 92*g**2. Suppose -2*i + 3*d + 2*d = 42, 0 = -5*i + 3*d - 86. What are the prime factors of u(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 18 + 54 = 0. Let p = n + -5. Let g(t) = 19*t + 27. Is 16 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2175\/8 - -1187\/8. Let g = -160 - a. Calculate the common denominator of g and -15\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 14 + 12 + 0*a)*(-a - 8 + 8).\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024018 to 5 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.5, -25, -183, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6264 and -101\/18.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(4*z + 4*z - 16*z)*(-3*z**3 + z - z).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.6 - 43.2. Let c = 3483.511 - 3481. Let a = c - n. Round a to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4368659.\nAnswer: 4368659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7705686 to the nearest integer?\nAnswer: 2776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 32*b + b + 144*b.\nAnswer: 173*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159138 and 13472.\nAnswer: 2546208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1522354082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22376816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**3 + 7*m**2 + 2*m - 2. Let f(x) = -20*x**3 - 14*x**2 - 5*x + 5. Let j(k) = -5*b(k) - 2*f(k). What is the third derivative of j(q) wrt q?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 11*h**2 + 2*h - 22. Let b be 17 - (4 - 2) - 4. Let m be o(b). Suppose -u + 0*u = 0. Solve 2*i - p - 15 = m, u = -3*p + 2 - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45169 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19420825?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2814 divided by -5.\nAnswer: 2814\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -10*p - 888. Let d = 309 + p. Find the common denominator of (14\/(-119))\/((-8)\/d) and 1\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6366 divide 331459716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -90\/50471 (b) -3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -473685 - -216723. Let i = 256961.620087 + z. Let q = i - -0.38. Round q to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, -103, -97, -91, -85?\n\"Answer: 6*h - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 3 = 21*l, -m - 3*l - 41 = 0. Is -652\/13 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwwpwbpw. Give prob of sequence bw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 48209 and 1.037657386.\nAnswer: 48210.037657386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 2*u + 4. What is c(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.903 + 0.097. What is the nearest to 0 in a, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtl when three letters picked without replacement from clctcjt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 2. Let a be o(-2). Let u be (a\/6)\/(-1)*-3. Let x be (-2)\/(-1 - 1) - -1. Are x and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*f + 24. Let o = f - 21. Find the second derivative of -18*d + 0*d**3 + 19*d + o*d**3 wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36317.\nAnswer: 23, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2 - n**2 - 1 + 4 - 2*n - 3*n. Let u be j(-6). Let m(r) = -r**3 + 3*r**2 + 3*r + 4. Let x(d) = -d**3 + d**2 + d + 1. Calculate u*m(g) + 3*x(g).\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316835 is divided by 151890.\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/1 + 2)*-1. Let w(o) = 5*o - 58. Let n be w(12). Sort 5, n, c in increasing order.\nAnswer: c, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**5\/3 - 8749*k**4\/3 + 6557*k**3 - 13111*k**2\/3 + 2185*k\/3 = 0.\nAnswer: 0, 1\/4, 1, 2185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.5 (c) -142883 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-6) - 4\/(-12). Solve 6 = -i + p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -14*o + 5*o**3 + 13*o + 10*o**2 + 6*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 18*h + 157. Give f(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*o - 113 + 9. Which is smaller: o or 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 + 2*w**2)*(4*w**3 - 2*w**3 - w**3) - w**3 - 2*w**5 + w**3.\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057004 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(48\/(-18)))\/(60\/48*12).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.182 or -1.01?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 336963407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**2 - 4*b + 16. Let j be r(-5). Let l = j - -1001. List the prime factors of l.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - 103*u - 25. Is w(28) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**19*s*s)**44 assuming s is positive.\nAnswer: s**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24492 and -1.\nAnswer: 24492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2057)*1 - sqrt(2057)) + 4 + sqrt(17)*5 + -2 + (sqrt(272)*5 - sqrt(17)))**2.\nAnswer: 96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -549, -0.3 in ascending order.\nAnswer: -549, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.1158011\nAnswer: 0.04632044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12462233 + 27053006. Let m be -3 + -1 + 12\/(-4) + 13. Suppose d + 28009227 = m*c. Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10452 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*o + 10, 0 = 3*o + 2*t + 2*t + 26. Let f(r) = 3*r**2 + 7*r - 6. Is f(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3556.418 from -0.73.\nAnswer: -3557.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 - (9 + 96 + -15)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55034201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36716\/33 + 1112. Find the common denominator of f and 67\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -14. Suppose -o = -m - 2*m. Suppose 3*y - m*f - 160 = f, -5*y - 2*f = -246. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 0.8 (b) -5 (c) 1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 6*p - p)*(-3 + 3 + 2*p) + 46*p**2 + 108*p**2 + 19*p**2.\nAnswer: 177*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2760 - 2760.06. Let f = 6 + -4. Which is the nearest to i? (a) -0.3 (b) -1 (c) f (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42719388 is divided by 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1478, 1472, 1466, 1460, 1454?\n\"Answer: -6*a + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 5, w: 3, i: 1}. Give prob of picking 1 i and 2 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) -4\/7 (c) 2\/7 (d) 0.5 (e) 0 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290*w**3 - 1639*w**2 - 390026*w?\nAnswer: 1740*w - 3278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -5, -9, 5, -1, -119, 4.\nAnswer: -119, -35, -9, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205.\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 - 242\/(-36) and 107\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/6*(3 - 1). Suppose j*w - 18 = 2. Which is the third biggest value? (a) -1\/2 (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 4 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 17*b - 8*b + 140 = 0. Put -35, 1\/4, b in decreasing order.\nAnswer: b, 1\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 7791 = 7896. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2611 + 0.2611. Let y = 0.2 - 0.3. Let p = -239\/96 + -1\/96. Which is the nearest to z? (a) y (b) p (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 11*h**5\/60 - 3*h**4\/2 - 61*h**2. What is the second derivative of k(r) wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 26\/9*y - 2\/9*y**3 + 4\/3 + 14\/9*y**2 - 2\/9*y**4 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1257, 5028, 11315, 20118, 31437, 45272?\n\"Answer: 1258*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 76\/4 - (-7)\/((-28)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 707408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225184 - 4954915\/22. Let n = u - -79\/2. Let o = 0.1 + -0.1. What is the third smallest value in 1, n, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 + y**2 - 2*y + 1. Let q = 6 - 3. Suppose -5*d + 3*s + 13 = 0, q*d = -4*s + s + 3. Calculate the smallest common multiple of d and p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2286 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 8}. What is prob of sequence tut?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388219, -388222, -388227, -388234, -388243, -388254?\nAnswer: -388267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18520)\/8400 + 6\/45 and 11\/2446.\nAnswer: 17122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:27 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-594)\/17820*(-111)\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let a(w) = -7*w + 6*w - 3*w - 5*w. Determine h(a(n)).\nAnswer: -243*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1008\/(-216))\/((-2)\/(-3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 11960*a + 17880200.\nAnswer: 2*(a - 2990)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (18 + 33 + 20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1753517?\nAnswer: 17535170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 572663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 6:01 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -35*u**3 - 5*u + 7 + 762*u**2 - 759*u**2 + 3*u. What are the prime factors of r(-3)?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 459816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 4 + -2*sqrt(80) + -5*((sqrt(80) + -1 + sqrt(80))**2 + sqrt(80) - sqrt(80)))*-5.\nAnswer: -360*sqrt(5) + 8007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.474 - -17.274. Put -1\/7, s, 2\/155, -1, 1\/4 in descending order.\nAnswer: 1\/4, 2\/155, -1\/7, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9 + 8. Which is the closest to 0.2? (a) s (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/78 + 434*v**3\/13 - 423801*v**2\/13 + 10208*v. Factor k(t).\nAnswer: -2*(t - 651)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -112. Let d = 83 - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.79 - -0.21. Let k = j + -10.98. Let p = -0.020016 + k. What is p rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 10 - 5. Calculate the smallest common multiple of t and 2\/13 + 564\/52.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + (-19 - -18) + 178?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from qdh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y - 3*t, -6*y = -y + 4*t - 7. Let f(o) = o**3 + 4*o**2 + 3. Calculate the remainder when f(y) is divided by (-17)\/(-1) + -1 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20151982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:01 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -10, -4, -5 in ascending order.\nAnswer: -10, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 141890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0*3\/(-9). Let q(d) = 47*d + 1. Let f be q(b). Suppose 5*a - g = f, a - 3 = 2*g + 3. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + (54 - 39).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j - 2 + 578*j**4 - 576*j**4 + 1 in the form b*j**3 + o*j**4 + s*j**2 + k + z*j and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 8. Let j be b(-14). Let m be (-6)\/j - (-18)\/(-10). Sort m, 1, 2\/19 in decreasing order.\nAnswer: 1, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 860538.\nAnswer: 35282058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157751979 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*r**3\/7 - 780*r**2\/7 - 1548*r\/7 - 864\/7.\nAnswer: -3*(r + 8)*(5*r + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -4. What is the least common multiple of 22 and 0 - -1 - (-5 - a)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*y**3 + 3242*y**2 + 16*y + 53665241.\nAnswer: 24*y**2 + 6484*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 18, 3, -38, -117?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11518 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*i - 102, 175 + 17 = 4*s - i. Suppose -5*m - h = -s, m + m - 3*h = 29. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -10, -0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 135916 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -487 - -487. Solve -l - 59 + 56 = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3655.983 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -20\/2169 (b) 1\/3 (c) 2\/3 (d) -4\/3 (e) 4 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(1\/(-98)). Suppose 5*k + 38 + r = 2*x, -10 = -2*k. Suppose -4*c - 2*s + x = 2*s, 2*s + 70 = 5*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 0\/(-1) + 3 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.85379886476.\nAnswer: -0.95379886476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - 7.9. Let m = 1.86 - 12.57. Let t = m - u. Round t to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 - 9*q + 6. Let s be v(7). Calculate the least common multiple of 6 and (-4)\/s*-1*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 7. Let j be z(-6). Let h be (-4)\/(2 - 6)*(4 - -1). Sort j, 2, h.\nAnswer: j, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1495 by 1.\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (3 + 0)) + -2 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13774 + -516694. Let y = -1025920 - n. Round y to the nearest 10000.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -5. What is the lowest common multiple of 18 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = 3*q - 2*c, 0 = 2*q + 2*c - 8. Let k(t) = t**3 - 35*t**2 + 33*t + 33. Let h be k(34). Is h greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -25793*u + 587. Is c(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(99\/(-11))\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**22)**(3\/23)*(y**(-11)*y)**(-4\/5) assuming y is positive.\nAnswer: y**(121\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 14 - 4. What is the units digit of y\/(-16) - 19569\/(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*n*n)\/(n\/n**(1\/2))*(n*n**2)**(-37)*((n\/(n\/(n\/n**1)))\/(n*n*((n\/(n*n**(2\/7)))\/n)\/n*n))**8 assuming n is positive.\nAnswer: n**(-4853\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*b - v - 3*v, -b + 1 = -v. Solve 3*r - r = -b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.4. Let k = 84.3 - 85. Let s = k + v. What is the second smallest value in s, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5087 (b) 0.15 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11681600 to the nearest one hundred thousand.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ddddssddssdddsdsdds.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k + 1. Let y(i) = i**2 - 6*i - 4. Let n be y(7). Let x be o(n). Which is the second smallest value? (a) x (b) -2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -14. Let t = -638 - -528. Let k = t + 110.06. What is the biggest value in 3, k, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 2*q - 16, 36 = -4*x - 3*q. Let b = x - -10. Factor 1\/4*r**2 + 1\/4*r**b + 1\/2*r**3 + 0 + 0*r.\nAnswer: r**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 + 1 = -3*o, 4*o = -5*m - 3. Put o, -3, 1 in ascending order.\nAnswer: -3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. What is the closest to q in -1\/9, -3, -15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Let r = -29 + 31. What is the nearest to 2\/3 in -1, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 - -466. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*60\/75*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 33*u + 1372. What are the prime factors of 2\/(-10) + (u\/35 - -8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928\/6025*(-35)\/14?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7 and ((-7)\/14)\/(107\/(-38) + 2).\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325883 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let c = 5 + t. Suppose 2*j + 14 = c*z, 3*j = 7*j - 20. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*g + 11. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.4 - -7. Which is the closest to 0? (a) 4 (b) k (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 29*i - 10. Calculate h(29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 57. Find the second derivative of 4*t**4 - 45*t - 84*t + n*t wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 17 = -3*f, -875*y + 876*y = -3*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2589284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.2 + -5.19999935. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 3.4 (d) 4 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1064\/399*15\/(-70))\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-2\/31)\/(k**(-2\/3))**(-20\/13)*(k**0)**(-33)*(k**(-2)\/k)\/(k\/k**(-1)) assuming k is positive.\nAnswer: k**(-235\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44 and 21341.\nAnswer: 939004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d + 4*d - 4*d)*(-6 + 1 + 4) + (-2*d + 4*d - 4*d)*(32 - 685 + 288))*(-2*d + 5*d - d)*(3 - 5 + 0).\nAnswer: -2916*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + -31384650?\nAnswer: -31384706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 232\/175?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40540 - -14254. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 239*s**2 - 3*s - 232*s**2 + 4*s in the form w + g*s + f*s**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344996 divided by -6.\nAnswer: 172498\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from {h: 7, o: 4, c: 7}.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41476, 41478, 41480?\nAnswer: 41482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44043 (base 5) in base 14?\nAnswer: -115d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1411 * -14331.\nAnswer: -20221041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 48*a**2 - 20*a + 264.\nAnswer: -4*(a - 2)*(a + 3)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 63, 127, 227, 375, 583, 863, 1227?\n\"Answer: 2*h**3 + 26*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -12646?\nAnswer: -1\/12646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 6.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4854)\/373758)\/((6\/(-4))\/(-3))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 4. Let l be -2 + 3 + (3 - -4). Is 18 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228064 is divided by 678.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 8*a + 5. Let v be k(3). Is v != -6\/215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 158 = 5*x - y, y = x - 38. Suppose -j = -4*i + 3*j - x, -j + 20 = -3*i. What is the units digit of (-1)\/i - (-19)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.35 + 1.69. Let a = -0.06 - o. Let c = a + 1.40036. What is c rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 214, 320?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose -t*l + l + 2 = 0. Suppose -j - 21 = -y - l*j, -46 = -2*y - 4*j. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 72, 96?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -t - 3*t - 4, 3*t + 8 = 2*a. Let n(y) = -y**3 + 6. Let z be n(0). Let o be (-1 - 2)\/(-6)*z. Solve 1 = -2*m - a*v + 7, 0 = o*m - 4*v - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 9 + 4)*((0*m - 4*m + 6*m)*(-2 - 1 + 2) - 2*m + 13*m - 3*m) as p + q*m and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 4}. Give prob of sequence qn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 292922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1. Let c(u) = -322*u + 43. Let g(z) = -73*z + 10. Let x(b) = 2*c(b) - 9*g(b). What is 6*s(j) + x(j)?\nAnswer: 13*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-18))\/(13\/(-78)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 56*u**2 + 129*u + 2. Let i = 498 - 513. Is n(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -5*x - 20, -b - 5*x - 10 + 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Let i(x) = -x**2 + x + 3. Let v be i(0). Suppose 4*f - 3*u - 58 = 0, 0*f + v*f = l*u + 40. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 359?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -472 + 4 + -1 + 3\/(-3). Let r = t - -475. Let v(w) = 6*w**2 - 10*w - 3. Let k(g) = -g**2 + g. Let s(h) = -5*k(h) - v(h). Determine s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/(-651)*(-21)\/(-9). Let s = -0.2 + 0.2. Let y = -14\/85 - -124\/1785. What is the nearest to s in 0.2, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose -3*v + 3*a = 2*v + 11, 0 = v + 3*a + 13. Let u = 12 - 17. Sort u, o, v.\nAnswer: u, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 8*i. Let m be c(8). Suppose -4*b - 60 = -3*w, -3*w + m*b = 2*b - 60. Solve z + 6 = -4*a - 7, 4*z = 2*a + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - -2*(-5)\/(-3). Suppose 0*x + 188 = 4*x. Suppose -x = -3*m - 5*z, -4 + 8 = k*z. 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: What are the prime factors of 32614001?\nAnswer: 7, 373, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1090*y = 1095*y - 7070. List the prime factors of y.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 12. Let d(c) = c**3 - 10*c**2 + 8*c + 12. Let t be d(9). Let f(o) = o**3 + 0 - t + 5*o - 1 + 6*o**2. Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*t - 5199 - 3771 = 0 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/196581 and -143\/5106.\nAnswer: 393162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4403*u = -882*u - 343525 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + v**2 + (0 + 0 + 1)*(-7*v**2 + 4*v**2 + v**2) + v**2 + 0*v**2 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9473, 18955, 28437, 37919?\nAnswer: 47401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*m + 228, -76 = 2*s - 3*m + 33. Let g = 120 + s. What is the greatest common factor of g and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-5))\/(4 - -7)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 50 = -2*p - 46, 5*s - 4 = -2*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m + 397 + 170 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o - 21. Suppose -2*v + 4*v - o = 0. What is the least common multiple of (-92)\/322 - 65\/(-7) and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -4\/7, -7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35619899 divided by 217.\nAnswer: 164147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018950912 rounded to 4 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/36*(-375 + 0). What are the prime factors of z\/10 - 6\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1250?\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/(p\/(p\/p**6)))\/p)\/p)**2)**(1\/14))**(-10))**(-28) assuming p is positive.\nAnswer: p**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*g - 3*g - 5 = 0, 10 = -2*g. Differentiate 6*t**2 + 3*t**2 - 9*t**2 + 3*t**4 - u with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194851608 divided by 4.\nAnswer: 48712902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*r**6*v**2 + r**6*v - r**2*v**2 + 6116*r**2 + 2*r wrt r.\nAnswer: -7440*r**3*v**2 + 120*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 - 4*w**3 - 2*w**3)*(3 - 3 - 4)*(2 + 12 - 2) in the form l*w + k + q*w**3 + z*w**2 and give q.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -23, -26, -29, -32?\n\"Answer: -3*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-14 - -20) - 81 - (-3 + 2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 410. Let n = -90 - d. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 2. Let k(d) = -d - 1. Let q(p) = j(p) - 2*k(p). Suppose 4*i = 11 + 13. What is the units digit of q(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1428224 and 11264?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 p when four letters picked without replacement from {p: 4, e: 2, d: 6}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 96*f. Let b(m) = -4*m. Calculate z(b(o)).\nAnswer: 16*o**2 + 384*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 702\/5 - 704\/5*z + 2\/5*z**2 = 0.\nAnswer: 1, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12322892, -24645863, -36968834, -49291805?\n\"Answer: -12322971*r + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (99 + 80*k - 97 + 169*k)*(6 - 4 - 9) in the form o + p*k and give p.\nAnswer: -1743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/12 - 5*x**3\/6 - 9*x**2\/2 + 4*x. Let f be p(7). Let 0*v - 4 - v**2 + f*v - v = 0. Calculate v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 8*n + 28 = 0. Let p(c) = 7*c - 1. Determine p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2414121110 (base 5) in base 12?\nAnswer: -1a68955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40010 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: Find the second derivative of -115*j*o**3 - 2*j*o - 8736*j - 6*o**4 + 2894*o**3 - 746 wrt o.\nAnswer: -690*j*o - 72*o**2 + 17364*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14242 (base 5) to base 14\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(3*f - 3*f - f) + 182*f**2 - 1429*f + 1429*f - 53 + 3*f**2 + 53.\nAnswer: 187*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.17 + 0.17. Let n = -3 - -6. Let j = 2 + -2.2. What is the nearest to -2 in r, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384610 rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + 306*m**2 - 313*m - 272. What is u(-103)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}